An 8 × 1 multiplexer has inputs A, B, and C connected to the selection inputs S 2 , S 1 , and S 0 , respectively. The data inputs I 0 through I 7 are as follows:1. (a) I 1 = I 2 = I 7 = 0 ; I 3 = I 5 = 1 ; I 0 = I 4 = D ; and I 6 = D ′ .2. (b) I 1 = I 2 = 0 ; I 3 = I 7 = 1 ; I 4 = I 5 = D ; and I 0 = I 6 = D′ . Determine the Boolean function that the multiplexer implements.
An 8 × 1 multiplexer has inputs A, B, and C connected to the selection inputs S 2 , S 1 , and S 0 , respectively. The data inputs I 0 through I 7 are as follows:1. (a) I 1 = I 2 = I 7 = 0 ; I 3 = I 5 = 1 ; I 0 = I 4 = D ; and I 6 = D ′ .2. (b) I 1 = I 2 = 0 ; I 3 = I 7 = 1 ; I 4 = I 5 = D ; and I 0 = I 6 = D′ . Determine the Boolean function that the multiplexer implements.
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter9: Components For Electric Motors
Section: Chapter Questions
Problem 14RQ
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Question
An 8 × 1 multiplexer has inputs A, B, and C connected to the selection inputs S 2 , S 1 , and S 0 , respectively. The data inputs I 0 through I 7 are as follows:
1. (a) I 1 = I 2 = I 7 = 0 ; I 3 = I 5 = 1 ; I 0 = I 4 = D ; and I 6 = D ′ .
2. (b) I 1 = I 2 = 0 ; I 3 = I 7 = 1 ; I 4 = I 5 = D ; and I 0 = I 6 = D′ . Determine the Boolean function that the multiplexer implements.
Expert Solution
Step 1
As per the data given,
Inputs of 8 × 1 multiplexer are A, B, and C.
Selection input of multiplexer are as- S2, S1, S0
Step 2
(i) As per the data given, the truth table is shown as
Hence the expression for Boolean function for the given multiplexer is as:-
F(A,B,C,D) = Ʃ (1,6,7,9,10,11,12) |
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