FloatingPointRepresentation

Thus the 10 table 3 what is that precision ieee

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Unformatted text preview: hat is that Precision? IEEE Single = 2;23 1:2 10;7 IEEE Double = 2;52 1:1 10;16 IEEE Extended = 2;63 1:1 10;19 exact machine precision, together with its approximate decimal equivalent, is shown in Table 3 for each of the IEEE single, double and extended formats. The fraction of a single precision normalized number has exactly 23 bits of accuracy, i.e. the signi cand has 24 bits of accuracy counting the hidden bit. This corresponds to approximately 7 decimal digits of accuracy. In double precision, the fraction has exactly 52 bits of accuracy, i.e. the signi cand has 53 bits of accuracy counting the hidden bit. This corresponds to approximately 16 decimal digits of accuracy. In extended precision, the signi cand has exactly 64 bits of accuracy, and this corresponds to approximately 19 decimal digits of accuracy. So, for example, the single precision representation for the number is approximately 3:141592, while the double precision representation is approximately 3:141592653589793. To see exactly what the...
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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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