Difficulty: Easy
Correct Answer: 1111111
Explanation:
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:
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
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