4-Assignments_EE200hw3_solution

# 4-Assignments_EE200hw3_solution - King Fahd Univesity of...

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a c b d 1 1 1 1 1 1 1 1 1 1 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: ( , , ) ( ) F A B C A B C A BC C ′ ′ ′ ′ = + + + 3. Represent the following Boolean function in a truth table: ( , , , ) ( ) F w x y z wy xy w 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 z x yz x yz xy z xyz xyz x y z z xz y y xy z z x y xz xy x x y xz y xz ′ ′ = + + + + = + + + + +
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