The question refers to an "above circuit", but the actual circuit diagram is not provided in the prompt.

Without the circuit, the values of $X$ and $Y$ in the truth table cannot be derived uniquely, because they depend entirely on the logic-gate arrangement.

Step 1: What is missing?

To determine $X$ and $Y$, we need the logic circuit or the incomplete truth table. Neither is shown here.

Step 2: Can we still solve it from the given data?

No. The options are:

• A: $1,1$
• B: $0,1$
• C: $1,0$
• D: $0,0$

But with no circuit, there is no valid way to infer which pair is correct.

Step 3: Comparison with stored answer

The stored correct answer is A, i.e. $X=1, Y=1$.

Since the necessary circuit diagram is absent, I cannot independently verify that result from first principles.

Therefore, I cannot honestly derive agreement from the information provided alone. If the missing circuit were supplied, I could solve it step-by-step and verify whether $X=1, Y=1$ is correct.