5.22 Find all prime implicants and all minimum sum-of-products expressions for each of the following functions. (a) f(A,B,C,D) = £ n(4, 11, 12, 13, 14) + E d(5,6,7,8, 9, 10) (b) (A,B,C,D) = £ m(3, 11, 12. 13, 14) +E d(5,6, 7,8,9, 10) (c) flA,B,C,D) = £ m(1,2, 4, 13, 14) + E d(5,6, 7,8,9, 10)

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5.22 Find all prime implicants and all minimum sum-of-products expressions for each of
the following functions.
(a) f(A,B,C,D) = E m(4, 11, 12, 13, 14) + £ d(5,6,7,8, 9, 10)
(b) (A,B,C,D) = £m(3,11, 12, 13, 14) + I d(5, 6, 7, 8, 9. 10)
(c) f(A,B,C,D) = £ m(1,2, 4, 13, 14) + E d(5,6, 7, 8,9, 10)
(d) f(A,B,C,D) = £ m(4, 15) + 2 d(5, 6, 7,8, 9, 10)
(e) (A,B,C,D) = £ m(3.4, 11, 15) + E d(5, 6, 7, 8, 9, 10)
(1) (A,B,C,D) = £ m(4) + d(5, 6, 7,8, 9, 10, 11, 12, 13, 14)
(g) f(A,B,C,D) = £ m(4, 15) + £ d(0, 1, 2,5, 6, 7,8, 9, 10)
%3D
5.23 For each function in Problem 5.22, find all minimum product-of-sums expressions.
Transcribed Image Text:5.22 Find all prime implicants and all minimum sum-of-products expressions for each of the following functions. (a) f(A,B,C,D) = E m(4, 11, 12, 13, 14) + £ d(5,6,7,8, 9, 10) (b) (A,B,C,D) = £m(3,11, 12, 13, 14) + I d(5, 6, 7, 8, 9. 10) (c) f(A,B,C,D) = £ m(1,2, 4, 13, 14) + E d(5,6, 7, 8,9, 10) (d) f(A,B,C,D) = £ m(4, 15) + 2 d(5, 6, 7,8, 9, 10) (e) (A,B,C,D) = £ m(3.4, 11, 15) + E d(5, 6, 7, 8, 9, 10) (1) (A,B,C,D) = £ m(4) + d(5, 6, 7,8, 9, 10, 11, 12, 13, 14) (g) f(A,B,C,D) = £ m(4, 15) + £ d(0, 1, 2,5, 6, 7,8, 9, 10) %3D 5.23 For each function in Problem 5.22, find all minimum product-of-sums expressions.
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