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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
Floating-Point Division and Square Root 451
8~i 6
Floating-Point Division and Square Root
We now consider algorithms and implementations for floating-point division and
square root. The algorithms are given in generic terms, while implementations
are determined by the IEEE standard.
Division: Algorithm and Basic Implementation
The operands are x and d, represented by
(M i, Ex)
and (M~, Ed), with M]
and M~ signed and normalized. The result
q = x/d
8.76
is represented by
(Mq, Eq ),
with
Mq
also signed and normalized. The high-level
description of the floating-point division algorithm is composed of the following
steps:
1. Divide significands ...
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Publisher Resources

ISBN: 9781558607989