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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
26 e x ApT E R I Review of Basic Number Representations and Arithmetic Algorithms
1.4
Range Extension and Arithmetic Shifts
We now present algorithms for range extension and arithmetic shifts for signed in-
tegers represented in the radix-2 system. The generalization to radix-r is straight-
forward. These operations are useful in the implementation of multiplication and
division.
1.4,'J
Range Extension
The range extension algorithm is performed when it is necessary to represent
the value x by a digit-vector of m digits, given its representation by a vector of n
digits (m > n). That is,
z =x 1.59
and
Z -- (Zm_l,
Zm_2,...
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Publisher Resources

ISBN: 9781558607989