October 2006
Intermediate to advanced
544 pages
20h 23m
English
Content preview from Digital Systems: Principles and Design
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47Binary Arithmetic and Twos Complement Arithmetic
Take twos complement
X = 0000 0000 0001 0000
Step B: Y = 1111 1011 1111 1001. It is a negative number as msb of Y = 1
Take twos complement
Y = 0000 0100 000 0111
Step C: Instead of multiplying X and Y, let us multiply Y and X because X has a
smaller number of significant bits (= 5 only),
Multiplicand = 0000 0100 0000 0111
Multiplier = 0000 0000 0001 0000
= xxxx xxxx xxx1 0000 (considering up to significant bits only).
Step 1: P0 = x x x x xxxx xxxx xxxx 0000 0100 0000 0111
Shift left four times (as multiplier is 2
4
), an intelligent move to reduce the number of
steps in multiplication.
Step 2:
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