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18_morelogic

# 18_morelogic - Introduction to Computers and Programming...

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Introduction to Computers and Programming Prof. I. K. Lundqvist Lecture 18 3 Four Variable K-Maps Example-2 AB CD 00 00 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 01 11 10 01 11 10 Using a 4-variable K-Map, simplify the following Truth table 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 D C B A Output = ABCD + ABCD + ABCD May 3 2004 Output

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4 Four Variable K-Maps Example-2 AB CD 00 00 01 11 10 01 11 10 Using a 4-variable K-Map, simplify the following Truth table 6 Product-of-Sums from a Truth Table A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 F 0 0 0 1 1 1 1 1 F 1 1 1 0 0 0 0 0 F + + = Find an expression for F ) ( ) ( ) ( C B A C B A C B A F F + + + + + + = = F + + = C B A C B A C B A C B A C B A C B A C B A C B A C B A A B C D Output 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1
7 Maxterms A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 F 0 0 0 1 1 1 1 1 F 1 1 1 0 0 0 0 0 F A B C A B C A B C = + + + + + + ( ) ( ) ( ) Product-of-Sums form for a truth table maxterm

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18_morelogic - Introduction to Computers and Programming...

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