What is the output of a NOR gate when both inputs are false?

A NOR gate performs a logical operation that yields true only when both of its inputs are false. In the case where both inputs are false (often represented as 0), the output of the NOR gate is true, which is commonly represented as 1. This characteristic defines the fundamental behavior of the NOR gate in digital logic.

Recognizing this, it's crucial to understand that a NOR gate essentially combines the functions of an OR gate followed by a NOT gate. The OR gate outputs true if at least one input is true; however, the NOT gate inverts that output. Therefore, if both inputs are false, the OR gate would output false, and following that through the NOT operation results in a true output for the NOR gate.

This clear definition and functioning highlight why the correct answer is true when both inputs are false.