September 2003
Intermediate to advanced
709 pages
26h 51m
English
Content preview from Digital Arithmetic
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174 c ~ :~ F~ ~ r r ::2 Multioperand Addition
3.23
3.24
3.25
3.26
Determine the critical path in each of the schemes shown in Figures 3.21 and 3.27
using the following delay models for FA and HA modules:
tFA(a,b
~ s) = 4r
tFA(Cin "---> S) --- 2T
tFA(a, b --+ Cout) = 37:
tFA(Cin ~ Cout) -- 2~
tHA(a, b --+ s) = 2~
tHA(a, b --+ Cout) = 1,:
where r
= t2-NAND.
Design a network consisting of full-adders and half-adders to compute
z = a - 3b + 5c
where a, b, c are integers in the range [-4, 3], represented in the two's comple-
ment system.
(a) What is the least number of bits necessary to represent z?
(b) Show the bit-matrix ...
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