In this chapter we consider algorithms and implementations of multiplication of
signed integers in constant-radix representation (sign-and-magnitude and two's
complement). These units are used for fixed-point multiplication (applying ap-
propriate scaling factors) and are part of a floating-point unit, as discussed in
Chapter 8.
The multiplication operation is
p--x xy
4.1
where x (multiplicand), y (multiplier), and p (product) are signed integers. High-
level descriptions of the algorithms for sign-and-magnitude and two's comple-
ment are as follows:
Sign-and-magnitude: Each operand is represented by a sign,
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