A truth table is intended to show how a logic gate’s output responds to every possible combination of its inputs. Does the statement that it shows “how the input level responds to output combinations” hold true?

Difficulty: Easy

Correct Answer: Incorrect

Explanation:

Introduction / Context:Truth tables are core to digital logic because they map input combinations to the resulting output. Misstating the direction of dependency causes conceptual errors in design and debugging.

Given Data / Assumptions:

  • Truth tables enumerate all input combinations for a function.
  • Each row lists inputs first and the corresponding output after.

Concept / Approach:The output is a function of the inputs. A valid truth table shows output for each input pattern; it does not show inputs responding to output states.

Step-by-Step Solution:1) Define the gate (e.g., AND, OR, NAND, NOR).2) List all input combinations in rows.3) Compute the output for each row by the gate’s rule.4) Conclude that the statement reversing input/output dependency is incorrect.

Verification / Alternative check:Check any standard logic text: outputs are determined by inputs, not vice versa.

Why Other Options Are Wrong:“Correct” contradicts the definition; limiting the claim to NAND or equal inputs has no basis.

Common Pitfalls:Thinking of logic in reverse causality; assuming symmetry where none exists.

Final Answer:Incorrect

More Questions from Logic Gates

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion