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?
Correct Answer: Incorrect
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