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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
422
c N A ~ ~t ~!i ~;z 8:
Floating-Point Representation, Algorithms, and Implementations
8o4,~3
Guard Bits and Rounding
Because of the right shift of one of the operands during the alignment step, the
result of the addition/subtraction may have more fractional bits than the operands.
Moreover, during the normalization a left shift of the result might be performed.
Finally, during the rounding step these additional bits are disposed of and the
result has a significand of f fractional bits.
To get the correct final result after the normalization and rounding, a possi-
bility is to obtain all the fractional bits of the addition. However, ...
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Publisher Resources

ISBN: 9781558607989