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UGC NET Computer Science Sep 2022 (Paper II)

The number of gate inputs, required to realize expression $ABC+A\overline{B}CD+E\overline{F}+AD$ is

Solution

Given expression:

$ABC+A\overline{B}CD+E\overline{F}+AD$

Number of inputs in product terms:

$ABC=3$

$A\overline{B}CD=4$

$E\overline{F}=2$

$AD=2$

Total inputs for AND gates:

$3+4+2+2=11$

There are $4$ product terms, so OR gate needs $4$ inputs.

Total gate inputs:

$11+4=15$

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