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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
4.3 INTRODUCTION TO LOGIC FUNCTION GRAPHICS 137
to Eqs. (4.8) and (4.9), there results
f +
¯
f =
m(0, 2, 5, 6) +
m(1, 3, 4, 7)
=
m(0, 1, 2, 3, 4, 5, 6, 7)
=1.
Generally, the Boolean sum of all 2
n
minterms of a function is logic 1 according to
2
n
1
i=0
m
i
= 1. (4.10)
Similarly, by using the AND law, X ·
¯
X = 0, and the AND form of the commutative laws,
there results
f ·
¯
f =
M(1, 3, 4, 7) ·
M(0, 2, 5, 6)
=
M(0, 1, 2, 3, 4, 5, 6, 7)
=0.
Or generally, the Boolean product of all 2
n
maxterms of a function is logic 0 according to
2
n
1
i=0
M
i
= 0. (4.11)
Equations (4.10) and (4.11) are dual relations by the definition of duality given in Subsection
3.10.2.
To summarize, the ...
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Publisher Resources

ISBN: 9780126912951