# HW#5 - d m d c b a h(2 solutions 3 For each of the...

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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. 5 (Due Sat. Oct. 23) 1- For the following functions, (i) List all prime implicants, indicating which are essential. (ii) Show the minimum sum of products expressions, (a) = ) 15 , 14 , 13 , 10 , 8 , 7 , 5 , 4 , 1 , 0 ( ) , , , ( m D C B A G (3 solutions) (b) = ) 13 , 11 , 10 , 9 , 7 , 6 , 5 , 4 , 3 , 2 ( ) , , , ( m z y x w f (c) = ) 15 , 14 , 13 , 12 , 10 , 9 , 8 , 4 , 3 , 2 , 1 ( ) , , , ( m d c b a h (2 solutions) 2- For each of the following functions, find all minimum sum of product expressions, (a) + = ) 12 , 1 ( ) 15 , 13 , 9 , 8 , 7 , 3 , 2 , 0 ( ) , , , ( d m D C B A G (b) + = ) 12 , 10 , 8 ( ) 14 , 13 , 7 , 6 , 5 , 3 , 1 ( ) , , , ( d m z y x w f (2 solutions) (c) + = ) 14 , 12 , 11 , 7 , 5 , 2 , 0 ( ) 15 , 13 , 10 , 8 , 3 ( ) , , ,
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Unformatted text preview: ( d m d c b a h (2 solutions) 3- - For each of the following functions, find all minimum sum of product expressions and all of the minimum product of sums expressions (a) ∑ = ) 15 , 14 , 13 , 10 , 7 , 5 , 3 , 2 ( ) , , , ( m z y x w f (1 SOP, 1 POS solutions) (c) ∑ ∑ + = ) 12 , 10 , 5 , 2 ( ) 15 , 14 , 13 , 9 , 4 , 3 ( ) , , , ( d m d c b a h (1 SOP, 2 POS solutions) (d) ∑ ∑ + = ) 15 , 10 , 9 , 7 , 5 , 3 ( ) 13 , 12 , 11 , 6 , 4 ( ) , , , ( d m d c b a g (2 SOP, 8 POS solutions)...
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