JEE Physics 2025 Question with Solution

Given: A logic-gate circuit with inputs $A$ and $B$ is shown.

Find: Which truth table matches the output $Y$.

The circuit uses AND and NOT gates. An AND gate gives output $1$ only when both its inputs are $1$, and a NOT gate inverts the input.

From the circuit, the output values are:

• For $A = 0$ and $B = 0$, $Y = 0$.
• For $A = 0$ and $B = 1$, $Y = 1$.
• For $A = 1$ and $B = 0$, $Y = 1$.
• For $A = 1$ and $B = 1$, $Y = 0$.

So the truth table is:

This matches option A.

Therefore, the correct option is A.

Given: The inputs $A$ and $B$ pass through NOT gates and then through AND gates before a final OR gate.

Find: The corresponding truth table for $Y$.

Check each input combination row by row using the gate outputs:

1. If $A = 0$ and $B = 0$, the final output becomes $0$.
2. If $A = 0$ and $B = 1$, the final output becomes $1$.
3. If $A = 1$ and $B = 0$, the final output becomes $1$.
4. If $A = 1$ and $B = 1$, the final output becomes $0$.

Hence, the output pattern is $0, 1, 1, 0$ for the input order $00, 01, 10, 11$.

This exactly matches the truth table shown in option A.

Therefore, the correct option is A.