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Question
Reduce the above expression X ( E, R, S, C ) by using 4-variable Karnaugh map, showing the various groups (i.e. octal, quads and pairs).
Draw the logic gate diagram for the reduced expression. Assume that the variables and their complements are available as inputs.
Solution
There are two quads and a pair:
Quad 1 (m1 + m3 + m9 + m11) = R’ C
Quad 2 (m10 + m11 + m14 + m15) = E S
Pair (m4 + m6) = E’ R C’
Hence F(E,R,S,C) = R’ C + E S + E’ R C’
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