Die shrink: How Intel scaled down the 8086 processor

The revolutionary Intel 8086 microprocessor was introduced 42 years ago this month so I've been studying its die.1 I came across two 8086 dies with different sizes, which reveal details of how a die shrink works. The concept of a die shrink is that as technology improved, a manufacturer could shrink the silicon die, reducing costs and improving performance. But there's more to it than simply scaling down the whole die. Although the internal circuitry can be directly scaled down,2 external-facing features can't shrink as easily. For instance, the bonding pads need a minimum size so wires can be attached, and the power-distribution traces must be large enough for the current. The result is that Intel scaled the interior of the 8086 without change, but the circuitry and pads around the edge of the chip were redesigned.

The photo below shows an 8086 chip from 1979, and a version with a visibly smaller die from 1986.3 (The ceramic lids have been removed to show the silicon dies inside.) In the updated 8086, the internal circuitry was scaled to about 64% of the original size by length, so it took 40% of the original area. The die as a whole wasn't reduced as much; it was about 54% of the original area. (The chip's package was unchanged, the 40-pin DIP package commonly used for microprocessors of that era.)

Comparison of two 8086 chips. The newer chip on the bottom has a significantly smaller die. The rectangle in the upper-right of each die is the microcode rom.

The 8086 is one of the most influential chips ever created; it started the x86 architecture that still dominates desktop and server computing today. Unlike modern CMOS processors, the 8086 was built from NMOS transistors, as were the 6502, Z-80, and other early processors.4 The first chip was built with HMOS,5, Intel's name for this process. Intel introduced improved HMOS-II in 1979 and in 1982, Intel moved to HMOS-III, the process used for the newer 8086 chip.6 Each newer HMOS version shrunk the size of features on the chip and improved performance.

Two versions of the 8086 die, at the same scale. The bond wires are connected to pads around the edge of the die.

The photo above shows the two 8086 dies at the same scale. The two chips have identical layout in the interior,7 although they may look different at first. The chip on the right has many dark lines in the middle that don't appear on the left, but this is an artifact. These lines are the polysilicon layer, underneath the metal; the die on the left has the same wiring, but it is very faint. I think the newer chip has a thinner metal layer, making the polysilicon more visible.

The magnified photo below shows the same circuitry on the two dies. There is an exact correspondence between components in the two images, showing the circuitry was reduced in size, not redesigned. (These photos show the metal layer on top of the chip; some polysilicon is visible in the right photo.)

The same region of the two dies at the same scale.

However, there are significant differences around the edges of the dies. The bond pads around the outside are closer together, especially in the bottom right. There are two reasons for this. First, the bond pads can't shrink very much, since they need to be large enough to attach bond wires. Second, the power distribution traces around the edges are wider in order to support the necessary current. (Look to the right of the microcode ROM in the lower right, for instance.) Part of this is because the power traces in the middle of the circuitry were scaled down with the rest of the circuitry, so they are smaller; the outside traces need to pick up the slack. In addition, the thinner metal layer in the newer chip can't support as much current without being widened.

A bond pad and associated transistors, comparing the old chip (left) and new chip (right). In the copyright date, the top of the "6" is strangely flat; it looks like they changed a "1985" to "1986".

The photo above shows a bonding pad with an attached bond wire. The drive transistors are above the pad. The newer chip has almost the same size pad, but the power drive transistors have both shrunk and been redesigned. Note the much thicker metal power wiring on the newer chip. The Intel logo was moved from the bottom right to the bottom left, probably because that's where there was room.

A closer look at the dies

First, a bit of background on the NMOS construction used in the 8086 and other chips of that era. These chips consist of a silicon substrate, which is doped (diffusion) with arsenic or boron to form transistors. On top, a layer of polysilicon creates the gates of the transistors as well as providing wiring between components. Finally, a single metal layer on top wires up the components.

A semiconductor process (such as HMOS-III) has specific rules on the minimum size and spacing for features on the silicon, polysilicon, and metal layers. By looking closely at the chips, we can see how the features correspond to the design rules for HMOS I and HMOS III. The table below (from HMOS III Technology) summarizes the characteristics of the different HMOS processes. The features get smaller and the performance gets better with each version. (Intel got a 40% overall performance improvement going from HMOS-II to HMOS-III.)

	HMOS I	HMOS II	HMOS III
Diffusion Pitch (µ)	8.0	6.4	5.0
Poly Pitch (µ)	7.0	5.6	4.0
Metal Pitch (µ)	11.0	8.0	6.4
Gate Oxide Thickness (Å)	700	400	250
Channel Length (µ)	3.0	2.0	1.5
Idsat (mA)	8.0	14.0	27.0
Minimum Gate-Delay (ps)	1000	400	200
Speed-Power Product (pJ)	1.0	0.5	0.25
Linear Shrink Factor	1.0	0.8	0.64

The microscope photo below shows a complex arrangement of transistors in the older 8086 chip. The dark regions are doped silicon, while the white rectangles are the transistor gates. (There are about 21 transistors in this photo.) A key measurement is the channel length, the length of the gate between the source and drain. (This is the narrower dimension of the white rectangles.) I measured 3 μm for these transistors, which nicely matches the published value for HMOS I.8 This indicates the chip was manufactured with a 3 μm process; in comparison, processors are now moving to a 5 nm process, 600 times smaller.

Transistors in the older 8086 chip. The metal and polysilicon were removed for this photo. Circles are vias that connect to the metal layer.

The photo below shows transistors in newer 8086 at the same scale; the transistors are much smaller. The linear dimensions are scaled by 64%, so the transistors have 40% of their original area. Because I processed this die differently, the polysilicon remained on the die, the yellowish lines. The doped silicon appears pinkish, much less visible than before. I measure the gate length as 1.9 μm, which is 64% of the previous 3 μm. Note that HMOS-III supports a considerably smaller 1.5 μm channel length, but since everything shrinks by the same 64% factor, the channel length is larger than necessary. This illustrates that uniformly shrinking the die wastes some of the potential gain from the new process, but it is much easier than completely redesigning the chip.

Transistors in the later 8086 chip. There are many vias between the silicon or polysilicon and the metal (which has been removed).

I also looked at the spacing (pitch) of lines in the metal layer. The photo below shows some horizontal and vertical metal wiring in the older chip. I measured 11μm pitch for the metal lines, which matches the published HMOS I figure. The shrink to 64% yields 7 μm pitch on the new chip, even though HMOS III supported 6.4 μm. As before, the constant shrink factor doesn't take full advantage of the new process.

The metal layer of the older 8086 chip. Reddish polysilicon wiring is visible underneath the metal.

Finally, I looked at the pitch of the polysilicon wiring. The photo below shows the older 8086; the polysilicon has been removed leaving faint white traces. These parallel polysilicon lines probably formed a bus, routing signals from one part of the chip to another. I measured 7 μm pitch for the polysilicon lines, matching the published HMOS figure. (Interestingly, polysilicon wiring can be denser than metal wiring under HMOS rules.) The newer chip has 4.5 μm polysilicon pitch, compared to possible 4.0 μm.

Polysilicon traces on the older 8086 chip.

Conclusions

A die shrink provides a way to improve the performance of a processor and reduce its cost without the effort of a complete redesign. Comparing the two chips, however, shows that a die shrink is more complex than uniformly shrinking the whole die. While most of the circuitry is a straightforward shrink, the bond pads didn't shrink to the same degree, so they needed to be moved around. The power distribution was also modified, adding more power wiring around the outer part of the chip.

Modern microprocessors still use die shrinks. In 2007, Intel moved to a tick-tock model, where they would alternate shrinks of an existing chip (the "tick") with the production of a new microarchitecture (the "tock").

I plan to analyze the 8086 in more detail in future blog posts so follow me on Twitter at @kenshirriff for updates. I also have an RSS feed.

Notes and references

1. The 8086 was released on June 8, 1978. ↩

2. It's actually quite remarkable that MOSFET circuits still work after being scaled down over a large range, since most things don't scale as easily. For instance, you can't scale down an engine by a factor of 10 and expect it to work. Most physical things suffer from the square-cube law: the area scales with the square of the ratio, while the volume scales with the cube of the ratio. For MOS circuits, however, most things either stay the same with scaling, or get better (such as frequency and power consumption). For more details on scaling, see Mead and Conway's Introduction to VLSI Systems Ch 1 sect 2. Interestingly, that 1978 book says that scaling had a fundamental limit of 1/4 micron (250 nm) channel length due to physical effects. That limit was wildly wrong; transistors are now moving to 5 nm, through technologies such as FinFETs. ↩

3. The older chip says ©'78, ©'79 on the package and ©1979 on the die and has a 7947 (47th week of 1979) date code on the underside. The newer chip says ©1978 on the package but ©1986 on the die and has no identifiable date code, so I figure it is from 1986 or slightly later. It's unclear why the newer chip has an older copyright date on the external package. ↩

4. A brief description of the technologies in early processors. N-channel MOSFETs are a particular type of MOSFET transistor. They have considerably better performance than the P-channel MOSFETs used in the earliest microprocessors, such as the Intel 4004. (Modern processors use N-channel and P-channel transistors together for lower power consumption; this is CMOS.) Gates built from N-channel MOSFETs require a pull-up resistor, which is implemented by a transistor. Depletion load transistors are a type of transistor introduced in the mid-1970s that perform better as pull-up resistors and don't require an extra power supply voltage. Finally, MOS transistors originally used metal for the gate (the M in MOS). But in the late 1960s, Fairchild developed the use of polysilicon for the gate instead of metal. This provided much better performance and was easier to manufacture. The point of all this is that between the late 1960s and mid-1970s, several radical changes were introduced in MOS integrated circuit production, and these led to the success of the 6502, Z-80, 8085, 8086, and other early processors. In the 1980s, CMOS processors took over due to their lower power consumption and better performance. ↩

5. Strangely, it's unclear what the "H" stands for in HMOS. I couldn't find anywhere that Intel expands the acronym; databooks refer to "Intel's advanced N-channel silicon gate HMOS process" or say "HMOS is a high-performance n-channel MOS process". Intel later defined CHMOS as Complementary High Speed Metal Oxide Semiconductor) (example). Motorola defined HMOS as High-density MOS (example) while other sources defined it as High-speed MOS or High-density, short channel MOS. Intel has a patent on "High density/high speed MOS process and device", so perhaps the "H" stands for both "high density" and "high speed". ↩

6. Interestingly, Intel used a 4K static RAM chip to develop each of their HMOS processes, before using the process for their microprocessors and other chips. They probably developed with the RAM chip because it has dense circuitry, but is relatively easy to design because it repeats the same memory cell over and over. Once they had all the design rules figured out, then they could create the much more complex processor. ↩

7. I scaled complete, high-resolution images of the two chips to compare and the main part of the chips is an exact match except for some trivial changes. I found a couple of places where a via was slightly moved, which is puzzling because I see no logical reason for that. The circuit was unchanged, so it's not a bug fix. One question is if there were any microcode changes. The microcode looks identical, but I didn't do a bit-by-bit comparison. ↩

8. You may have noticed that three transistors in the photo have much larger gates. These are transistors that are acting as pull-up resistors, as is typical for NMOS circuits. The larger size makes the transistors weaker, so they provide a weak pull-up current. ↩

Reverse-engineering and comparing two Game Boy audio amplifier chips

The Nintendo Game Boy contains an audio amplifier chip for sound through a speaker or headphones. In this post, I reverse-engineer this chip and compare it with the later Game Boy Color chip (reverse-engineered earlier). Unexpectedly the Game Boy Color uses an entirely different amplifier design from the original Game Boy, which may explain why the two systems sound different.

The diagram below shows the Game Boy amplifier's silicon die, with the main functional components labeled.1 The upper-left part of the chip has the two large driver transistors for the speaker output (one to pull the signal low and the other to pull the signal high). The headphone amplifier consists of two nearly-identical blocks: one for the left channel and one for the right. The circuitry for the current sources and current mirrors is shared by both headphone channels. The lower-left of the chip contains digital logic to enable either the speaker amp or the headphone amp, switching when the headphones are plugged in.

The chip with pins and key functional blocks labeled. The hi-res die photo is courtesy of John McMaster.

By examining the die closely, components such as transistors and resistors can be identified. From this, the complete circuit can be determined. In the photo above, the white lines are the chip's metal layer, connecting the components. The silicon itself appears greenish and is underneath the metal. The green squares around the outside are the pads where tiny bond wires connected the silicon die to the chip's 18 pins. Regions of the chip are treated (doped) to change the electrical properties of the silicon. The next sections explain how components are created from these different types of silicon.

NPN transistors

The amplifier chip is built from transistors known as NPN and PNP bipolar transistors, different from the low-power MOS transistors used in processors. These transistors have three connections: the emitter, the base, and the collector. The magnified photo below shows an NPN transistor from above. The slightly different tints in the silicon indicate regions that have been doped to form N and P regions, with dark lines separating the regions. The bubbly silverish areas are the metal layer of the chip on top of the silicon—these form the wires connected to the emitter, base, and collector.

An NPN transistor in the Game Boy Color amplifier chip. The collector (C), emitter (E), and base (B) are labeled, along with N and P doped silicon.

Underneath the photo is a vertical cross-section illustrating how the transistor is constructed. The emitter (E) wire is connected to N+ silicon. Below that is a P layer connected to the base contact (B). And below that is an N+ layer connected (indirectly) to the collector (C). If you look at the vertical cross-section below the 'E', you can find the N-P-N layers that form the transistor.

