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The following circuit represents

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Output of upper AND gate $=\overline{\mathrm{A}} \mathrm{B}$
Output of lower AND gate $=A \bar{B}$
$\therefore$ Output of OR gate, $\mathrm{Y}=\mathrm{A} \overline{\mathrm{B}}+\mathrm{B} \overline{\mathrm{A}}$
This is boolean expression for XOR gate.
Output of lower AND gate $=A \bar{B}$
$\therefore$ Output of OR gate, $\mathrm{Y}=\mathrm{A} \overline{\mathrm{B}}+\mathrm{B} \overline{\mathrm{A}}$
This is boolean expression for XOR gate.
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