GO Classes Test Series 2023 | Digital Logic | Test 2 | Question: 17

Answer 1

for Half Adder $\Rightarrow$ Sum $X=A$ xor $B, \quad$ Carry $C=A B$
for half Subtractor $\Rightarrow$ Difference $Y=A$ xor $B$, Borrow $D=A ' B$
So, $(X$ xor $Y)=0$ and $(C$ xnor $D)=B^{\prime}$

Comments

CxnorD=(AB)’A’B +(AB)(A’B)’
            =(A’+B’)A’B +(AB)(A+B’)
            =(A’B+AB)
            =B(A’+A)
            =B

sir, I think the answer will be A