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# HW#4 - (a ∑ = 7 6 4 3 2 1 m z y x G(b ∑ = 15 13 12 10 8...

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King Fahd University of Petroleum and Minerals Department of Electrical Engineering EE 200 Digital Logic Circuit Design Dr. H. Ragheb HW No. 4 1- Reduce the following expressions to a minimum sum of products form, using the postulates and theorems. Show this simplification (number of terms and number of literals in minimum shown in parentheses). Also, show the steps appear on Karnaugh maps. (a) r q p r q p r q p r q p r q p + + + + (3 terms, 6 literals) (b) z y x z y x z y x z y x z y x z y x + + + + + (3 terms , 5 literals) 2- For each of the following, find all minimum sum of product expressions. (If there is more than one solution, the number of solutions is given in parentheses.)
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Unformatted text preview: (a) ∑ = ) 7 , 6 , 4 , 3 , 2 , 1 ( ) , , ( m z y x G (b) ∑ = ) 15 , 13 , 12 , 10 , 8 , 7 , 5 , 2 ( ) , , , ( m z y x w f (c) ∑ = ) 15 , 14 , 13 , 11 , 10 , 9 , 8 , 6 , ( ) , , , ( m d c b a g (2 solutions) (d) ∑ = ) 15 , 14 , 13 , 11 , 10 , 9 , 8 , 7 , 6 , 5 , 4 , ( ) , , , ( m d c b a f (2 solutions) (d) ∑ = ) 15 , 12 , 11 , 10 , 9 , 8 , 7 , 6 , 4 , 2 , 1 , ( ) , , , ( m d c b a f (2 solutions) (d) ∑ = ) 15 , 14 , 13 , 12 , 11 , 10 , 8 , 7 , 5 , 3 , 2 , ( ) , , , ( m d c b a g (4 solutions)...
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