The logic relation is given by $Y = \bar{A} \cdot B + A \cdot \bar{B}$. Construct this gate using $AND$,$OR$,and $NOT$ gates.

(N/A) The expression $Y = \bar{A} \cdot B + A \cdot \bar{B}$ represents the $XOR$ (Exclusive $OR$) logic operation.
To construct this using basic gates:
$1$. Use two $NOT$ gates to obtain the complements $\bar{A}$ and $\bar{B}$ from inputs $A$ and $B$.
$2$. Use two $AND$ gates: the first $AND$ gate takes inputs $\bar{A}$ and $B$ to produce $\bar{A} \cdot B$. The second $AND$ gate takes inputs $A$ and $\bar{B}$ to produce $A \cdot \bar{B}$.
$3$. Use one $OR$ gate to combine the outputs of the two $AND$ gates,resulting in $Y = \bar{A} \cdot B + A \cdot \bar{B}$.