Which digital logic gate outputs true only when all inputs are false?

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Multiple Choice

Which digital logic gate outputs true only when all inputs are false?

Explanation:
This question tests how a NOR gate behaves. A NOR gate outputs a true value only when all its inputs are false, because it first performs OR on the inputs and then negates the result. If any input is true, OR gives true and NOR flips it to false. For example with two inputs: if both are 0, OR is 0 and NOR becomes 1; if either input is 1, OR is 1 and NOR becomes 0; if both are 1, OR is 1 and NOR becomes 0. This is exactly the condition described: true only when all inputs are false. In contrast, an AND gate gives true only when all inputs are true; an OR gate gives true if any input is true; and XOR gives true when an odd number of inputs are true.

This question tests how a NOR gate behaves. A NOR gate outputs a true value only when all its inputs are false, because it first performs OR on the inputs and then negates the result. If any input is true, OR gives true and NOR flips it to false.

For example with two inputs: if both are 0, OR is 0 and NOR becomes 1; if either input is 1, OR is 1 and NOR becomes 0; if both are 1, OR is 1 and NOR becomes 0. This is exactly the condition described: true only when all inputs are false.

In contrast, an AND gate gives true only when all inputs are true; an OR gate gives true if any input is true; and XOR gives true when an odd number of inputs are true.

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