CPRE281_HW05_SOLUTION

# CPRE281_HW05_SOLUTION - Cpr E 281 HW05 SOLUTION ELECTRICAL...

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Cpr E 281 HW05 SOLUTION ELECTRICAL AND COMPUTER ENGINEERING IOWA STATE UNIVERSITY Karnaugh Maps Assigned Date: Fifth Week Due Date: First class of 6th week 1 P1. (25 points) Find the simplified Boolean expression for the following functions using K-map a. F(A, B, C) = Σ m(1, 3, 5) + Σ d(6, 7) F = C b. F(A, B, C) = Σ m(0, 1, 3, 7) + Σ d(2, 5) F = A’ + C c. F(A, B, C, D) = Σ m(1, 3, 7, 11, 15) + Σ d(0, 2, 4) F = A’B’ + CD

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Cpr E 281 HW05 SOLUTION ELECTRICAL AND COMPUTER ENGINEERING IOWA STATE UNIVERSITY Karnaugh Maps Assigned Date: Fifth Week Due Date: First class of 6th week 2 d. F(A, B, C, D) = Σ m(5, 6, 7, 12, 13) + Σ d(4, 9, 14, 15) F = B e. F(W, X, Y, Z) = Σ m(0, 7, 8, 9, 10, 12) + Σ d(2, 5, 13) F = X’Z’ + W’XZ + WY’ P2. (10 points) Use K-map to simplify the following expression and implement it using gates F(A, B, C, D) = Σm( 2, 4, 8 ,11, 15 ) + Σd( 1, 10, 12, 13) F = B’CD’ + ACD + BC’D’ + AC’D’
Cpr E 281 HW05 SOLUTION ELECTRICAL AND COMPUTER ENGINEERING IOWA STATE UNIVERSITY Karnaugh Maps Assigned Date: Fifth Week Due Date: First class of 6th week 3 Logic circuit P3. (10 points)

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