Truth Table to POS Form
To get POS form of F, write SOP form of F’, then use DeMorgan’s Law.
A B C F 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1
F’(A,B,C) = A’B’C’ + A’B’C + A’BC’ Take complement of both sides:
(F’(A,B,C))’ = (A’B’C’ + A’B’C + A’BC’)’ Apply DeMorgan’s Law to right side. Left side is (F’)’ = F.
F(A,B,C) = (A’B’C’)’ (A’B’C)’ (A’BC’)’ apply DeMorgan’s Law to each term
F(A,B,C) = (A+B+C) (A+B+C’)(A+B’+C)