Obtain a Boolean expression for the output of the multiplexer (F) in terms of the inputs and the selection variables.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Consider the 4 x 1 multiplexer shown in Fig. 1.
a. Obtain a Boolean expression for the output of the multiplexer (F) in
terms of the inputs and the selection variables.
b. Implement a 2-variable OR function using only the 4x1 multiplexer,
{F=x + y}.
c. Implement a 2-variable AND function using only the 4x1 multiplexer,
{F=x . y}.
d. Implement a 3-variable OR function using only the 4x1 multinlexer.
{F=x + y + z}.
e. Implement an inverter gate using only the 4x1 multiplexer.
lo
4-to-1
MUX
S1
So
Fig. 1
HA
Transcribed Image Text:Consider the 4 x 1 multiplexer shown in Fig. 1. a. Obtain a Boolean expression for the output of the multiplexer (F) in terms of the inputs and the selection variables. b. Implement a 2-variable OR function using only the 4x1 multiplexer, {F=x + y}. c. Implement a 2-variable AND function using only the 4x1 multiplexer, {F=x . y}. d. Implement a 3-variable OR function using only the 4x1 multinlexer. {F=x + y + z}. e. Implement an inverter gate using only the 4x1 multiplexer. lo 4-to-1 MUX S1 So Fig. 1 HA
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