Identify AND–OR–INVERT (AOI) implementation in logic design: outputs of two or more AND gates are combined by an OR gate, and the OR output is then inverted to produce X = (sum of products)'. Decide whether this described structure qualifies as an.

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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: The described network forms product terms using AND gates. Those product terms are combined by a single OR gate. The OR output is passed through one inverter to generate the final output X. No unusual encoding or extra feedback is involved. 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: Form product terms using AND gates (e.g., AB, CD).Combine product terms with a single OR gate: S = (AB + CD + …).Invert the OR result: X = S'.Match with AOI template: AND → OR → INVERT, which is an AOI. Verification / Alternative check: Use De Morgan alternatives: AOI corresponds to a NAND–NAND structure when implemented with universal gates, reaffirming its classification. Why Other Options Are Wrong: Incorrect: Conflicts with the standard AOI definition.Depends on input encoding only: Encoding does not change the structural gate arrangement.Insufficient information: The description provides the full AOI pattern. Common Pitfalls: Confusing AOI with OAI (OR–AND–INVERT), which inverts the complement order of stages.Assuming AOI requires exactly two product terms; in practice, any number of AND terms can feed the OR. Final Answer: Correct

Identify AND–OR–INVERT (AOI) implementation in logic design: outputs of two or more AND gates are combined by an OR gate, and the OR output is then inverted to produce X = (sum of products)'. Decide whether this described structure qualifies as an AOI network.

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