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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
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)?
Solution
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: $(1,0,0)$, $(1,0,1)$, $(0,1,1)$.
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