Difficulty: Easy
Correct Answer: AND gate
Explanation:
Introduction / Context:
Selecting the correct logic gate is a foundational skill in digital design. This question targets recognition of the gate whose output immediately drops LOW if any input is LOW.
Given Data / Assumptions:
Concept / Approach:
The AND gate is defined by Y = A * B * C * … . In Boolean algebra, the product is 1 only if every factor equals 1. Consequently, if any input is 0, the product becomes 0 and the output is LOW. This directly matches the description.
Step-by-Step Solution:
Write the Boolean function: Y = A1 * A2 * … * An.Consider any single input Ai = 0: Y = 0 * (rest) = 0.Thus, for any input at 0, the output is forced LOW.Therefore, the described gate behavior belongs to AND.
Verification / Alternative check:
Truth table for a 2-input AND shows outputs 1 only for (1,1); all other combinations with a 0 produce 0. Extending to more inputs preserves this rule.
Why Other Options Are Wrong:
OR gate: outputs 1 if any input is 1; contradicts the prompt.NOT gate: single-input inverter; behavior not described by multiple inputs.NAND gate: outputs LOW only when all inputs are 1; not when any input is 0.
Common Pitfalls:
Confusing NAND with AND because both are related; remember NAND is the complement of AND and is HIGH whenever any input is 0.
Final Answer:
AND gate
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