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An 8 x 1 multiplexer has inputs A, B, and C connected to the selection inputs S2, S1, and So, respectively. The data inputs Io through 17 for the functions F1 and F2 are as follows: - For F1(A,B,C,D): I₁ = I2 = I7 = 0; I3 = 15 = 1; 10 = 14 = D; and 16 = D'. - For F2(A,B,C,D): I₁ = I2 = 0; I3 = I7 = 1; I4 = I5 = D; and Io = 16 = D'. a) Show the multiplexer's diagram for F1. b) Show the multiplexer's diagram for F2. c) Determine the Boolean functions F1 and F2 that the multiplexer implements, and draw their logic diagrams with the minimum number of gates.

An 8 x 1 multiplexer has inputs A, B, and C connected to the selection inputs S2, S1, and So, respectively. The data inputs Io through 17 for the functions F1 and F2 are as follows: - For F1(A,B,C,D): I₁ = I2 = I7 = 0; I3 = 15 = 1; 10 = 14 = D; and 16 = D'. - For F2(A,B,C,D): I₁ = I2 = 0; I3 = I7 = 1; I4 = I5 = D; and Io = 16 = D'. a) Show the multiplexer's diagram for F1. b) Show the multiplexer's diagram for F2. c) Determine the Boolean functions F1 and F2 that the multiplexer implements, and draw their logic diagrams with the minimum number of gates.

Programming Logic & Design Comprehensive
Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter4: Making Decisions
Section: Chapter Questions
Problem 4RQ
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An 8 x 1 multiplexer has inputs A, B, and C connected to the selection inputs S2, S1, and So, respectively. The data inputs Io through 17 for the functions F1 and F2 are as follows: - For F1(A,B,C,D): I₁ = I2 = I7 = 0; I3 = 15 = 1; 10 = 14 = D; and 16 = D'. - For F2(A,B,C,D): I₁ = I2 = 0; I3 = I7 = 1; I4 = I5 = D; and Io = 16 = D'. a) Show the multiplexer's diagram for F1. b) Show the multiplexer's diagram for F2. c) Determine the Boolean functions F1 and F2 that the multiplexer implements, and draw their logic diagrams with the minimum number of gates.
Transcribed Image Text:An 8 x 1 multiplexer has inputs A, B, and C connected to the selection inputs S2, S1, and So, respectively. The data inputs Io through 17 for the functions F1 and F2 are as follows: - For F1(A,B,C,D): I₁ = I2 = I7 = 0; I3 = 15 = 1; 10 = 14 = D; and 16 = D'. - For F2(A,B,C,D): I₁ = I2 = 0; I3 = I7 = 1; I4 = I5 = D; and Io = 16 = D'. a) Show the multiplexer's diagram for F1. b) Show the multiplexer's diagram for F2. c) Determine the Boolean functions F1 and F2 that the multiplexer implements, and draw their logic diagrams with the minimum number of gates.
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