4-Assignments_EE200hw3_solution - King Fahd Univesity of...

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a c b d 1 1 1 1 1 1 1 1 11 King Fahd Univesity of Petroleum & Minerals Department of Electrical Engineering EE200-03 (062) Homework # 3 1. Reduce the following Boolean function to the minimum number of literals: (, ,) F x y z x yz x yz xy z xyz xyz ′′ ′ =+ ++ + 2. Simplify the following Boolean function by algebraic manipulation: (,, ) ( ) FABC ABC A BC C ′′′ = + 3. Represent the following Boolean function in a truth table: ( , , , ) ( ) Fwxyz w y x yw z ′′ + 4. Express the function given in (1) above as a sum of minterms and product of maxterms. 5. Simplify the following Boolean function using Karnaugh map. = ) 15 , 14 , 11 , 9 , 8 , 5 , 4 , 3 , 1 , 0 ( ) , , , ( d c b a F 1. ( , , ) ()( ) () F x y zx y y z x y y y y zzx z yyx y zz x y xz xy x y ′ ′ + = + + + + + =++ = + += + 2.
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This note was uploaded on 01/16/2010 for the course EE EE200 taught by Professor Prof.ahmed during the Spring '09 term at King Fahd University of Petroleum & Minerals.

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