Floating-Point 101

Remember that this is not rocket science, and thus minor deviations will occur in the formulas since, for example, a single-precision float is only 32 bits in size . For higher precision, 64-bit double-precision or 80-bit double extended-precision floating-point should be used instead. These floating-point numbers are based upon a similarity to the IEEE 754 standards specification. Unfortunately the 80-bit version is only available in a scalar form on the 80x86's FPU and the 64-bit packed double-precision is only available on the SSE2 processor.

image from book
Figure 3-7: Floating-point bit configurations

Most programmers only know a floating-point value from using a declaration such as float, double, real4, or real8, etc. They know that there is a sign bit that if set indicates the value is negative and if clear indicates the value is positive. That is typically about the limit of the programmer's knowledge, as floating-point is typically treated as a black box and they typically do not need to dig into it further.

For this book you will be required to understand a little bit more and that will be discussed in Chapter 8.



32.64-Bit 80X86 Assembly Language Architecture
32/64-Bit 80x86 Assembly Language Architecture
ISBN: 1598220020
EAN: 2147483647
Year: 2003
Pages: 191

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