ex2ans - The Chinese University of Hong Kong Department of...

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The Chinese University of Hong Kong Department of Computer Science and Engineering ERG2020A (Fall 2007): Revision Exercise # 2 Suggested Solution 1. Give all the Essential Minterm, Prime Implicants (PIs), Essential Prime Implicants (EPIs) for the following and then give their min SOP forms. [10 pts] (a) C B A 1 D 1 1 1 1 1 1 Essential minterms: A B C D , A B C D , A B C D , ABCD PI’s: A C D , B D , ACD, A B C EPI’s: A C D , B D , ACD min. SOP: ACD + A C D + B D C B A 1 D 1 1 1 1 1 1 X X X 1 Essential minterms: A B C D , A B C D , A B CD PI’s: CD, AB, BC, B D , AC EPI’s: AB, AC, B D min. SOP: AC + CD + B D 2. Obtain the min SOP form using K-map for the followings: [35 pts (5 pts each)] (a) (A + B + C)( A + C )(B + C ) F = ( A + B + C )( A + C )( B + C ) F = ( A + B + C )( A + C )( B + C ) = A B C + AC + B C A C B 1 1 1 1 0 0 0 0 F = A C + B C + A BC 1
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(b) A B C + ABC D + ABCD + B C D A D C 1 B 1 1 1 1 1 = AC + B C D (c) A D C 1 B 1 1 1 1 1 1 1 1 = AC + A B D + A B D + A B D (d) A D C B 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 = A B + B C D + B C D + A C D (e) A D C B 1 X 1 X X X X 1 1 X X X = B D + A D + A BD 2
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(f) A D C B 0 X X X X X X 0 0 0 0 1 1 1 1 1 = A D + A B (g) f(w,x,y,z) = m
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This note was uploaded on 05/18/2010 for the course ENGINEERIN ERG2020A taught by Professor Leekinhong during the Spring '07 term at CUHK.

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ex2ans - The Chinese University of Hong Kong Department of...

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