Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction / Context:
AND–OR–INVERT (AOI) logic is a standard gate-level realization used in digital electronics and integrated circuit libraries. It constructs a function as a sum of products using an AND stage feeding an OR stage, followed by a final inversion. Recognizing the structural pattern helps in technology mapping, reading schematics, and simplifying expressions efficiently.
Given Data / Assumptions:
Concept / Approach:
By definition, AOI implements X = (AB + CD + …)' where the inner portion is the OR of multiple ANDed terms and the final apostrophe denotes inversion. This is directly the complement of a sum-of-products, often convenient because many logic families and standard cells provide highly optimized AOI and OAI gates to reduce area and delay.
Step-by-Step Solution:
Verification / Alternative check:
Why Other Options Are Wrong:
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Discussion & Comments