Truth table reasoning for multi-input logic: an AND gate has 7 inputs. Which single input pattern produces a logic-1 at the output?

Introduction / Context:AND gates output logic-1 only when all inputs are logic-1. With increasing inputs, the condition for a 1 output becomes more restrictive. This question reinforces the AND truth condition for a 7-input case.

Given Data / Assumptions:

• Gate type: AND.
• Number of inputs: 7 (each input is 0 or 1).
• No inversion or additional logic is present.

Concept / Approach:For an AND gate, output = 1 only if input_1 * input_2 * … * input_7 = 1. In binary logic, multiplication corresponds to logical AND; any 0 forces the product to 0.

Step-by-Step Solution:

Verification / Alternative check:Any pattern containing at least one 0 yields 0 at the output by AND logic definition.

Why Other Options Are Wrong:

Common Pitfalls:Confusing AND with OR; OR outputs 1 if any input is 1, but AND requires all be 1.

Final Answer:1111111