A different structure (below) is used for the high-current output transistors that drive the speaker. These transistors are much larger and have multiple interlocking "fingers" of the emitter and base, surrounded by the large collector. If you look back at the die photo, you can see two of these transistors filling the upper left part of the die.

A large, high-current NPN output transistor in the Game Boy Color audio amplifier chip. The collector (C), base (B), and emitter (E) are labeled.

PNP transistors

The chip also uses PNP transistors, which have an entirely different construction, as shown in the diagram below. The most obvious difference is that the PNP transistors are round.2 A PNP transistor has a small circular emitter (P-silicon), surrounded by a ring-shaped base region (N-silicon), which in turn is surrounded by the collector (P-silicon). (The emitter metal covers both the emitter and the base, but is only connected to the emitter.) These regions form a P-N-P sandwich horizontally (laterally), unlike the vertical structure of the NPN transistors. Note that although the base region physically surrounds the emitter, the metal connection to the base is further away; the base signal passes through the N region underneath the collector to reach the base region.

A PNP transistor in the Game Boy audio amplifier chip. Connections for the collector (C), emitter (E) and base (B) are labeled, along with N and P doped silicon. The base forms a ring around the emitter, and the collector forms a ring around the base.

Resistors

Resistors are an important component of analog chips. The photo below shows some long, zig-zagging resistors, formed from strips of P silicon, which appears beige in the photo. Its resistance is proportional to the length of the resistor, so large-value resistors have a zig-zag shape to fit in the available space. Because resistors are relatively large and inaccurate, chip designs try to minimize the number of resistors required. Even so, an analog chip like this one requires numerous resistors.

Some resistors in the Game Boy audio amplifier chip. In the center, two resistors in parallel provide a low resistance. The long, meandering resistors provide high resistance.

The photo below shows seven small resistors, but only the two in the middle are connected (in parallel) to the circuit. These extra resistors allow the resistance to be modified by modifying the metal layer, which is much easier than changing the silicon. (These resistors bias the output transistor, and it appears this is a critical resistance that required adjustment.)

This photo shows seven short resistors but some are not used.

Capacitors

This chip has three large capacitors, one for each amplifier. The photo below shows one of the capacitors. The capacitors are simply a large layer of metal over the underlying silicon, separated by a thin insulating oxide layer. At the top and right of the photo, you can see the connections between the metal wiring and the underlying silicon. In this chip, capacitors are used to ensure the stability of the amplifiers. Because they are large, the three capacitors are easy to spot in the chip die photo.

A capacitor on the Game Boy audio amplifier chip.

The LM380

The Game Boy amplifier chip has a design very similar to the popular LM380 power audio amplifier chip (1972), so I'll start with an overview of how the LM380 works. (See the footnote5 for details.) The LM380 has positive and negative inputs and an output that amplifies the difference between the inputs by a fixed factor of 50. This may sound like an op-amp, but the LM380 is intended as an audio amplifier and is different from an op-amp in several ways: it has a small, fixed gain, it doesn't have a negative power supply, and its internal implementation is different.

The schematic below shows the main functional blocks of the LM380. The inputs go into a differential pair circuit (blue)3. The output from the differential pair (green) goes into a single-transistor amplification stage that provides more gain. The capacitor across the amplification stage stabilizes the amplifier to prevent oscillation. Finally, the output stage (purple) produces the high-current output: power transistor Q7 pulls the output high, while Q8 and Q94 pull the output low. The feedback network controls the gain of the LM380, fixing the gain at a factor of 50. Note that unlike an op-amp, the LM380's feedback network is connected to internal points of the amplifier, not the inputs.

The LM380 audio amplifier. Diagram based on the application note.

Game Boy Audio chip: headphone amplifier

Game Boy circuit board. The audio amplifier chip is midway on the right-hand side. © Raimond Spekking / CC BY-SA 4.0 (via Wikimedia Commons).

The Game Boy amplifier chip contains three amplifiers: two identical amplifiers for the left and right headphone channels, and a more powerful mono amplifier for the speaker. The Game Boy headphone amplifiers and the speaker amplifier are somewhat different, but they are both similar to the LM380.

The schematic below shows the Game Boy headphone amplifier. Comparing it with the LM380 schematic above shows the similarities between the LM380 and the headphone amplifier, but also some differences. The input stage and feedback circuit of the LM380 are the most distinctive parts of that chip, and the headphone amplifier's circuit is essentially identical.6 The "Amplification" stage of the headphone amplifier has three transistors compared to one in the LM380, probably to produce more gain. The headphone amplifier's output stage is similar but simplified; the PNP/NPN pair that pulls the LM380 output low is replaced with a single PNP transistor. The biggest difference is the "Control" section of the headphone amplifier, which is not present in the LM380. This control circuitry powers down the headphone amplifier if headphones are not plugged in, conserving battery life.

Schematic of the Game Boy headphone amplifier that I created by reverse-engineering the die.

The photo below shows the left headphone amplifier. The output pin (lower-right, next to the part number SBG14) is driven by seven PNP transistors in parallel (top-left) and seven smaller NPN transistors in parallel (lower center). The capacitor is in the upper left, near the center. Many resistors snake around the die.

The left headphone amplifier circuit on the die. The right amplifier is a mirror image. Photo courtesy of John Mcmaster.

Game Boy Audio chip: speaker amplifier

The next schematic shows the Game Boy speaker amplifier. Unlike the two channels for headphone amplification, there is a single speaker amplifier, producing a mixture of the left and right channels. Again, the input stage and feedback are almost identical to the LM380. The output stage has only minor differences. However, the amplification stage for the speaker is completely different: it includes a four-transistor differential amplifier stage, which will provide much more amplification.7 Although this amplification stage looks very similar to the input stage at first glance, its is wired differently and uses NPN transistors.8

Schematic of the speaker amplifier in the Game Boy audio amplifier chip.

The chip provides pins for bypass capacitors to reduce the effect of power supply fluctuations.9 The headphone amplifiers have external bypass capacitors, but the speaker bypass capacitor is omitted for some reason (see the Game Boy schematic). Lack of this capacitor may contribute to the background hum that people hear in the Game Boy's sound.

Comparison with the Game Boy Color

I recently reverse-engineered the Game Boy Color's amplifier chip, so it's interesting to compare the two chips. The amplifier chips for the Game Boy and the Game Boy Color provide similar functions. Even at the die level (below), the two chips look similar. They both have power transistors in the upper-left for the speaker, control circuitry in the lower-left, and two headphone channels on the right.

Comparison of the audio amplifier chip from the Game Boy (left) and Game Boy Color (right). Photos courtesy of John McMaster.

