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hw3sol - CSE140 Fall 2006 Homework#3-Solutions For most of...

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CSE140 – Fall 2006 Homework #3-Solutions For most of these problems, there is more than one approach. It has been tried to show you several different approaches in different problems. The A and A’ forms are equivalent. A s in the textbook are written A’ here. 1. Problems 3.3 and 3.4 (b) A 1 1 0 0 1 X 0 0 0 0 X 1 D C 0 0 1 1 B F(A,B,C,D) = AD+A’D’ Prime Implicants: AD, A’D’. Both are essential. For each prime implicant, 1 don’t care is set to 1. (c) A X 0 0 1 1 1 1 0 1 0 0 0 D C 1 0 0 0 B F(A,B,C,D) = A’B’+BC’D+B’C’D’ Prime Implicants corresponding to: A’B’, BC’D, B’C’D’, A’C’D These prime implicants are essential: A’B’, BC’D, B’C’D’ For each of the two implicants corresponding to A’B’ and B’C’D’, 1 don’t care is set to 1.
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CSE140 – Fall 2006 Homework #3-Solutions 2. Problem 3.5 (b) A 1 0 0 0 1 0 1 1 1 0 0 0 D C 0 0 0 1 B F(A,B,C,D)=AC’D+AB’C’+A’B’D+AB’CD’ (c) A 1 0 1 0 1 0 0 1 1 0 1 1 D C 0 0 1 0 B F(A,B,C,D)=A’B’C’+B’D+ABD’+ABC (e) A 1 1 0 0 1 0 0
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