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If , then find
If $F(A, B, C) = A' (BC' + B'C)$, then find $F'$
Answer
Answer
AI$F(A,B,C) = A'.(B.C' + B'.C)$
By De Morgan's law: $F' = A + (B.C'+B'.C)'$
$(B.C'+B'.C)' = (B.C')'.(B'.C)' = (B'+C).(B+C') = B'.B + B'.C' + C.B + C.C' = B'C' + BC$
So $F' = A + BC + B'C'$
(verified with the boolean tool)
From ISC 2018 Computer Science Paper 1, question 1(e).