FloatingPointRepresentation

One question which then arises is what about 1 it

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Unformatted text preview: e question which then arises is: what about ;1? It turns out to be convenient to have representations for ;1 as well as 1 and ;0 as well as 0. We will give more details later, but note for now that ;0 and 0 are two di erent representations for the same value zero, while ;1 and 1 represent two very di erent numbers. Another special number is NaN, which stands for \Not a Number" and is consequently not really a number at all, but an error pattern. This too will be discussed further later. All of these special numbers, as well as some other special numbers called subnormal numbers, are represented through the use of a special bit pattern in the exponent eld. This slightly reduces the exponent range, but this is quite acceptable since the range is so large. There are three standard types in IEEE oating point arithmetic: single precision, double precision and extended precision. Single precision numbers require a 32-bit word and their representations are summarized in Table 1. Let us discuss Table 1 in some detai...
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This note was uploaded on 02/12/2014 for the course MATH 4800 taught by Professor Lie during the Spring '09 term at Rensselaer Polytechnic Institute.

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