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Problem No. 4.32: Implement the following Boolean function with a multiplexer. (a) F (A,B,C,D) = ∑ (0, 2, 5, 7, 11, 14) (b) F (A,B,C,D) = π (3, 8, 12) Answer by: Elbambo, Roberto Jerome S. Solution

This document contains multiple problems and solutions related to implementing Boolean functions using multiplexers. Problem 4.34 asks the reader to determine the Boolean function implemented by an 8x1 multiplexer where the data and selection inputs are specified. The responses provide that for part (a) the multiplexer implements the function D'+D and for part (b) the function D'+D.

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7K views4 pages

Problem No. 4.32: Implement the following Boolean function with a multiplexer. (a) F (A,B,C,D) = ∑ (0, 2, 5, 7, 11, 14) (b) F (A,B,C,D) = π (3, 8, 12) Answer by: Elbambo, Roberto Jerome S. Solution

This document contains multiple problems and solutions related to implementing Boolean functions using multiplexers. Problem 4.34 asks the reader to determine the Boolean function implemented by an 8x1 multiplexer where the data and selection inputs are specified. The responses provide that for part (a) the multiplexer implements the function D'+D and for part (b) the function D'+D.

Uploaded by

Ashner Novilla
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Problem No. 4.32: Implement the following Boolean function with a multiplexer.

(a) F1(A,B,C,D) = ∑ (0, 2 , 5, 7, 11, 14)

(b) F2(A,B,C,D) = π (3, 8, 12)

Answer by: Elbambo, Roberto Jerome S.

Solution:
Problem No. 4.33: Implement a Full Subtractor with two 4 X 1 multiplexers.

Answer by: Elbambo, Roberto Jerome S.


Problem 4.34 : An 8 X 1 multiplexer has inputs A, B, and C connected to the selection inputs S 0,
S1 and S2 , respectively. The data inputs I0 through I7 are as follows:
(a) I1 = I2 = I7 = 1 ; I3 = I5 = 0 ; I0 = I4 = D' ; and I6 = D.

(b) I1 = I2 = 1 ; I3 = I7 = 0 ; I4 = I5 = D' ; and I0 = I6 D.

Determine the Boolean function that the multiplexer implements.

Answer by: Elbambo, Roberto Jerome S.

(a)

(b)
Problem 4.35: Implement the following Boolean function with a 4 X 1 multiplexer and external
gates.
(a) F1(A,B,C,D) = ∑ (1, 3, 4, 11, 12, 13, 14, 15)

(b) F2(A,B,C,D) = ∑ (1, 2, 5, 7, 8, 10, 11, 13, 15)

Connect inputs A and B to the selection lines. The input requirements for the four data lines will
be a function of variables C and D. These values are obtained by expressing F as a function of C
and D for each of the four cases when AB = 00, 01, 10 and 11. These functions may have to be
implemented with external gates.

Answer by: Elbambo, Roberto Jerome S.

(a)

(b)

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