AND gate output evaluation: Given a 3-input AND gate with inputs A = 1, B = 0, C = 1, determine whether the output will be LOW. Assess the statement.

Question

Solve this multiple-choice question and choose the correct option.

Accepted Answer

Introduction / Context:Multi-input AND gates implement logical multiplication across all inputs. Only when every input is 1 does the output become 1. A single 0 forces the output to 0, irrespective of the other inputs. Given Data / Assumptions: Gate: 3-input AND. Inputs: A = 1, B = 0, C = 1. Output labeled as “LOW” corresponds to logic 0. Concept / Approach:The expression for the output X is X = ABC. Substitute the given input values and evaluate the product to determine if the output is 0 (LOW) or 1 (HIGH). Step-by-Step Solution: Start with X = A * B * C.Substitute: X = 1 * 0 * 1.Compute: 1 * 0 = 0; 0 * 1 = 0 → X = 0 (LOW). Verification / Alternative check:Truth rule: If any input of an AND gate is 0, the output must be 0. Here B = 0, so X = 0 despite A and C being 1. Why Other Options Are Wrong: Incorrect: Contradicts AND behavior.“Majority are HIGH”: AND does not use majority logic; it requires all HIGH.Not enough information: Gate and inputs fully determine the output. Common Pitfalls:Confusing AND with majority or voting logic; assuming two highs outvote one low. Final Answer:Correct

AND gate output evaluation: Given a 3-input AND gate with inputs A = 1, B = 0, C = 1, determine whether the output will be LOW. Assess the statement.

More Questions from Describing Logic Circuits

Discussion & Comments