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Lect6 - 3

Lect6 - 3 - Example Plot F(a,b,c,d,e = Σ...

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EE 316 - Digital Logic Design Lecture 6 Nur A. Touba University of Texas at Austin

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PRIME IMPLICANTS Implicant - Any product term Prime Implicant - Not Contained in another implicant Minimal Sum - Only Prime Implicants (not necessarily all)
IDENTIFYING ALL PRIME IMPLICANTS Example Only 3 out of 6 Prime Implicants Needed for Minimal Sum

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ESSENTIAL PRIME IMPLICANTS Essential Prime Implicant - Only One to Cover Minterm Example: F = CD + BD + B’C + AC
EXAMPLE

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EXAMPLE First Circle Essential Prime Implicants Then Select Prime Implicants to Cover Rest
DETERMINING MINIMUM SUM

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5-VARIABLE K-MAPS

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Unformatted text preview: Example: Plot F(a,b,c,d,e) = Σ m(0,7,8,9,12,13,15,18,20,22,23,24,25,28,29,31) 5-VARIABLE K-MAPS ☞ Minimize EXAMPLE ☞ F(a,b,c,d,e) = Σ m(1,4,5,7,13,21) EXAMPLE ☞ F(a,b,c,d,e) = Σ m(0,1,4,5,13,15,20,21,22,23,24,26,28,30,31) EXAMPLE ☞ F(a,b,c,d,e) = Σ m(0,1,3,8,9,14,15,16,17,19,25,27,31) GUIDING FACTORING ☞ F = ABCD + B’CDE + A’B’ + BCE’ VEITCH DIAGRAM 5-VARIABLE K-MAP ☞ Mirror Image Map EXAMPLE ☞ F(a,b,c,d,e) = Σ m(0,3,4,6,8,10,11,12,14,19,21,23,26,28,29,30,31) EXAMPLE ☞ F(a,b,c,d,e) = Σ m(0,3,4,6,8,10,11,12,14,19,21,23,26,28,29,30,31)...
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