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:
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:
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:
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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