September 2003
Intermediate to advanced
709 pages
26h 51m
English
Content preview from Digital Arithmetic
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Reduction 149
Finally, q -- qA + q~ so that
q o -- qBo 9 qAO
ql --(qB1 O qA1) ~ (qsoqAo)
q2 -- qB2 + q81qA1 + (q~l @ qA1)(q~oqAo)
= qB2 + aqA1 +
(qB1 @ qA1)(qBOqAO)
3.22
An implementation after transforming the expressions to allow use of faster
gates such
as NANDs, NO Rs, AND-O R-INVERT,
and o
R-AND-INVERT is
shown
in Figure 3.9.
Comparison of the delay of the critical path and the cost of the network
shown in Figure 3.9 with that of the network of full-adders shown in Figure 3.8
is left as Exercise 3.7. 9
Multicolumn Counter
It is possible to generalize the counter concept to the reduction of several columns.
That is,
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