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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
5.7 EXAMPLES OF MINIMUM FUNCTION EXTRACTION 209
where the 2
n
M
i
in Eq. (5.19) represent maxterms read in maxterm code, and the f
i
repre-
sent their respective coefficients whose values derive from the binary set {0, 1}. The 2
n
M
i
maxterms are mutually disjoint since only one maxterm can be inactive (logic 0) for the
same values of inputs. For this reason it is permissible to interchange the AND and EQV
operators in Eq. (5.19). Thus, Eq. (5.19) expresses the transformation of a POS expres-
sion to an EQV-product-of-sums (EQPOS) expression. Note that if all f
i
are logic 0, then
F
n
= 0.
Setting x
i
x
i
0 eliminates all x
i
from Eq. (5.19), resulting in a negative polarity
expression for the function F
n
, which is simplified by multiple applications of the EQV
form ...
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Publisher Resources

ISBN: 9780126912951