Maxterm Expansion
A maxterm must have every variable present. If a boolean sum term does not have every variable present, then it can be expanded to its maxterm representation.
F(A,B,C) = (A+B) (C) neither (A+B), or C are maxterms
To expand (A+B) to maxterms, use the relation: (A+B) = (A+B+C’C) = (A+B+C’)(A+B+C) To expand C to minterms, do: C = C+A’A = (A’+C)(A+C) = (A’+BB’+C)(A+C+BB’) = (A’+B’+C)(A’+B+C)(A+B’+C)(A+B+C) F = (A+B)(C) = (A+B+C)(A+B+C’)(A+B’+C)(A’+B+C)(A’+B’+C) F(A,B,C) = P M(0,1,2,4,6)