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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
5.4 K-MAP PLOTTING AND ENTERED VARIABLE XOR PATTERNS 205
As a second example, consider function I in Fig. 5.2b, which has been extracted in
maxterm code. Verification of this function is also accomplished in six steps:
I =(A + B + X Y )(
¯
A + B +
¯
X Z)(
¯
A +
¯
B + Y Z) (1) From K-map
=(A + B + X Y ) (
¯
A + B +
¯
X Z) (
¯
A +
¯
B + Y Z) (2) By Eq. (3.26)
=(A + B + X ) (A + B + Y ) (
¯
A + B +
¯
X) (
¯
A + B + Z)
(
¯
A +
¯
B + Y ) (
¯
A +
¯
B + Z ) (3) By Eqs. (3.19)
=[B + (A + X) (
¯
A +
¯
X )] [Y + (A + B) (
¯
A +
¯
B )]
[
¯
A + Z + (B
¯
B )] (4) By Eqs. (3.19)
=[B + (A + X)(
¯
A +
¯
X )] [Y + (A + B)(
¯
A +
¯
B )] [
¯
A + Z] (5) By Eq. (3.26)
=[B + (A X)] [Y + (A B)] [
¯
A + Z] (6) By Eqs. (3.4)
In going from step 3 to step 4, commutivity was applied before application ...
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Publisher Resources

ISBN: 9780126912951