Difficulty: Easy
Correct Answer: SOP
Explanation:
Introduction / Context:
Two common canonical Boolean forms are sum-of-products (SOP) and product-of-sums (POS). Recognizing which form a given expression belongs to helps you map it to specific hardware resources in PLDs and CPLDs.
Given Data / Assumptions:
Concept / Approach:
In SOP, multiple product terms (ANDs of literals) are ORed together. In POS, multiple sum terms (ORs of literals) are ANDed together. AB and CD are products (ANDs). Joining them with + indicates a sum (OR) of those products. Therefore, AB + CD is SOP.
Step-by-Step Solution:
Identify each term: AB (A*B) is a product; CD (C*D) is a product.Combine via + → OR of product terms.Conclude: AB + CD is a sum-of-products (SOP).
Verification / Alternative check:
Truth-table or Karnaugh-map implementations naturally produce SOP minimizations where each implicant corresponds to a product term ORed together.
Why Other Options Are Wrong:
PAL and GAL are device types, not Boolean forms. POS would look like (A + B)(C + D), not AB + CD.
Common Pitfalls:
Confusing hardware acronyms with algebraic forms; forgetting that the + symbol represents OR while adjacency represents AND.
Final Answer:
SOP
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