Surprisingly, the implementations of the two chips are completely different. While the Game Boy uses LM380-style audio amplifiers, the Game Boy Color uses power op-amps with more complicated circuitry. The most important difference is that the Game Boy chip has internal feedback to control the gain, while the Game Boy Color also has an external feedback capacitor, which causes it to act as a high-pass filter. For more information, see my Game Boy Color amplifier article and schematic.

Collectors of Game Boy systems have noticed that the different versions have a very different sound (discussion). The original Game Boy has a "warm, bassy sound", while the Game Boy Color has a "thin sound" with background noise and hum. These aren't just subjective differences, but show up in the waveforms:

Graphs courtesy of Herbert Weixelbaum.

What's interesting is that we can explain much of the sound difference through the analysis of the amplifier chips. The Game Boy's output is close to a square wave, but the waveform drops somewhat due to the speaker's 100µF DC blocking capacitor (schematic). The amplifier in the Game Boy Color, on the other hand, is configured as a high-pass filter, so it outputs higher-frequency spikes, losing the bass sound.

Conclusion

The Game Boy (1989) and Game Boy Color (1998) use custom amplifier chips. By examining die photos, the circuitry can be reverse engineered. The chips are different from common amplifier chips in two main ways, which probably explains why custom chips were created. First, each chip has three amplifiers: two for headphone channels and one for the speaker. Second, to conserve power the chip has circuitry to power-down the unused amplifiers, based on whether or not headphones are plugged in. Reverse-engineering the chips also explains much of the difference in sound between the Game Boy and the Game Boy Color. The Game Boy Color's chip implements a high-pass filter, so the sound is thin and lacks the bass of the Game Boy.

I announce my latest blog posts on Twitter, so follow me @kenshirriff for future articles. I also have an RSS feed. My KiCad files for the schematic are on Github. Thanks to John McMaster for providing the chip photos; his page is here. Thanks to Herbert Weixelbaum for the sound waveforms.

Notes and references

1. The audio amplifier chip is labeled DMG-AMP, standing for "Dot Matrix Game amplifier". The part number on this 18-pin chip (made by Sharp) is IR3R40.

   

   The IR3R40 chip. Photo courtesy of John McMaster.

   Internally, the chip is labeled SBG14.

   ↩

   The die is labeled SBG14.

2. Most of the PNP transistors on this chip are round. However, when multiple PNP transistors are combined, a square structure is used instead. The square PNP transistors are larger than the square NPN transistors. The chip also has some PNP transistors with multiple collectors. Other PNP transistors have no explicit collector connection but use the substrate (ground). ↩

3. The inputs to the LM380 (or Game Boy amplifier) go into a differential pair (Q3, Q4), but this differential pair is different from the standard one used in op-amps. In particular, the emitters receive different, varying currents, and this is where the feedback happens. ↩

4. The output stages of the LM380 and the Game Boy speaker amplifier use two transistors for pull-down configured as a Szilaki pair. The combined PNP and NPN transistors act as a higher-performance PNP transistor, somewhat like a Darlington pair. ↩

5. The LM380 is explained in detail in the National Semiconductor application note, and Power Audio Amplifier IC LM380. The similar LM386 is discussed in LM386 lecture and LM386 adventures.

   I'll explain the feedback network since the Game Boy chip operates the same way. The diagram below shows how the feedback network in the LM380 operates with no input. In the upper left, the supply voltage V_S across R1 creates a current I. Transistors Q5 and Q6 form a current mirror: this forces the current through Q6 to match the current (I) through Q5. The current from Q4 to the rest of the chip must be approximately 0 (since it is strongly amplified by the rest of the chip). Putting this all together, the current through R2 (generated from the output voltage feedback) must also be I. Since R2 is half the resistance of R1, the output voltage must be half of the supply voltage. The conclusion is that the output voltage at idle will be half of the supply voltage, as desired.

   

   The LM380 with no signal applied. Schematic of the amplifier feedback network, from the LM380 datasheet.

   When inputs are applied, the feedback network acts as seen below. Suppose a voltage ΔV is applied to the positive input. Emitter-follower transistors Q3 and Q4 buffer and raise the inputs, so the same ΔV appears across resistor R3. This generates a current ΔI through the resistor. This increases the current through Q5 to I+ΔI, and because of the current mirror, the same current will flow through Q6. Adding up the various currents, the current through R2 must be I+2ΔI. Since R2 has 25 times the resistance of R3, 2ΔI corresponds to an increase in the output voltage of 50ΔV. Therefore, the input voltage is multiplied by a factor of 50. The point of this is that the feedback network fixes the gain at 50.

   

   The LM380 with a small signal applied.

   It seems to me that the best way to understand the LM380 is to consider it as constructed from an operational transresistance amplifier (OTRA), an obscure relative of the op-amp. An OTRA acts like an op-amp, except the two inputs are currents instead of voltages, and the difference between the currents is amplified to produce the output voltage. The two currents (I) into the OTRA must be approximately equal, but the input voltages can diverge (unlike an op-amp).

   

   My simplified schematic of the LM380, using an operational transresistance amplifier.

   The schematic above shows the LM380's circuitry represented as an operational transconductance amplifier and feedback network. Equating the two currents yields V_out = Vs/2 + 51V₊ - 50.5V_- or approximately V_out = Vs/2 + 50*(V₊-V_-). In other words, the output is centered at half the supply voltage, and the difference in input voltages is amplified by a factor of 50. (Nobody else describes the LM380 in this way, so it's quite possible that I am looking at it wrong, but this analysis makes sense to me.) ↩

6. I don't know the exact values of the resistances on the die, but by comparing lengths on the die I can determine ratios of resistances. Looking at resistors R48, R49, R50, and R51, I calculate that the speaker amplifier has a gain factor of 22. From resistors R2, R3, R4, and R7, I calculate that the speaker amplifier has a gain factor of 30, significantly more than the headphone amplifiers. ↩

7. Note that the overall amplification of the chip is limited by the feedback network. The idea of an op-amp is the raw gain will be something like 100,000, but the feedback reduces the gain to something reasonable like a factor of 50. The "extra" gain improves performance and reduces distortion. In other words, the additional amplification stage in the Game Boy compared to the LM380 isn't going to make it 100 times louder. ↩

8. I'm a bit puzzled by the second amplification stage for the speaker amplifier. It looks like a differential amplifier, except a differential amplifier normally has the emitters connected and this circuit has the collectors connected. ↩

9. The bypass capacitors used by the Game Boy chip (and the LM380) help reduce the impact of power supply fluctuations. It's common for chips to have a bypass capacitor between power and ground, but this bypass capacitor is a bit different. It is connected to a point in the feedback network where it is more effective than a regular bypass capacitor. ↩

A look at the die of the 8086 processor

The Intel 8086 microprocessor was introduced 42 years ago this month,1 so I made some high-res die photos of the chip to celebrate. The 8086 is one of the most influential chips ever created; it started the x86 architecture that still dominates desktop and server computing today. By looking at the chip's silicon, we can see the internal features of this chip.

