Difficulty: Easy
Correct Answer: M0
Explanation:
Introduction / Context:
Canonical Product-of-Maxterms (ΠM) expresses a logic function as the product (AND) of maxterms. Each maxterm corresponds to a specific input combination where the function is zero.
Given Data / Assumptions:
Concept / Approach:
Maxterm Mi is formed by ORing each variable in true or complemented form such that the term evaluates to 0 for the i-th input combination. For i = 0 → (A, B, C) = (0, 0, 0), the maxterm is A + B + C.
Step-by-Step Solution:
Verification / Alternative check:
Enumerate the 3-variable maxterms: M0 = A + B + C, M1 = A + B + C', etc. Standard tables confirm this mapping.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing minterms with maxterms, or mixing up literal complementation rules between SOP and POS canonical forms.
Final Answer:
M0
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