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EE2301Q3F09Sol

# EE2301Q3F09Sol - University of Minnesota Department of...

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University of Minnesota Department of Electrical and Computer Engineering EE2301 Fall 2009 Introduction to Digital System Design L. L. Kinney Quiz III Solutions #1 1(15) Use a Karnaugh map to find all prime implicants of the function f(A, B, C, D) = Σ m(0, 6, 8, 9, 10, 11, 13, 14, 15) . Give algebraic expressions for the prime implicants. Solution F A B C D 00 01 11 10 00 01 11 10 1 1 1 1 1 1 1 1 1 PIs: B'C'D' + B C D' + A D + A C + A B' 2(20) The first column of the Quine-McClusky table for finding the prime implicants of a function is given below. Complete the table to find all prime implicants. Clearly, denote which entries are prime implicants. You need not give the algebraic expressions for the prime implicants. Solution 24 0011000 24, 28 0011-00 24, 28, 88, 92 -011-00 66 1000010 24, 88 -011000 66, 82, 98, 114 1--0010 28 0011100 66, 82 10-0010 35 0100011 66, 98 1-00010 82 1010010 28, 92 -011100 88 1011000 35, 43 010-011 98 1100010 82, 114

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• Fall '09
• LarryKinney
• Harshad number, Prime number, Nontotient, prime implicants, University of Minnesota Department of Electrical and Computer Engineering

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EE2301Q3F09Sol - University of Minnesota Department of...

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