The photo below shows the die of the 8086. In this photo, the chip's metal layer is visible, mostly obscuring the silicon underneath. Around the edges of the die, thin bond wires provide connections between pads on the chip and the external pins. (The power and ground pads each have two bond wires to support the higher current.) The chip was complex for its time, containing 29,000 transistors.

Die photo of the 8086, showing the metal layer. Around the edges, bond wires are connected to pads on the die. Click for a large, high-resolution image.

Looking inside the chip

To examine the die, I started with the 8086 integrated circuit below. Most integrated circuits are packaged in epoxy, so dangerous acids are necessary to dissolve the package. To avoid that, I obtained the 8086 in a ceramic package instead. Opening a ceramic package is a simple matter of tapping it along the seam with a chisel, popping the ceramic top off.

The 8086 chip, in 40-pin ceramic DIP package.

With the top removed, the silicon die is visible in the center. The die is connected to the chip's metal pins via tiny bond wires. This is a 40-pin DIP package, the standard packaging for microprocessors at the time. Note that the silicon die itself occupies a small fraction of the chip's size.

The 8086 die is visible in the middle of the integrated circuit package.

Using a metallurgical microscope, I took dozens of photos of the die and stitched them into a high-resolution image using a program called Hugin (details). The photo at the beginning of the blog post shows the metal layer of the chip, but this layer hid the silicon underneath.

Under the microscope, the 8086 part number is visible as well as the copyright date. A bond wire is connected to a pad. Part of the microcode ROM is at the top.

For the die photo below, the metal and polysilicon layers were removed, showing the underlying silicon with its 29,000 transistors.2 The labels show the main functional blocks, based on my reverse engineering. The left side of the chip contains the 16-bit datapath: the chip's registers and arithmetic circuitry. The adder and upper registers form the Bus Interface Unit that communicates with external memory, while the lower registers and the ALU form the Execution Unit that processes data. The right side of the chip has control circuitry and instruction decoding, along with the microcode ROM that controls each instruction.

Die of the 8086 microprocessor showing main functional blocks.

One feature of the 8086 was instruction prefetching, which improved performance by fetching instructions from memory before they were needed. This was implemented by the Bus Interface Unit in the upper left, which accessed external memory. The upper registers include the 8086's infamous segment registers, which provided access to a larger address space than the 64 kilobytes allowed by a 16-bit address. For each memory access, a segment register and a memory offset were added to form the final memory address. For performance, the 8086 had a separate adder for these memory address computations, rather than using the ALU. The upper registers also include six bytes of instruction prefetch buffer and the program counter.

The lower-left corner of the chip holds the Execution Unit, which performs data operations. The lower registers include the general-purpose registers and index registers such as the stack pointer. The 16-bit ALU performs arithmetic operations (addition and subtraction), Boolean logical operations, and shifts. The ALU does not implement multiplication or division; these operations are performed through a sequence of shifts and adds/subtracts, so they are relatively slow.

Microcode

One of the hardest parts of computer design is creating the control logic that tells each part of the processor what to do to carry out each instruction. In 1951, Maurice Wilkes came up with the idea of microcode: instead of building the control logic from complex logic gate circuitry, the control logic could be replaced with special code called microcode. To execute an instruction, the computer internally executes several simpler micro-instructions, which are specified by the microcode. With microcode, building the processor's control logic becomes a programming task instead of a logic design task.

Microcode was common in mainframe computers of the 1960s, but early microprocessors such as the 6502 and Z-80 didn't use microcode because early chips didn't have room to store microcode. However, later chips such as the 8086 and 68000, used microcode, taking advantage of increasing chip densities. This allowed the 8086 to implement complex instructions (such as multiplication and string copying) without making the circuitry more complex. The downside was the microcode took a large fraction of the 8086's die; the microcode is visible in the lower-right corner of the die photos.3

A section of the microcode ROM. Bits are stored by the presence or absence of transistors. The transistors are the small white rectangles above and/or below each dark rectangle. The dark rectangles are connections to the horizontal output buses in the metal layer.

The photo above shows part of the microcode ROM. Under a microscope, the contents of the microcode ROM are visible, and the bits can be read out, based on the presence or absence of transistors in each position. The ROM consists of 512 micro-instructions, each 21 bits wide. Each micro-instruction specifies movement of data between a source and destination. It also specifies a micro-operation which can be a jump, ALU operation, memory operation, microcode subroutine call, or microcode bookkeeping. The microcode is fairly efficient; a simple instruction such as increment or decrement consists of two micro-instructions, while a more complex string copy instruction is implemented in eight micro-instructions.3

History of the 8086

The path to the 8086 was not as direct and planned as you might expect. Its earliest ancestor was the Datapoint 2200, a desktop computer/terminal from 1970. The Datapoint 2200 was before the creation of the microprocessor, so it used an 8-bit processor built from a board full of individual TTL integrated circuits. Datapoint asked Intel and Texas Instruments if it would be possible to replace that board of chips with a single chip. Copying the Datapoint 2200's architecture, Texas Instruments created the TMX 1795 processor (1971) and Intel created the 8008 processor (1972). However, Datapoint rejected these processors, a fateful decision. Although Texas Instruments couldn't find a customer for the TMX 1795 processor and abandoned it, Intel decided to sell the 8008 as a product, creating the microprocessor market. Intel followed the 8008 with the improved 8080 (1974) and 8085 (1976) processors. (I've written more about early microprocessors here.)

Datapoint 2200 computer. Photo courtesy of Austin Roche.

In 1975, Intel's next big plan was the 8800 processor designed to be Intel's chief architecture for the 1980s. This processor was called a "micromainframe" because of its planned high performance. It had an entirely new instruction set designed for high-level languages such as Ada, and supported object-oriented programming and garbage collection at the hardware level. Unfortunately, this chip was too ambitious for the time and fell drastically behind schedule. It eventually launched in 1981 (as the iAPX 432) with disappointing performance, and was a commercial failure.

Because the iAPX 432 was behind schedule, Intel decided in 1976 that they needed a simple, stop-gap processor to sell until the iAPX 432 was ready. Intel rapidly designed the 8086 as a 16-bit processor somewhat compatible with the 8-bit 8080,4 released in 1978. The 8086 had its big break with the introduction of the IBM Personal Computer (PC) in 1981. By 1983, the IBM PC was the best-selling computer and became the standard for personal computers. The processor in the IBM PC was the 8088, a variant of the 8086 with an 8-bit bus. The success of the IBM PC made the 8086 architecture a standard that still persists, 42 years later.

