Given the Boolean expression $ (A \oplus B) \land (B \to C), $  which of the following rows in the truth table would have an output of $1$ (True)?

We have $ (A \oplus B) \land (B \to C) = (A \oplus B)\land(\lnot B \lor C)$.

• If $B=0$: $(\lnot B \lor C)=1$ always, so output $=A\oplus 0=A$. Hence rows with $A=1$ work: $(A,B,C)=(1,0,0)$ and $(1,0,1)$.
• If $B=1$: need $C=1$ (for $B\to C$) and $A\oplus 1=1\Rightarrow A=0$. Hence $(A,B,C)=(0,1,1)$.

Rows with output 1: $(1,0,0)$, $(1,0,1)$, $(0,1,1)$.