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Q. How many gates are required to design; $y=A+\bar{A}, B ?$ Also name the gates.

Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

$y=A+\bar{A} \cdot B =A(1+B)+\bar{A} \cdot B \quad[\because 1+B=1] $
$=A+(A+\bar{A}) B=A+1 \cdot B=A+B$
which is for OR gate
It means, $1,$ OR gate is required for the above design.