Introduction

Introduction Why 64-Bit Computing? The question of why we need 64-bit computing is often asked but rarely answered in a satisfactory manner. There are good reasons for the confusion surrounding the question. That is why first of all; let's look through the list of users who need 64 addressing and 64-bit calculations today: • Users of CAD, designing systems, simulators do need RAM over 4 GB. Although there are ways to avoid this limitation (for example, Intel PAE), it impacts the performance. Thus, the Xeon processors support the 36bit addressing mode where they can address up to 64GB RAM. The idea of this support is that the RAM is divided into segments, and an address consists of the numbers of segment and locations inside the segment. This approach causes almost 30% performance loss in operations with memory. Besides, programming is much simpler and more convenient for a flat memory model in the 64bit address space - due to the large address space a location has a simple address processed at one pass. A lot of design offices use quite expensive workstations on the RISC processors where the 64bit addressing and large memory sizes are used for a long time already. • Users of data bases. Any big company has a huge data base, and extension of the maximum memory size and possibility to address data directly in the data base is very costly. Although in the special modes the 32bit architecture IA32 can address up to 64GB memory, a transition to the flat memory model in the 64bit space is much more advantageous in terms of speed and ease of programming. • Scientific calculations. Memory size, a flat memory model and no limitation for processed data are the key factors here. Besides, some algorithms in the 64bit representation have a much simpler form. • Cryptography and safety ensuring applications get a great benefit from 64bit integer calculations. What is 64-bit computing? The labels "16-bit," "32-bit" or "64-bit," when applied to a microprocessor, characterize the processor's data stream. Although you may have heard the term "64-bit code," this designates code that operates on 64-bit data. In more specific terms, the labels "64-bit," 32-bit," etc. designate the number of bits that each of the processor's general-purpose registers (GPRs) can hold. So when someone uses the term "64-bit processor," what they mean is "a processor with GPRs that store 64-bit numbers." And in the same vein, a "64-bit instruction" is an instruction that operates on 64-bit numbers. In the diagram above black boxes are code, white boxes are data, and gray boxes are results. The instruction and code "sizes" are not to be taken literally, since they're intended to convey a general feel for what it means to "widen" a processor from 32 bits to 64 bits. Not all the data either in memory, the cache, or the registers is 64-bit data. Rather, the data sizes are mixed, with 64 bits being the widest. Note that in the 64-bit CPU pictured above, the width of the code stream has not changed; the same-sized opcode could theoretically represent an instruction that operates on 32-bit numbers or an instruction that operates on 64-bit numbers, depending on what the opcode's default data size is. On the other hand, the width of the data stream has doubled. In order to accommodate the wider data stream, the sizes of the processor's registers and the sizes of the internal data paths that feed those registers must be doubled. Now let's take a look at two programming models, one for a 32-bit processor and another for a 64-bit The registers in the 64-bit CPU pictured above are twice as wide as those in the 32- bit CPU, but the size of the instruction register (IR) that holds the currently executing instruction is the same in both processors. Again, the data stream has doubled in size, but the instruction stream has not. Finally, the program counter (PC) has also doubled in size. For the simple processor pictured above, the two types of data that it can process are integer data and address data. Ultimately, addresses are really just integers that designate a memory address, so address data is just a special type of integer data. Hence, both data types are stored in the GPRs and both integer and address calculations are done by the ALU. Many modern processors support two additional data types: floating-point data and vector data. Each of these two data types has its own set of registers and its own execution unit(s). The following table compares all four data types in 32-bit and 64- bit processors: Data Type Register Type Execution Unit x86 width x86-64 width Integer GPR ALU 32 64 Address GPR ALU OR AGU 32 64 Floating Point* FPR FPU 64 64 Vector VR VPU 128 128 *x87 uses 80-bit registers to do double-precision floating-point. The floats themselves are 64-bit, but the processor converts them to an internal, 80-bit format for increased precision when doing computations. From the table above that the difference the move to 64 bits makes is in the integer and address hardware. The floating-point and vector hardware stays the same. Now that we know what 64-bit computing is, let's take a look at the benefits of increased integer and data sizes. Dynamic range The main thing that a wider integer gives you is increased dynamic range. In the base-10 number system to which we're all accustomed, you can represent a maximum of ten integers (0 to 9) with a single digit. This is because base-10 has ten different symbols with which to represent numbers. To represent more than ten integers you need to add another digit, using a combination of two symbols chosen from among the set of ten to represent any one of 100 integers (00 to 99). The general formula that you can use to compute the number of integers (dynamic range, or DR) that you can represent with an n-digit base-ten number is: DR = 10n So a 1-digit number gives you 101 = 10 possible integers, a 2-digit number 102 = 100 integers, a 3-digit number 103 = 1000 integers, and so on. The base-2, or "binary," number system that computers use has only two symbols with which to represent integers: 0 and 1. Thus, a single-digit binary number allows you to represent only two integers, 0 and 1. With a two-digit (or "2-bit") binary, you can represent four integers by combining the two symbols (0 and 1) in any of the following four ways: 00 = 0 01 = 1 10 = 2 11 = 3 Similarly, a 3-bit binary number gives you eight possible combinations, which you can use to represent eight different integers. As you increase the number of bits, you increase the number of integers you can represent. In general, n bits will allow you to represent 2n integers in binary. So a 4-bit binary number can represent 24 or 16 integers, an 8-bit number gives you 28=256 integers, and so on. So in moving from a 32-bit GPR to a 64-bit GPR, the range of integers that a processor can manipulate goes from 232 = 4.3e9 to 264 = 1.8e19. The dynamic range, then, increases by a factor of 4.3 billion. Thus a 64-bit integer can represent a much larger range of numbers than a 32-bit integer. The benefits of increased dynamic range, Or, how the existing 64-bit computing market uses 64-bit integers? Since addresses are just special-purpose integers, an ALU and register combination that can handle more possible integer values can also handle that many more possible addresses. With all the recent press coverage that 64-bit architectures have garnered, it's fairly common knowledge that a 32-bit processor can address at most 4GB of memory. (Remember our 232 = 4.3 billion number? That 4.3 billion bytes is about 4GB.) A 64-bit architecture could theoretically, by contrast, address up to 18 million terabytes. So, what do you do with over 4GB of memory? Well, caching a very large database in it is a start. Back-end servers for mammoth databases are one place where 64 bits have long been a requirement, so it's no surprise to see upcoming 64-bit offerings billed as capable database platforms. On the media and content creation side of things, folks who work with very large 2D image files also appreciate the extra RAM. And a related, much interesting application domain where large amounts of memory come in handy is in simulation and modeling. Under this heading you could put various CAD tools and 3D rendering programs, as well as things like weather and scientific simulations, and even real- time 3D games. Though the current crop of 3D games wouldn't benefit from greater than 4GB of RAM, it is quite possible that we'll see a game that benefits from greater than 4GB RAM within the next five years. Some applications, mostly in the realm of scientific computing (MATLAB, Mathematica, MAPLE, etc.) and simulations, require 64-bit integers because they work with numbers outside the dynamic range of 32-bit integers. When the result of a calculation exceeds the range of possible integer values, you get a situation called either overflow (i.e. the result was greater than the highest positive integer) or underflow (i.e.

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