Why did the IBM PC pick the Intel 8088 processor?7 According to Dr. David Bradley, one of the original IBM PC engineers, a key factor was the team's familiarity with Intel's development systems and processors. (They had used the Intel 8085 in the earlier IBM Datamaster desktop computer.) Another engineer, Lewis Eggebrecht, said the Motorola 68000 was a worthy competitor6 but its 16-bit data bus would significantly increase cost (as with the 8086). He also credited Intel's better support chips and development tools.5

In any case, the decision to use the 8088 processor cemented the success of the x86 family. The IBM PC AT (1984) upgraded to the compatible but more powerful 80286 processor. In 1985, the x86 line moved to 32 bits with the 80386, and then 64 bits in 2003 with AMD's Opteron architecture. The x86 architecture is still being extended with features such as AVX-512 vector operations (2016). But even though all these changes, the x86 architecture retains compatibility with the original 8086.

Transistors

The 8086 chip was built with a type of transistor called NMOS. The transistor can be considered a switch, controlling the flow of current between two regions called the source and drain. These transistors are built by doping areas of the silicon substrate with impurities to create "diffusion" regions that have different electrical properties. The transistor is activated by the gate, made of a special type of silicon called polysilicon, layered above the substrate silicon. The transistors are wired together by a metal layer on top, building the complete integrated circuit. While modern processors may have over a dozen metal layers, the 8086 had a single metal layer.

Structure of a MOSFET in the integrated circuit.

The closeup photo of the silicon below shows some of the transistors from the arithmetic-logic unit (ALU). The doped, conductive silicon has a dark purple color. The white stripes are where a polysilicon wire crossed the silicon, forming the gate of a transistor. (I count 23 transistors forming 7 gates.) The transistors have complex shapes to make the layout as efficient as possible. In addition, the transistors have different sizes to provide higher power where needed. Note that neighboring transistors can share the source or drain, causing them to be connected together. The circles are connections (called vias) between the silicon layer and the metal wiring, while the small squares are connections between the silicon layer and the polysilicon.

Closeup of some transistors in the 8086. The metal and polysilicon layers have been removed in this photo. The doped silicon has a dark purple appearance due to thin-film interference.

Conclusions

The 8086 was intended as a temporary stop-gap processor until Intel released their flagship iAPX 432 chip, and was the descendant of a processor built from a board full of TTL chips. But from these humble beginnings, the 8086's architecture (x86) unexpectedly ended up dominating desktop and server computing until the present.

Although the 8086 is a complex chip, it can be examined under a microscope down to individual transistors. I plan to analyze the 8086 in more detail in future blog posts8, so follow me on Twitter at @kenshirriff for updates. I also have an RSS feed. Here's a bonus high-resolution photo of the 8086 with the metal and polysilicon removed; click for a large version.

Die photo of the Intel 8086 processor. The metal and polysilicon have been removed to reveal the underlying silicon.

Notes and references

1. The 8086 was released on June 8, 1978. ↩

2. To expose the chip's silicon, I used Armour Etch glass etching cream to remove the silicon dioxide layer. Then I dissolved the metal using hydrochloric acid (pool acid) from the hardware store. I repeated these steps until the bare silicon remained, revealing the transistors. ↩

3. The designers of the 8086 used several techniques to keep the size of the microcode manageable. For instance, instead of implementing separate microcode routines for byte operations and word operations, they re-used the microcode and implemented control circuitry (with logic gates) to handle the different sizes. Similarly, they used the same microcode for increment and decrement instructions, with circuitry to add or subtract based on the opcode. The microcode is discussed in detail in New options from big chips and patent 4449184. ↩↩

4. The 8086 was designed to provide an upgrade path from the 8080, but the architectures had significant differences, so they were not binary compatible or even compatible at the assembly code level. Assembly code for the 8080 could be converted to 8086 assembly via a program called CONV-86, which would usually require manual cleanup afterward. Many of the early programs for the 8086 were conversions of 8080 programs. ↩

5. Eggebrecht, one of the original engineers on the IBM PC, discusses the reasons for selecting the 8088 in Interfacing to the IBM Personal Computer (1990), summarized here. He discussed why other chips were rejected: IBM microprocessors lacked good development tools, and 8-bit processors such as the 6502 or Z-80 had limited performance and would make IBM a follower of the competition. I get the impression that he would have preferred the Motorola 68000. He concludes, "The 8088 was a comfortable solution for IBM. Was it the best processor architecture available at the time? Probably not, but history seems to have been kind to the decision." ↩

6. The Motorola 68000 processor was a 32-bit processor internally, with a 16-bit bus, and is generally considered a more advanced processor than the 8086/8088. It was used in systems such as Sun workstations (1982), Silicon Graphics IRIS (1984), the Amiga (1985), and many Apple systems. Apple used the 68000 in the original Apple Macintosh (1984), upgrading to the 68030 in the Macintosh IIx (1988), and the 68040 with the Macintosh Quadra (1991). However, in 1994, Apple switched to the RISC PowerPC chip, built by an alliance of Apple, IBM, and Motorola. In 2006, Apple moved to Intel x86 processors, almost 28 years after the introduction of the 8086. Now, Apple is rumored to be switching from Intel to its own ARM-based processors. ↩

7. For more information on the development of the IBM PC, see A Personal History of the IBM PC by Dr. Bradley. ↩

8. The main reason I haven't done more analysis of the 8086 is that I etched the chip for too long while removing the metal and removed the polysilicon as well, so I couldn't photograph and study the polysilicon layer. Thus, I can't determine how the 8086 circuitry is wired together. I've ordered another 8086 chip to try again. ↩

Die analysis of the 8087 math coprocessor's fast bit shifter

Floating-point numbers are very useful for scientific programming, but early microprocessors only supported integers directly.1 Although floating-point was common in mainframes back in the 1950s and 1960s, it wasn't until 1980 that Intel introduced the 8087 floating-point coprocessor for microcomputers.2 Adding this chip to a microcomputer such as the IBM PC made floating-point operations up to 100 times faster. This was a huge benefit for applications such as AutoCAD, spreadsheets, or flight simulators.3 The downside was the 8087 chip cost hundreds of dollars.4

It's hard to implement floating-point operations so they are computed quickly and accurately. Problems can arise from overflow, rounding, transcendental operations, and numerous edge cases. Prior to the 8087, each manufacturer had their own incompatible ad hoc implementation of floating point. Intel, however, enlisted numerical analysis expert William Kahan to design accurate floating point based on rigorous principles.5 The result was the floating-point architecture of the 8087. This became the IEEE 754 standard used in almost all modern computers, so I consider the 8087 one of the most influential chips ever designed.

Die of the Intel 8087 floating point unit chip, with main functional blocks labeled. The die is 5mm×6mm. The shifter is outlined in red. Click for a larger image.

To explore how the 8087 works, I opened up an 8087 chip and took photos of the silicon die with a microscope. Containing 40,000 transistors, the 8087 pushed chip manufacturing to the limit; in comparison, the companion 8086 microprocessor only had 29,000 transistors. To make the chip possible, Intel developed new techniques. In this article, I focus on the high-speed binary shifter (outlined in red above). The shifter takes up a large fraction of the chip's area, so minimizing its area was vital to making the 8087 possible.

