Classify the Boolean form of the expression AB + CD in terms of canonical implementation styles used in programmable logic.

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:

• Expression: AB + CD.
• We need to categorize it by canonical form, not by device type.

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