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Engineering Digital Design
book

Engineering Digital Design

by Richard F. Tinder
January 2000
Intermediate to advanced content levelIntermediate to advanced
884 pages
29h 39m
English
Academic Press
Content preview from Engineering Digital Design
142 CHAPTER 4 / LOGIC FUNCTION REPRESENTATION AND MINIMIZATION
FIGURE 4.11
(a) K-map for the reduced function Y of Eq. (4.16). (b) K-map showing minimum SOP and POS
cover for function Y .
as read in maxterm code. The minimum POS results are easily read from the K-maps of
Fig. 4.10b by combining adjacent 0’s as indicated. Thus, F
1
is read as “all that is NOT
¯
Z
or
¯
¯
Z = Z. Similarly, F
2
can be read as “all that is NOT
¯
Y
¯
Z + X
¯
Y”or
¯
Y
¯
Z + X
¯
Y = (Y + Z)
(
¯
X+Y ). Notice that the distributive law in Eqs. (3.12) is applied as (Y +Z )(
¯
X+Y ) = Y +
¯
XZ,
demonstrating that the SOP and POS forms for F
2
are algebraically equal, as they must
be. The minimum POS results ...
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Publisher Resources

ISBN: 9780126912951