A floating-point number consists of a fraction (also called significand or mantissa), an exponent, and a sign bit. (These are expressed in binary, but for a base-10 analogy, the number 6.02×10²³ has 6.02 as the fraction and 23 as the exponent.) The circuitry to process the fraction is at the bottom of the die photo. From left to right, the fraction circuitry consists of a constant ROM, a shifter (highlighted), adder/subtracters, and the register stack. The exponent processing circuitry is in the middle of the chip. Above it, the microcode engine and ROM control the chip.

The shifter

The role of the shifter is to shift binary numbers left or right, a task with several critical roles in floating-point operations. When two floating-point numbers are added or subtracted, the numbers must be shifted so the binary points line up. (The binary point is like the decimal point, but for a binary number.) The 8087's transcendental instructions are built around shift and add operations, using an algorithm called CORDIC. The shifter is also used to assemble a floating-point number from 16-bit chunks read from memory.8

Since shifts are so essential to performance, the 8087 uses a "barrel shifter", which can shift a number by any number of bits in a single step.6 Intel used a two-stage shifter design that kept its size manageable while still providing high performance. The first stage shifts the value by 0 to 7 bits, while the second stage shifts by 0 to 7 bytes. In combination, the two stages shift a value by any amount from 0 to 63 bits.

The bit shifter

I'll start by describing the bit shifter, which performs a shift of 0 to 7 bit positions. The diagram below outlines the structure of the bit shifter, showing five of the inputs and outputs; the full shifter supports 68 bits.7 The concept is that by activating a particular column, the input is shifted by the desired amount. Each circle indicates a transistor that can act as a switch between an input line and an output line. The vertical select lines are used to activate the desired transistors. Each input line is connected diagonally to eight transistors, allowing it to be directed to one of eight outputs. For example, the diagram shows shift select line 3 activated, turning on the associated transistors (green). The highlighted input 20 (orange) is directed to output 23 (blue). Similarly, the other inputs are connected to the corresponding outputs, yielding a shift by 3. By activating a different shift select line, the input will be shifted by a different amount between 0 and 7 bits.

Structure of the bit shifter. By energizing a shift select line, the inputs are connected to outputs with the desired bit shift.

To explain the internal construction of the shifter, I'll start by describing the NMOS transistors used in the 8087 chip. Transistors are built by doping areas of the silicon substrate with impurities to create "diffusion" regions with different electrical properties. The transistor can be considered a switch, controlling the flow of current between two regions called the source and drain. The transistor is activated by the gate, made of a special type of silicon called polysilicon, layered above the substrate silicon. Applying voltage to the gate lets current flow between the source and drain, which is otherwise blocked. Transistors are wired together by a metal layer on top, building a complex integrated circuit.

Structure of a MOSFET as implemented in an integrated circuit.

The photo below shows a transistor in the 8087 as it appears under the microscope. Its structure matches the diagram above, although its shape is more complex. The source, gate, and drain all continue out of the photo, connected to other transistors. In addition, wiring in the metal layer is connected to the silicon at the circular vias. (The metal layer was removed with acid for this photo.)

An NMOS transistor in the 8087 chip, as seen under the microscope.

Zooming out, the diagram below shows part of the bit shifter as implemented on the chip. About 48 transistors, similar to the one above, are in this photo. The orange and yellow diagonal corresponds to one of the inputs: the orange regions show transistors connected through the silicon, while the yellow lines show connections in the metal layer. (The metal layer is used to jump over the polysilicon select lines.) The green highlight shows the polysilicon line for shift-by-three. In the center, this polysilicon gate line turns on a transistor, connecting the input to the long yellow output line, shifting the highlighted input by three positions. (The other non-highlighted inputs are shifted similarly.) Thus, this circuit implements the shifter as described at the beginning of the section. The photo shows six of the 68 inputs, so the complete shifter is much taller.

Closeup of the silicon circuitry for the bit shifter. The path of one signal is shown, as controlled by the shift-by-three control (green).

The byte shifter

The byte shifter shifts its inputs by multiples of eight bits, rather than one bit. Its design is similar to the bit shifter, except each input connects to every eighth output. For instance, input 20 connects to outputs 20, 28, 36, and so forth, shifting by bytes. As a result, the diagonal connections are steep and packed tightly, with eight lines between each switch. In the diagram below, the line for shift-by-four is selected, with the connection from input 0 to output 32 highlighted. Note the lack of wires in the right half of the diagram because any bit shifted from beyond input 0 becomes zeroed. For instance, when shifting left by 4 bytes, low-order bits 31 and below become zero.

The structure of the byte shifter.

The die photo below shows part of the bit shifter and the byte shifter. This photo is zoomed-out to show the overall structure; individual transistors are barely visible. The bit shifter's area is densely packed with transistors, but the byte shifter consists mostly of wiring, with columns of transistors in between.9 Also note that the byte shifter is partially empty at the top, filling in with more wiring towards the bottom. The wiring layout isn't as orderly as in the diagram above, but is arranged for maximum efficiency.

The bit shifter and byte shifter in the 8087 chip.

The bidirectional drivers

So far, the bit and byte shifters only shift bits in one direction.11 However, bits need to be shifted in both directions. One of the key innovations of the 8087's shifter is its bidirectional design: data can be passed through the shifter in reverse to shift bits the opposite direction. This is possible because the shifter is constructed with pass transistors, not logic gates. Pass transistor logic uses transistors as switches that pass or block signals, so signals can travel in either direction. (In contrast, regular logic gates such as NOR gates have specific inputs and outputs.)

Special driver circuitry on the left and right sides of the shifter allows the shifter to operate in either direction. To send data from left to right, the left-hand driver reads data from the fraction bus and sends it into the shifter. The right-hand driver circuit receives this shifted data, latches it temporarily, and then writes it back to the fraction bus. To send data in the opposite direction, the driver circuits reverse roles: the right-hand driver sends data from the fraction bus into the shifter while the left-hand circuit receives the shifted data.10

The multiplexer / decoders

The final feature I'll describe is the circuitry that controlled the shifter. Three different sources control how many positions to shift. First, the microcode engine can specify the number directly. Second, the number can come from a loop counter; this is used as part of the CORDIC transcendental algorithms. Finally, the number can come from a leading zero counter; this allows numbers to be normalized by eliminating leading zeroes through shifting. Each of these sources provides a 6-bit shift number; the six multiplexers each select one bit from the desired source.12

The multiplexer/decoder circuitry.

Next, decoders activate one of eight bit-shift lines and one of eight byte-shift lines to control the appropriate pass transistors in the shifter. (Each decoder takes a 3-bit input and activates one of 8 output lines.) Because each decoder line controls a large column of pass transistors in the shifter, the decoder uses relatively large power transistors.13 At the bottom, the 16 control lines exit the circuitry.

