5.22 Find all prime implicants and all minimum sum-of-products expressions for each of the following functions....

 

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