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

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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5.22 Find all prime implicants and all mininum sum-of-products expressions for each of
the following functions.
(a) f(A,B,C,D) = E in(4, 11, 12, 13, 14) + £ d(5, 6, 7, 8, 9, 10)
(b) f(A,B,C,D) = £ m(3, 11, 12, 13, 14) + £ d(5, 6, 7, 8, 9, 10)
(c) f(A,B,C,D) = £ m(1,2, 4, 13, 14) + I 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)
() (A,B,C,D) = L m(4) + £ d(5, 6, 7,8, 9, 10, 11, 12, 13, 14)
(g) (A,B,CD) = £ m(4, 15) + £ d(0, 1, 2, 5, 6, 7, 8, 9, 10)
%3D
%3D
Transcribed Image Text:5.22 Find all prime implicants and all mininum sum-of-products expressions for each of the following functions. (a) f(A,B,C,D) = E in(4, 11, 12, 13, 14) + £ d(5, 6, 7, 8, 9, 10) (b) f(A,B,C,D) = £ m(3, 11, 12, 13, 14) + £ d(5, 6, 7, 8, 9, 10) (c) f(A,B,C,D) = £ m(1,2, 4, 13, 14) + I 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) () (A,B,C,D) = L m(4) + £ d(5, 6, 7,8, 9, 10, 11, 12, 13, 14) (g) (A,B,CD) = £ m(4, 15) + £ d(0, 1, 2, 5, 6, 7, 8, 9, 10) %3D %3D
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