Question

The output of the given logic circuit is:

• A. $A\overline{B}+\overline{A}B$
• B. $AB+\overline{AB}$
• C. $A\overline{B}$
• D. $\overline{A}B$

Answer 1

The correct option is C $A\overline{B}$


$Y=\overline{(\overline{A}+\overline{B})\overline{A}}=\overline{\overline{A}+\overline{A}B}=\overline{A\left(\overline{A}B\right)}=A(A+\overline{B})$

$=A+A\overline{B}=A\overline{B}$

So, option $\left(D\right)$ is the correct answer.