Understanding Gates

The fundamental building blocks of any microprocessor are gates.  Gates are collections of transistors that electrically mimic a particular logic function.   For example, a 2-input AND gate will take two input signals and output a 1 only if the two inputs are both 1s.   An XOR gate will output a 1 only if the two inputs are different.   A NOR gate will output a 1 only if all inputs are 0s.

Combinations of these gates are used to implement everything in a microprocessor, including functional units like adders, multipliers, etc.


Here, we have a 1-bit carry adder implemented using logic gates.  It will add any two 1-bit numbers and produce a result.

However, there are many ways to implement each gate, as long as the behavior of the gate remains the same independent of the implementation.   It’s just like doing a math problem; there are multiple ways to find the solution - some just may be more efficient than others.

A very popular way of designing gate logic is using what is known as static CMOS.   Static CMOS designs are relatively easy to implement and there are tons of libraries available for automated (e.g. computer driven) static CMOS design.   There are a couple of problems with static CMOS design:
  1. Static CMOS circuits aren’t the fastest circuits possible, which is why they aren’t used in things like Intel’s double-pumped ALUs where high clock speeds are necessary.
  2. Static CMOS designs use quite a few transistors.   For each m-input gate, you need 2 * m transistors (m PMOS and m NMOS transistors), which for high fan-in gates (gates with lots of inputs), it drives transistor counts up considerably.   As is the case with any heavily SIMD architecture, high fan-in gates are commonplace.
Let’s take a look at a static CMOS NOR gate:

First thing to note is that for every NMOS transistor we add, there’s a complementary PMOS transistor.   With each additional input to the NOR gate, we have to add two transistors - one PMOS and one NMOS - hence the 2*m transistors from before.

There’s another problem here - the NOR gate isn’t clocked.   Normally, large collections of gates are assembled and put behind an element called a latch, which is clocked.   One type of large collection would be all of the circuitry used for a pipeline stage.   This isn’t really a problem for static CMOS gates, as it greatly simplifies the distribution of clocks to the chip (since you don’t have to route a clock signal to every gate, just every latch, and there are far more general gates than there are latches).

Designing and implementing static CMOS gates are extremely easy.   Hardware Description Languages (HDLs), programming languages in which chips are “written” have widespread static CMOS libraries, meaning that a chip designer can focus on writing code to crank out a chip without having to hand design its circuits.   But as success is usually proportional to difficulty, static CMOS designs aren’t the fastest things in the world.   Things like Intel’s 7.2GHz ALUs aren’t designed using static CMOS logic, neither is Cell.

Manufacturing, Die Size and Clock Speed Cell's Dynamic Logic
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  • Poser - Thursday, March 17, 2005 - link

    There were moments while reading this article that I expected there to be a "Test Yourself" quiz at the end of the chapter ... er, article. Which isn't to say that articles like this are too textbookish, it's to say that they're wonderfully educational. And very, very cool for being so.

    I'm half joking when I say this (but only half) -- a real "test" at the end of the article would be fun. I could see if I really understood what I read, and even get to compare my score to the rest of the, uhm, class.
  • drinkmorejava - Thursday, March 17, 2005 - link

    very nice, how long did it take to write that thing?
  • Eug - Thursday, March 17, 2005 - link

    #42,

    That's an interesting page, cuz everyone on OS X already knows that Word is slow on the Mac. It brings us back to the original statement that some ported software may be problematic performance-wise.

    And the generic comment on the Mac side about Premiere is, well... use Final Cut Pro. :) Here is a test that seems a bit more useful, since it tests Cinema4D and After Effects, two apps that people use on the Mac and both of which are reasonably well optimized:

    http://digitalvideoediting.com/articles/viewarticl...

    That's a good point about the memory scaling though. The IMC with AMD's chips is a definite advantage. I'm sure the G5 970MP dual-core won't get an IMC either.

    Anyways, as far as this article is concerned, the G5 is kinda irrelevant. The interesting part for Apple in Cell is the PPE unit. It's also interesting that Anand says the original SPE was supposed to be VMX/Altivec. But the current SPE is not Altivec so it's less applicable for Apple, at least in the near term.

    It would be interesting to know how fast a dual-core 3 GHz PPE would be in general laptop-type code, and how much power it would put out.
  • MDme - Thursday, March 17, 2005 - link

    #39, 40, 41

    http://www.pcworld.com/news/article/0,aid,112749,p...

    remember that the athlon 64 chips scale better at higher clock speeds due to the mem controller scaling as well.

  • Eug - Thursday, March 17, 2005 - link

    Well, one example is Cinebench 2003:

    The dual G5 2.0 GHz is about the same speed as a dual 0pteron 246 2.0 GHz, with a score at around 500ish.

    http://www.aceshardware.com/read.jsp?id=60000284

    BTW, a dual G5 2.5 GHz scores 633.
  • suryad - Thursday, March 17, 2005 - link

    Hmm that is interesting what you say Eug. I see your point do you have any links on straight comparos between an FX and a top of the line Mac? Or from personal experience folding and such...
  • Eug - Thursday, March 17, 2005 - link

    #38. It's a mistake to say an AMD FX 55 smokes a dual G5 2.5. For instance, if you like scientific dual-threaded stuff, the G5 does very well. However, the AMD FX 55 IS faster than a single G5 2.5. It's got a slight edge clock-for-clock, and it's clocked slightly higher too.

    The real problem is when you have stuff built for x86 ported over to PPC. It just isn't great on the Mac side performance-wise in that situation. And Macs aren't tweaked for gaming either. The AMD is going to smoke the Mac in Doom 3 of course.

    I think with the performance advantage of the Opteron, I'd put a single G5 2.5 in the range of performance of a single Opteron 2.2-2.4 GHz, depending on the app. The real interesting part though will be the coming quarter, when the new G5s are released. They should get a significant clock speed bump (20%?) and information on dual-core G5s are already out there (like with AMD and their dual-core Athlons). They also get a cache boost. Right now they only have 512 KB, but are expected to get 1 MB L2.
  • suryad - Thursday, March 17, 2005 - link

    Well scrotemaninov I am not disputing that the POWER architecture by IBM is brilliantly done. IBM is definitely one of those companies churning out brilliant and elegant technology always in the background.

    But my problem with the POWER technology is from what I understand very limitedly, is that the POWER processors in the Mac machines are a derivative of that architecture right? Why the heck are they so damn slow then?

    I mean you can buy an AMD FX 55 based on the crappy legacy x86 arch and it smokes the dual 2.5 GHz Macs easily!! Is it cause of the OS? Because so far from what I have seen, if the Macs are any indication of the performance capabilities of the POWER architecture, the Cell will not be a big hit.

    I did read though at www.aceshardware.com benchmark reviews of the POWER5 architecture with some insane number of cores if I recall correctly and the benchmarks were of the charts. They are definitely not what the Macs have installed in them...
  • scrotemaninov - Thursday, March 17, 2005 - link

    #35: different approaches to solving the same problem.

    Intel came up with x86 a long time ago and it's complete rubbish but they maintain it for backwards compatibility (here's an argument for Open Source Software if ever there was one...). They have huge amounts of logic to effectively translate x86 into RISC instructions - look at the L1I Trace Cache in the P4 for example.

    IBM aren't bound by the same constraints - their PowerPC ISA is really quite nice and so there's no where near the same amount of pain suffered trying to deal with the same problem. It does seem however, that IBM are almost at the point that Intel want to be in 10 years time...
  • Verdant - Thursday, March 17, 2005 - link

    here is a question...

    it mentions (or alludes) in the article that having no cache means that knowing exactly when an instruction would be executed is possible, is the memory interface therefore a strict "real time system" ?

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