The Boolean equation for the circuit given in the figure is

$A$ truth table is given below. Which of the following logic gates corresponds to this truth table?
$A: 0, 1, 0, 1$
$B: 0, 0, 1, 1$
$Y: 1, 0, 0, 0$

You are given two circuits as shown in the figure,which consist of $NAND$ gates. Identify the logic operation carried out by the two circuits.

The circuit shown here can be used as a logic gate. The logic gate is

In a digital circuit for three input signals $(A, B, \text{ and } C)$, the final output $(Y)$ should be such that for inputs:
| $A$ | $B$ | $C$ |
|---|---|---|
| $0$ | $0$ | $0$ |
| $0$ | $0$ | $1$ |
| $0$ | $1$ | $0$ |
the output $(Y)$ should be $0$, and for all other cases, it should be $1$. Which of the following digital circuits will give such output?