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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
402
c H A ~.~,T E ~~ ~8
Floating-Point Representation, Algorithms, and Implementations
Significand
0.100
0.101
0.110 I
0.111
Denormals
I,,,I,,,I
I'''1'''1
1 1
0 "g a"
1 1 1
[A, B] -- negative floating-point numbers (normalized)
[D, E] -- positive floating-point numbers (normalized)
(B, b] & [d, D) -- denormals
C -- zero
> E -- positive overflow
< A -- negative overflow
(B, C)- negative underflow (normalized)
(C, D) -- positive underflow (normalized)
(a)
I I I I I I I "- "-
1
1 2
Exponent -2 -1 0 1
(b)
F ! G U R E S.2 (a) Regions in floating-point representation. (b) Example for m -- f = 3, r -- 2,
and-2 <
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Publisher Resources

ISBN: 9781558607989