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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
120
CHAPTER 2
Two-Operand Addition
2.19
2.20
2.21
2.22
2.23
2.24
Section 2.1. The expressions used there are
Pi
-- xi
(~ Yi, gi -- xiYi,
Ci+I ---
gi + pici,
$i -- Ci
(~ Pi
Ling defines a new "carry" function hi -- tTi+ 1
+ tTi,
resulting in the following
adder expressions:
ti
= xi +
Yi, gi = xiYi, hi -- gi + ti-lhi-1,
$i --
ti E]~ hi + giti-lhi-1
(a)
(b)
Show that Ling's expressions produce the correct sum.
Consider the expressions for a group of four bits and show that Ling's
approach is more efficient than the conventional one with respect to the
number of gates and fanin.
Prefix Adder
The prefix adder shown in Figure 2.18 ...
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Publisher Resources

ISBN: 9781558607989