CPRE281_HW04_SOLUTION(1) - Cpr E 281 HW04 SOLUTION...

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Cpr E 281 HW04 SOLUTION ELECTRICAL AND COMPUTER ENGINEERING IOWA STATE UNIVERSITY Assigned Date: Fourth Week Due Date: First class of 5th week 1 P1. (10 points) Design the AND, OR, NAND, NOR, XOR, XNOR and NOT gates using one 2:1 Multiplexer (variables and complements can be used). P2. (10 points) Obtain the SOP, canonical short form and simplified expression for the following K-maps a. F = X’Y’Z + X’YZ + XY’Z + XYZ = Σ m (1, 3, 5, 7) Simplified Boolean expression = Z
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Cpr E 281 HW04 SOLUTION ELECTRICAL AND COMPUTER ENGINEERING IOWA STATE UNIVERSITY Assigned Date: Fourth Week Due Date: First class of 5th week 2 b. F = X’YZ + X’YZ’ + XYZ + XYZ’ = Σ m (2, 3, 6, 7) Simplified Boolean expression = Y c. F = X’YZ’ + XY’Z’ + XYZ’ = Σ m (2, 4, 6) Simplified Boolean expression = XZ’ + YZ’ P2. (15 points) Use K-map to simplify the following SOP a. F(X, Y, Z) = Σ m (0, 1, 5, 7) F(X, Y, Z) = X’Y’ + XZ
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Cpr E 281 HW04 SOLUTION ELECTRICAL AND COMPUTER ENGINEERING IOWA STATE UNIVERSITY Assigned Date: Fourth Week Due Date: First class of 5th week 3 b. F(X, Y, Z) = Σ
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