What does a NOR gate output when both of its inputs are false?

A NOR gate is a digital logic gate that outputs true only when all its inputs are false. In the context of Boolean algebra, "true" is typically represented by a value of 1, and "false" is represented by a value of 0. The operation of a NOR gate can be described with the following logic:

• If both inputs are false (0, 0), the output of the NOR gate is true (1).

• If one or both inputs are true (1), the output is false (0).

Therefore, when both inputs of a NOR gate are false, the output is indeed true, confirming that the correct response is false. The understanding of logic gates is crucial as they serve as the foundational building blocks of digital circuits, and NOR gates are particularly significant because they can be used to create any other type of logic gate, making them versatile in circuit design.

Consequently, in situations where a NOR gate is evaluated, acknowledging that both inputs being false leads to a true output is pivotal, emphasizing the logical flow of a NOR operation. This reinforces the fundamental principles surrounding digital logic design.