4b_Examples_Slides

4b_Examples_Slides - ECE ECE 3504 Digital Design 1 Section...

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ECE 3504 Digital Design 1 Section 4b: Examples
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The “Algorithm” The Algorithm 1 Compute the set of prime 1. Compute the set of prime implicants . 2. Choose a minimal set of prime implicants to cover the minterms of the function. a If a prime implicant is essential a. If a prime implicant is essential, we must choose it. b.If any minterms remain uncovered, choose a minimal number of the remaining prime implicants to cover the uncovered minterms.
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Completely Completely-Specified Specified Functions f (A,B,C,D) = Σ m(0,2,3,5,10,11,13,15) What are the prime implicants of f? CD 00 01 11 10 0 0 1011 AB 01 0 1 0 0 1 1 0110 1 0 0011
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Completely Completely-Specified Specified Functions f (A,B,C,D) = Σ m(0,2,3,5,10,11,13,15) What are the essential prime implicants of f? CD 00 01 11 10 0 0 1011 AB 01 0 1 0 0 1 1 0110 1 0 0011
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It’s Not Always So Easy Its Not Always So Easy! f (A,B,C,D) = Σ m(0,1,5,7,8,10,11,15) What are the prime implicants of f? CD 00 01 11 10 0 0 1100 AB 01 0 1 1 0 1 1 0010 1 0 1011
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It’s Not Always So Easy Its Not Always So Easy! f (A,B,C,D) = Σ m(0,1,5,7,8,10,11,15) What are the essential prime implicants of f? CD 00 01 11 10 0 0 1100 AB 01 0 1 1 0 1 1 0010 1 0 1011
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Incompletely Incompletely-Specified Specified Functions
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4b_Examples_Slides - ECE ECE 3504 Digital Design 1 Section...

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