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EE2301HW4F09Sol - Department of Electrical and Computer...

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1 Department of Electrical and Computer Engineering University of Minnesota EE2301 Fall 2009 Introduction to Digital System Design L. L. Kinney Problem Set IV Solutions Due Thurs. Oct. 15, 2009 prior to the beginning or immediately after class. Please put your EE 0301 Discussion Section number (1, 2, 3, 4 or 5) ( not your EE 2301 Laboratory Section number) on your homework. 1. Problem 5.22 (a), (c), (e) and (g) in the text. (a) A B C D 00 01 11 10 00 01 11 10 1 X X X X X X 1 1 1 1 f = A B' + B D' + A C' or = A B' + B C' + B D' or = A B' + B C' + A D' PIs: A B', B C', A D', B D', A C', A' B (e) A B C D 00 01 11 10 00 01 11 10 1 1 X X X X X X 1 1 f = C D + A'B PIs: C D, A'B, A B' (c) A B C D 00 01 11 10 00 01 11 10 1 1 1 X X X X X X 1 1 f = C'D + C D' + A'B PIs: C'D, C D', A'B, A B'C', A B'D (g) A B C D 00 01 11 10 00 01 11 10 X X X 1 X X X X X X 1 f = B C D + A'B or f = B C D + A'D' or f = B C D + A'C' PIs: B C D, A'C', A'D', A'B, B'D', B'
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2 2. Problem 5.23 (a), (c), (e) and (g) in the text. (a) A B C D 00 01 11 10 00 01 11 10 0 0 0 0 X X X X X X 0 f = (B'+ C'+ D') (A + B ) PIs: (B'+ C'+ D'), (A + B ) (A + D'), (A + C') (e) A B C D 00 01 11 10 00 01 11 10 0 0 0 X X X X X X 0 0 0 f = (A'+ C ) (B + C ) (C'+ D ) or = (C + D') (A'+ D ) (B + D ) PIs: (C + D'), (A'+ D ), (B + D ), (A' + C), (B + C), (C' + D), (A + B' + D'), (A + B'+ (c)
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