The Boolean expression for 'XOR' gate $C=(A \oplus B)$ is equal to

The Boolean expression for 'XOR' gate $C=(A \oplus B)$ is equal to
  1. $(\mathrm{A} \cdot \mathrm{B})+(\overline{\mathrm{A}} \cdot \overline{\mathrm{B}})$
  2. $\mathrm{A}+(\overline{\mathrm{A}} \cdot \overline{\mathrm{B}})$
  3. $(\mathrm{A} \cdot \mathrm{B})+\overline{\mathrm{B}}$
  4. $(\overline{\mathrm{A}} \cdot \mathrm{B})+(\mathrm{A} \cdot \overline{\mathrm{B}})$

Solution

The Boolean expression of \(X O R\) gate is \(y=A \oplus B=\bar{A} \cdot B+A \cdot \bar{B}\)

Asked in: MHT CET 2024 (03 May Shift 2)

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