Classification of a NAND gate: Determine whether a NAND gate is considered a combinational logic element (i.e., its output depends only on the current inputs and not on past history).
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ACorrect
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BIncorrect
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COnly true at low frequency
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DDepends on power supply sequencing
Answer
Correct Answer: Correct
Explanation
Introduction / Context: Digital circuits are broadly classified as combinational or sequential. Combinational circuits compute outputs directly from present inputs, while sequential circuits have memory of past states (via feedback, latches, or flip-flops). Knowing where basic gates fit is foundational.
Given Data / Assumptions:
- NAND gate with no internal storage elements is considered.
- Ideal logic abstraction is used.
- No external feedback paths are included unless explicitly added by the designer.
Concept / Approach: A single NAND gate performs the function Y = NOT(A · B). This is a pure Boolean mapping from the current values of A and B to Y. There is no dependence on previous values of A or B, nor is there an internal state element that stores information across time.
Step-by-Step Solution:
Identify gate type: two-input NAND.Write its Boolean function: Y = NOT(A · B).Observe lack of feedback or memory: Y is determined instantaneously by A and B (subject to propagation delay).Conclude it is combinational.Verification / Alternative check: Compare with a latch or flip-flop, where outputs depend on past events (clocking, set/reset). A bare NAND lacks such mechanisms, confirming the classification.
Why Other Options Are Wrong: “Incorrect” would imply NAND is sequential, which it is not. Claims about frequency or power sequencing conflate practical effects with functional classification.
Common Pitfalls: Confusing propagation delay with memory; assuming that because NAND can build latches (when cross-coupled), a single NAND is itself sequential. Only when arranged with feedback does sequential behavior emerge.
Final Answer: Correct