If $F(A,B,C) = \sum m(1, 3, 5, 7)$, then its POS form is:

Subject: Digital Logic Systems

Topic: Digital Logic Systems Unit 2: Minimization Techniques

Options:

1. Option A: $\prod M(0, 2, 4, 6)$
2. Option B: $\prod M(1, 3, 5, 7)$
3. Option C: $\sum m(0, 2, 4, 6)$
4. Option D: $\prod M(1, 2, 4, 6)$

Correct Answer:

Option A: $\prod M(0, 2, 4, 6)$

Explanation:

A function's POS representation contains the maxterms corresponding to the index positions missing from its SOP representation: $\{0, 1, 2, 3, 4, 5, 6, 7\} \setminus \{1, 3, 5, 7\} = \{0, 2, 4, 6\}$. Hence, $\prod M(0, 2, 4, 6)$.