Difficulty: Easy
Correct Answer: AB + CD
Explanation:
Introduction / Context:
Recognizing canonical forms helps in mapping logic to gates or programmable devices. In sum-of-products (SOP), we OR together multiple product terms; in product-of-sums (POS), we AND together multiple sum terms. Identifying SOP vs POS at a glance is a key skill for logic design and optimization.
Given Data / Assumptions:
Concept / Approach:
An SOP expression has the structure term1 + term2 + … where each term is a product of literals (e.g., AB, A'B'C). By contrast, POS has the structure (sum1)(sum2)…, where each sum is in parentheses with ORs inside. Complex nestings can be re-expressed, but here we focus on surface form.
Step-by-Step Solution:
Verification / Alternative check:
To implement AB + CD in gates: two AND gates feeding a single OR gate, which is the typical SOP structure. This confirms its classification as SOP.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
AB + CD
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