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Solution :
From the circuit :
Top AND gate gets inputs :
$$\overline{A} \text{ and } B$$
So, output of top AND gate is :
$$\overline{A}B$$
Bottom AND gate gets inputs :
$$A \text{ and } \overline{B}$$
So, output of bottom AND gate is :
$$A\overline{B}$$
These outputs are given to OR gate.
Therefore,
$$X = \overline{A}B + A\overline{B}$$
This is XOR operation.
Truth table :
| A | B | X |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
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