Question

Given that F = A’B’ + C + D’ + E’, Which of the following represents the only correct expression for F’?

(a) F’ = A + B + C + D + E

(b) F’ = ABCDE

(c) F’ = AB(C + D + E)

(d) F’ = AB + C’ + D’ + E’

(e) F’ = (A + B)CDE

Answer 1

F = A'B'+ C'+ D'+ E'

Taking complement on both sides:

F’ = (A'B'+ C'+ D'+ E')’ =(A’B’)’.(C’)’(D’)’(E’)’

=(A+B).C.D.E

So, (A + B)CDE represents correct expression for F’