Show how to build each of the following single- or multiple-output logic functions using one or more 74x138 or 74x139 binary decoders and NAND gates. (Hint: Each realization should be equivalent to a sum of minterms.)
(a) F = ∑X, Y, Z(2, 4, 7)
(b) F = ΠA, B, C(3, 4, 5, 6, 7)
(c) F = ∑A, B, C, D(0, 2, 10, 12)
(d) F = ∑W, X, Y, Z (2, 3, 4, 5, 8, 10, 12, 14)
(e) F = ∑W, X, Y(0, 2, 4, 5)
G = ∑W, X, Y(1, 2, 3, 6)
(f) F = ∑A, B, C(2, 6)
G = ∑C, D, E(0, 2, 3)
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