Question

The following logic gate circuit in equivalent to an

• A. NAND
• B. OR
• C. XOR
• D. NOT

Answer 1

The correct option is C XOR

The inputs are $A$ and $B$.

After going to $G_1$, $OR$ gate, the output is $A+B$

After going to $G_2$, $NAND$ gate, the output is $\overline{A.B}$

In the $G_3$, the inputs are $A+B$ & $\overline{A.B}$. Hence, the output will be $(A+B).\left(\overline{A.B}\right)$.

After doing the Boolean Algebra we can get the output truth-table as follows-

$0,1,1,0$

This is the truth table of $XOR$ gate.