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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
MSDF: Online Arithmetic
527
and propagated to the left by one position due to the term 2w[j]. For residuals
formed using a [4:2] adder, the error in cycle p + 1 (after left shift) affects bits
in positions p - 2, p - 1, p (Figure 9.17(b)). After cycles p + 1, ..., p + h are
performed, the truncation error has affected all bit positions up to and including
bit position p - 2h + 8 (in the last ~ cycles the input digits are 0 and the error
propagation is caused by the left shift of the residual). To have a valid selection
using an estimate of t fractional bits,
p - 2h + 8 > t 9.87
Since p + h = n + 8, we obtain ...
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Publisher Resources

ISBN: 9781558607989