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).

Difficulty: Easy

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

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