Minterm Expansion
A minterm must have every variable present. If a boolean product term does not have every variable present, then it can be expanded to its minterm representation.
F(A,B,C) = AB + C neither AB, or C are minterms
To expand AB to minterms, use the relation: AB = AB(C+ C’) = ABC + ABC’ To expand C to minterms, do: C = C(A+A’) = AC+ A’C = AC(B+B’) + A’C(B+B’) = ABC + AB’C + A’BC + A’B’C F = AB +C = A’B’C + A’BC + AB’C + ABC’ + ABC F(A,B,C) = S m(1,3,5,6,7)