Gate identification by requirement: “If both inputs must be ON (logic 1) for the output to be ON, which gate is described?” Determine whether the assertion correctly identifies an AND gate.

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Being able to translate verbal behavior into a gate name enables quick schematic reading and functional reasoning. The classic description “output is 1 only when all inputs are 1” is the textbook definition of AND, used throughout digital design from enable signals to address decoding.


Given Data / Assumptions:

  • Two-input gates in positive logic.
  • “ON” corresponds to logic 1.
  • We ignore electrical nuances like thresholds and timing.


Concept / Approach:
AND implements multiplication of logic variables: Y = A * B. The output is high only for A=1 and B=1. For any input being 0, the product is 0. This matches the verbal requirement exactly and identifies the AND function unambiguously.


Step-by-Step Solution:

Write truth table: 00→0, 01→0, 10→0, 11→1.Interpret “both inputs must be 1”: only the 11 row produces 1.Map to gate: this is AND.Therefore, the assertion is correct.


Verification / Alternative check:
Boolean algebra: Y = A * B. De Morgan’s complement is NAND = (A * B)′, which flips the output for 11 only. This dual view reinforces the identification of AND from the verbal rule.


Why Other Options Are Wrong:

  • Incorrect: Conflicts with the canonical definition.
  • Negative logic / Schmitt / delay: Logic polarity, hysteresis, or timing do not change the truth table of AND.


Common Pitfalls:
Confusing AND with OR (which is true for 11, 10, and 01). Remember: AND requires all inputs asserted; OR requires any input asserted.


Final Answer:
Correct

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