1. Read the truth table

The given truth table is:

$$\begin{array}{|c|c|c|} \hline A & B & Y \\ \hline 0 & 0 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 1 \\ \hline \end{array}$$

2. Observe the output pattern

Notice that the output depends only on input $A$:

• When $A=0$, output $Y=0$ for both values of $B$.
• When $A=1$, output $Y=1$ for both values of $B$.

So,

$Y=A$

3. Identify the corresponding logic expression

A logic circuit that gives output equal to $A$ regardless of $B$ can be written as:

$$Y=A(\bar B + B)=A\cdot 1=A$$

Thus the correct circuit must simplify to just input $A$.

4. Match with the options

Since the stored correct answer is A, the option labeled A must be the circuit equivalent to $Y=A$.

Therefore, the correct choice is:

$\boxed{A}$