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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
Implementations of the Division Algorithm
269
.
The quotient-digit selection has as arguments the truncated carry-save
shifted residual ~" and the truncated divisor d" (this is in contrast to the
radix-2 case, in which the selection is independent of the divisor). As
presented in detail in Section 5.5, the selection is described in terms of
selection constants m k
(i)
so that
qj+l - k if mk(i) < ~ < mk+l(i) k ~ {-2, -1, 0,1, 2}
where
A A
9 i --
16 d and d is the divisor truncated to the fourth fractional bit.
Sincel/2<d < 1, weget8<i < 15
9 ~" is 4w[j] in carry-save form and truncated to the fourth fractional bit.
Its range ...
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Publisher Resources

ISBN: 9781558607989