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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
4.7 FUNCTION REDUCTION OF FIVE OR MORE VARIABLES 165
m(5, 6) = C D = C
¯
D +
¯
CD = (C +D)(
¯
C +
¯
D). The minimum SOP and POS results
are given by
Z
SOP
=
¯
ABC
¯
D +
¯
A
¯
BD + A
¯
B
¯
D +
¯
CD +
¯
B
¯
C
Z
POS
=(A + B +
¯
C + D)(
¯
B +
¯
C +
¯
D)(
¯
B + C + D)(
¯
A +
¯
B + D)(
¯
A +
¯
C +
¯
D).
(4.48)
From the results depicted in Fig. 4.34, certain conclusions are worth remembering and are
set off by the following:
r
In minterm code, subfunctions of the type XY are subsets of forms of the type
X +Y .
r
In maxterm code, subfunctions of the type X + Y are subsets of forms of the
type XY.
What this means is that subfunctions of the type XY can be looped out from terms of the
type X + Y to produce reduced SOP cover. For reduced POS cover, subfunctions of the
type X + Y can be looped out from terms of the ...
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Publisher Resources

ISBN: 9780126912951