Difficulty: Easy
Correct Answer: 000000
Explanation:
Introduction / Context:
OR gates produce a logic 1 when any input is 1. The only time an OR gate outputs 0 is when every input is 0. This property generalizes regardless of the number of inputs (2, 4, 6, or more).
Given Data / Assumptions:
Concept / Approach:
The Boolean expression for an OR gate is Y = A + B + C + D + E + F. Y equals 0 only if A=B=C=D=E=F=0; any single 1 makes Y=1. This aligns with the inclusive definition of the OR operator.
Step-by-Step Solution:
Verification / Alternative check:
Truth tables for OR confirm a single 0-output row where all inputs are 0; all other rows output 1.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing OR with NOR or assuming exclusive OR semantics; mixing up active-high vs active-low conventions.
Final Answer:
000000
Discussion & Comments