In the logic circuit shown in the figure.  Then output Y will be if inputs are 

$\left(A=1, B=0\right) and \left(A=0,B=1\right)$ respectively  are

 $$\begin{gathered} the output of the circuit is \\ \overline{\overline{\left(A+\overline{B}\right)} \overline{( \overline{A} \overline{B)}}} \\ =\overline{\left(\overline{A} B \right) \left(A+B\right) }=\stackrel{\rightharpoonup }{(\overline{A} B})+\overline{A+B} \\ =A+\overline{B}+\overline{A} \overline{B}=A+\overline{B}\left(1+\overline{A}\right)=A+\overline{B} \\ A=1 and B=0 output is 1 \\ A=0 and B=1 output is 0 \end{gathered}$$