If a 3-variable function has minterm $m_5$, its corresponding algebraic expression in variables $A, B, C$ is:

Subject: Digital Logic Systems

Topic: Digital Logic Systems Unit 2: Minimization Techniques

Options:

1. Option A: $A B' C$
2. Option B: $A' B C$
3. Option C: $A B C'$
4. Option D: $A' B' C$

Correct Answer:

Option A: $A B' C$

Explanation:

$5_{10} = 101_2$. For minterms, a $1$ corresponds to uncomplemented variable, and $0$ to complemented. Thus, $A=1 \rightarrow A$, $B=0 \rightarrow B'$, $C=1 \rightarrow C$. The expression is $A B' C$.