The figure below shows a multiplexer where {S}_{1} and {S}_{0} are the select lines, {I} 0 to {I}_{3} are the input data lines. EN is the enable line, and {F}( {P}, {Q}, {R}) is the output. {F} is

{P} \overline{ {C}} {R}+\overline{ {P} Q}

GATE Electronics and Communications (EC) 2020 Solved Papers

Question : 18 of 65

Marks: +1, -0

The figure below shows a multiplexer where

{S}_{1}

and

{S}_{0}

are the select lines,

{I} 0

{I}_{3}

are the input data lines. EN is the enable line, and

{F}( {P}, {Q}, {R})

is the output.

{F}

Solution:

F=\ov{P} \ov{Q} R+P \ov{Q} R+P Q

=\ov{P} \ov{Q} R+P \ov{Q} R+P Q \ov{R}+P Q R

=Σ m(1,5,6,7)

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