Simplify each of the following functions for F using a K-map. (a) F(W, X, Y, Z) =

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Simplify each of the following functions for F using a K-map.
(a) F(W, X, Y, Z) = Σ m(0, 1, 4, 5, 8, 9) 

(b) F(A,B,C,D) = Σ m(0, 2, 8, 10, 12, 14)
(c) F̅(A,B,C,D) = Σ m(2, 4, 5, 6, 7, 10, 14)
(d) F(W, X, Y, Z) = Σ m(2, 3, 6, 7, 8, 9, 12, 13)
(e) F̅(W, X, Y, Z) = Σ m(0, 2, 4, 6, 8, 10, 12, 14)
(f) F(W, X, Y, Z) = Σ m(1, 3, 5, 7, 9, 11, 13, 15)

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