To obtain the given truth table, following logic gate should be placed at G :

From the circuit:

• The first AND gate receives inputs $A'$ (NOT $A$) and $B$.
• The second AND gate receives inputs $A$ and $B'$ (NOT $B$).

Thus:

• The output of the first AND gate is $A' \cdot B$,
• The output of the second AND gate is $A \cdot B'$.

Let's say G is NOR gate.

These two outputs are then fed into the NOR gate $G$, which performs:

$Y=\left(\overline{A^{\text{'}}\cdot B+A\cdot B^{\text{'}}}\right)$

Truth Table Derivation

Now, calculate the values step by step: