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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 Multiplication
435
8
.~<,,~ ~xr %~..
Floating-Point Multiplication
We now consider the algorithm and implementations for floating-point multi-
plication. The algorithm is given in generic terms, whereas the implementations
are geared to the IEEE standard.
Let x and y be the operands represented by (M], Ex) and (My,
Ey),
respec-
tively. The significands are signed and normalized, and the result
z--xxy
8.53
is represented by
(M z, Ez),
where M z is also signed and normalized. The high-
level description of this operation is composed of the following four steps:
1. Multiply significands and add exponents.
M z -- M x x
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Publisher Resources

ISBN: 9781558607989