PHYS345 Electricity and Electronics

Karnaugh Mapping for Segment c:

The Truth Table:

 BA 00  01  11  10 
DC\
 00    1 1 1 0
 01    1 1 1 1
 11    x x x x
 10    1 1 x x

Boxing zeroes:

 BA 00  01  11  10 
DC\
 00    1 1 1 0
 01    1 1 1 1
 11    x x x x
 10    1 1 x x

The red cells are represented by C'.B.A'; of course the complement is required for the final realization. Thus (C'.B.A')' is the combination of gates that is realized from the Karnaugh mapping of zeroes.

Application of De Morgan's theorem results in the combination of gates shown for segment c:
(C'.B.A')' = C + B' + A


"http://www.physics.udel.edu/~watson/phys345/class/17-segment-c.html"
Last updated Nov. 4, 1999.
Copyright George Watson, Univ. of Delaware, 1999.