Question

The logic gate equivalent to the given logic circuit is-

• A. $\text{NAND}$
• B. $\text{NOR}$
• C. $\text{AND}$
• D. $\text{OR}$

Answer 1

The correct option is D $\text{OR}$

From, De Morgan's theorem

$Y=\overline{\overline{A}\cdot \overline{B}}=\overline{\overline{A+B}}=A+B=\text{OR gate}$

Truth table for the given circuit as follows,

$A$	$B$	$\overline{A}$	$\overline{B}$	$\overline{\overline{A}.\overline{B}}$
$0$	$0$	$1$	$1$	$0$
$0$	$1$	$1$	$0$	$1$
$1$	$0$	$0$	$1$	$1$
$1$	$1$	$0$	$0$	$1$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(B\right)$ is the correct answer.