Conclusion

The 8087 is a complex chip with many functional units. However, by examining the die closely, the circuits of the 8087 can be understood. This blog post described the 8087's fast barrel shifter, capable of shifting by up to 63 bits at a time.14 Intel received a patent on this innovative programmable bidirectional shifter.

The shifter was just one of the features that let the 8087 compute floating-point operations much faster than the 8086 processor could. The 8087 operates on 80 bits at a time instead of 16. The 8087 has 80-bit wide registers, reducing memory accesses during computations. The 8087 stores constants for transcendental operations in a ROM, also avoiding memory accesses. Hardware in the 8087 checked for NaN, underflow, overflow, etc., avoiding slow checks in code. The 8087's hardware made multiplication and division faster. I don't know the relative contributions of these factors, but in combination, they improved floating-point performance dramatically, by up to a factor of 100.

The benefits of floating point hardware are so great that Intel started integrating the floating-point unit into the processor with the 80486 (1989). Now, most processors include a floating-point unit and the expense of purchasing a separate floating-point coprocessor is a thing of the past.

Die photo of the 8087 with the metal layer removed. The colors are due to some of the oxide layer remaining. Click for a larger image.

For more information on the 8087, see my other articles: Extracting ROM constants from the 8087, The two-bit-per-transistor ROM and The substrate bias generator. I announce my latest blog posts on Twitter, so follow me @kenshirriff for future articles. I also have an RSS feed.

Notes and references

1. Even without floating-point hardware, early microcomputers could perform floating-point operations. The operations would be broken down into many integer operations, manipulating the exponent and fraction as necessary. In other words, floating-point support didn't make floating-point operations possible, it just made them much faster. (Another way to represent non-integers is fixed-point numbers, which have a fixed number of digits after the decimal. Fixed-point numbers are simpler than floating-point, but can't represent as large a range.) ↩

2. The 8087 wasn't the first floating-point chip. National Semiconductor introduced the MM57109 Number Cruncher Unit (that is the real name) in 1977. It was essentially a repackaged 12-digit scientific calculator chip, operating on binary-coded decimal values with values entered in Reverse Polish Notation. This chip was absurdly slow; a tangent, for instance, could take over a second. AMD introduced their floating-point chip, the Am9511, in 1978 (details). This chip supported 32-bit floating-point numbers and took up to 1.4 milliseconds for a tangent. (Intel ended up licensing the Am9511 from AMD and selling it as the 8231.) A 10-MHz 8087 in comparison, could do a tangent in 54 microseconds, operating on an 80-bit floating-point number. Thus, the 8087's performance and accuracy were far superior to previous chips. ↩

3. The original IBM PC (1981) had an empty socket on its motherboard for adding an 8087 coprocessor. a huge benefit for applications such as AutoCAD. The large empty socket is visible in the upper left below, above the 8088 microprocessor. A list of applications with support for the 8087 is here.

   

   Motherboard of the original IBM PC (1981). Photo from Wikimedia, CC BY-SA 3.0.

    ↩

4. I couldn't find the original price for the 8087, but it was expensive. At first, Intel only sold the 8087 as a matched and tested pair with an 8088, due to timing flakiness with the 8087. By 1982, Intel dropped the price of the 8087 to $230, equivalent to about $500 in current dollars. Compared to today's open-source world, it seems strange that customers also had to pay for software support: using the 8087 with the BASIC language cost another $150, while Intel's 8087 development library was $1250. ↩

5. The designers of the 8087 commented on the guidance offered by Professor Kahan: "We did not do as well as he wanted, but we did better than he expected." Kahan later received a Turing Award for his work on floating point.  ↩

6. Processors often include a variety of shift instructions, including rotate operations that shift bits from one end of the word to the other. The 8087 only performs straight shifts, not rotates. ↩

7. The shifter handles the 8087's 64-bit fraction, along with three extra bits for rounding accuracy, so it supports 67 bits. Unless I miscounted, the shifter also has an extra bit in the most significant position, making it 68 bits wide. ↩

8. Multiplication and division make heavy use of shifting; multiplication is performed by shifts and adds, while division uses shifts and subtracts. However, the 8087 does not use the general-purpose shifter for these operations, but has specialized shifters optimized for these operations. ↩

9. In order to pack the wiring as close together as possible, the shifter alternated wires of diffused silicon and wires of polysilicon. In the photo below, the diffused silicon wires are pinkish, while the polysilicon is yellowish. The 8087 was built with Intel's HMOS III process, which required a 4µm spacing for polysilicon and 5µm for diffusion, probably due to the resolution of the photolithography practice. However, the spacing between a diffusion line and a polysilicon line could be much smaller, probably because they were created with separate masks and were on separate layers. Thus, alternating diffusion and polysilicon lines could be packed together tightly, saving space.

   ↩

   Wiring in the byte shifter consists of alternating, tightly-packed silicon and polysilicon lines. The large rectangles on either side are pairs of transistors, controlled by vertical polysilicon lines.

10. The driver circuitry has a few subtleties. Instead of sending data directly into the shifter, bits are transferred in two steps. First, the shifter lines are pre-charged to a high level. Then, any 1-bit inputs cause the corresponding shifter lines to be pulled low. In other words, the shifter lines are active-low, with a low voltage representing a 1. Since any unused outputs keep their high voltage (a 0 bit), 0 bits are shifted into low bit positions automatically. I think the pre-charge technique also was a better match for NMOS circuitry, which was better at pulling a signal low than pulling it high, so pre-charging the lines helped performance, especially given their relatively high capacitance. The latch between the shifter and the fraction bus prevents an unwanted cycle with the shifted data immediately flowing back into the shifter and getting re-shifted. ↩

11. This footnote will clarify the physical shift versus the logical shift. On the die, the fraction circuitry is arranged with the most-significant bit at the bottom. Passing data through the shifter from left to right shifts bits physically downward. This corresponds to a left-shift of a binary number, moving bits to a higher position. In the opposite direction, passing data through the shifter from right to left performs a right-shift of the data. ↩

12. The left/right direction also needs to be selected from one of the three shift sources, but I haven't located the circuitry for that yet. ↩

13. Each decoder essentially consists of eight NOR gates: seven will be pulled low and only the one with all inputs low will be high. However, it's not implemented as a straightforward logic gate. Instead, all outputs are precharged high, and then the seven undesired outputs are pulled low. This sort of dynamic precharge logic is still used in modern circuits; see the book Synchronous Precharge Logic. The multiplexers are also implemented with precharge logic. ↩

14. Intel's x86 processors didn't include a barrel shifter until the 80386 (1985), which provided a 64-bit barrel shifter. Before that, the 8086 and descendants shifted one bit at a time, so shifts by many bit positions were much slower. ↩