Physics - Semiconductors Question with Solution | TestHub

Given $A\oplus B=A\bar{B}+\bar{A}B$

Evaluating the first expression:

$1\oplus A=1\cdot \bar{A}+\bar{1}\cdot A=\bar{A}+0=\bar{A}$

Evaluating the second expression:

$A\oplus A=A\cdot \bar{A}+\bar{A}\cdot A=0+0=0$

Evaluating the third expression:

$0\oplus A=0\cdot \bar{A}+\bar{0}\cdot A=0+1\cdot A=A$

Evaluating the fourth expression:

$A\oplus \bar{A}=A\cdot \overline{\bar{A}}+\bar{A}\cdot \bar{A}=A\cdot A+\bar{A}=A+\bar{A}=1$

The first, second, and fourth expressions are correct.

Answer: $1\oplus A=\bar{A}$; $A\oplus A=0$; $A\oplus \bar{A}=1$