Write the truth table for the circuit given in the figure below,which consists of $NOR$ gates,and identify the logic operation $(OR, AND, NOT)$ that this circuit performs.

(N/A) Let $A$ and $B$ be the inputs of the given circuit. The output of the first $NOR$ gate is $\overline{A+B}$.
It can be observed from the figure that the output of the first $NOR$ gate acts as the input for both terminals of the second $NOR$ gate.
Therefore,the final output $Y$ is given by:
$Y = \overline{(\overline{A+B}) + (\overline{A+B})}$
Using the Boolean identity $\overline{X+X} = \overline{X}$,we get:
$Y = \overline{(\overline{A+B})} = A+B$
The truth table for this operation is:

$A$	$B$	$Y (= A + B)$
$0$	$0$	$0$
$0$	$1$	$1$
$1$	$0$	$1$
$1$	$1$	$1$

This is the truth table of an $OR$ gate. Hence,this circuit functions as an $OR$ gate.