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Inverter behavior check: Evaluate the statement: “Applying a LOW to the input of an inverter produces a HIGH at its output.”

Difficulty: Easy

Correct
Incorrect
Only true for Schmitt-trigger inverters
Not enough information is provided

Correct Answer: Correct

Explanation:

Introduction / Context:
An inverter (NOT gate) is the simplest logic element that produces the logical complement of its input. Understanding its basic truth table is crucial to reading and designing digital circuits.

Given Data / Assumptions:

Input levels: LOW (0) and HIGH (1) in positive logic.
Device: ideal inverter with defined thresholds.
No analog edge cases (metastability) considered.

Concept / Approach:
The inverter truth table is: input 0 → output 1; input 1 → output 0. Therefore, a LOW input yields a HIGH output, exactly as the statement claims.

Step-by-Step Solution:

Identify gate: NOT (inverter).Apply rule: output = complement(input).Input LOW (0) → complement is HIGH (1).

Verification / Alternative check:
Check with Boolean expression: X = Ā. For A = 0, Ā = 1, confirming the behavior.

Why Other Options Are Wrong:

Incorrect: Directly contradicts the inverter definition.Only true for Schmitt-trigger inverters: Schmitt devices change threshold behavior, not the logical function.Not enough information: Gate type and logic levels are sufficient.

Common Pitfalls:
Confusing active-LOW indicators with logical inversion; misinterpreting symbols with bubbles on inputs/outputs.

Inverter behavior check: Evaluate the statement: “Applying a LOW to the input of an inverter produces a HIGH at its output.”

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