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# ex2 - 3 Use Quine-McCluskey Method to Fnd all PI’s and a...

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The Chinese University of Hong Kong Department of Computer Science and Engineering ERG2020A (Fall 2007): Revision Exercise # 2 Posted: 22 Oct, 2007 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 (b) C B A 1 D 1 1 1 1 1 1 X X X 1 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 ) (b) A B C + ABC D + ABCD + B C D 1

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(c) A D C 1 B 1 1 1 1 1 1 1 1 (d) A D C B 0 0 0 0 0 0 0 0 (e) A D C B 1 X 1 X X X X 1 1 X X X (f) A D C B 0 X X X X X X 0 0 0 0 (g) f(w,x,y,z) = m (2 , 4 , 5 , 8 , 10 , 11 , 13 , 15) + d (0 , 3 , 6) (don’t cares)
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Unformatted text preview: 3. Use Quine-McCluskey Method to Fnd all PI’s and a min SOP for the following problems: [30 pts (10 pts each)] (a) f(a,b,c,d) = ∑ m (1 , 3 , 4 , 5 , 6 , 7 , 10 , 12 , 13) (b) f(a,b,c,d) = ∑ m (2 , 3 , 4 , 7 , 9 , 11 , 12 , 13 , 14) + ∑ d (1 , 10 , 15) ±ind all min SOP expressions for (c) f(a,b,c,d,e) = ∑ m (0 , 1 , 2 , 3 , 6 , 8 , 9 , 10 , 11 , 17 , 20 , 21 , 23 , 25 , 28 , 30 , 31) 2...
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