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The figure below shows a multiplexer where S1 and S0 are the select lines, I0 to I3 are the input data lines, EN is the enable line, and F(P, Q, R) is the output. F is

The figure below shows a multiplexer where S1 and S0 are the select lines, I0 to I3 are the input data lines, EN is the enable line, and F(P, Q, R) is the output. F is Correct Answer PQ + Q̅R 

Concept:

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For a general 4 to 1 multiplier as shown, the output expression is written as:

F = S̅1S̅0I0 + S̅1S0I1 + S1S̅0I2 + S1S0I3  

i.e. I0 will be the output when the select inputs are 00, I1 will be the output when the select Inputs are 01, and so on.

Application:

For the given MUX, the enable input is activated (Active low enable).

∴ The output expression will be:

F = P̅Q̅R + P̅Q(0) + PQ̅R + PQ(1)

F = P̅Q̅R  + PQ̅R + PQ

F = Q̅R(P + P̅) + PQ

F = Q̅R + PQ

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