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Digital Arithmetic
book

Digital Arithmetic

by Miloš D. Ercegovac, Tomás Lang
September 2003
Intermediate to advanced content levelIntermediate to advanced
709 pages
26h 51m
English
Morgan Kaufmann
Content preview from Digital Arithmetic
Roundoff Modes and Error Analysis 407
8o~!~ 10
Consequently, for B integer we obtain
1
B <-(2 e-2)-2 e-l-1 8.21
-2
For instance, for e -- 8 we can make B -- 127 and
E/3 -- E + 127 8.22
for a symmetric exponent range of- 127 < E < 127. Note that the maximum
value of Et3 is 255, so that this value can be used to represent E -- 128 (nonsym-
metric range) or as a singularity condition.
Special Values
These are values that are not representable in the floating-point system, but are
useful. Two examples, which are included in the IEEE Standard presented later,
are NAN (not a number) and infinity (positive and negative). For instance, ...
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Publisher Resources

ISBN: 9781558607989