Minimis logic function using K-map, Computer Engineering

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Minimise the logic function F (A, B, C, D) = Π M (1, 2, 3, 8, 9, 10, 11,14) ⋅ d (7, 15)
Use Karnaugh map.

Ans. Given function F=∏M(1,2,3,8,9,10,11,14).d(7, 15)
F'=B'D+B'C+AC+AB' By Complementing F
F=(B'D+B'C+AC+AB')'
= [(B'D)'(B'C)'(AC)'(AB')']'
= (B+D')(B+C')(A'+C')(A'+B)
Taking here complement twice but also without opening the bracket
F=[(B+D')+(B+C')'('A'+C')+(A'+B)]'

322_Minimis logic function using K-map.png

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