Algebraic Forms of Switching Functions (4)
Example: Given f(A,B,Q,Z) = A'B'Q'Z' + A'B'Q'Z + A'BQZ' + A'BQZ, express f(A,B,Q,Z) and f '(A,B,Q,Z) in minterm list form.
f(A,B,Q,Z) = A'B'Q'Z' + A'B'Q'Z + A'BQZ' + A'BQZ
= m0 + m1 + m6 + m7
= S m(0, 1, 6, 7)
f '(A,B,Q,Z) = m2 + m3 + m4 + m5 + m8 + m9 + m10 + m11 + m12
+ m13 + m14 + m15
= S m(2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15)
AB + (AB)' = 1 and AB + A' + B' = 1, but AB + A'B' ¹ 1.