Which of the following describes an output that is true if both inputs are false in Boolean logic?

In Boolean logic, the NAND gate operates in such a way that its output is true except when both of its inputs are true. To delve into the specifics: when we consider the output of a NAND gate, we find that it provides a true result for all input combinations except when both inputs are true.

Now, focusing on your question regarding the scenario in which both inputs are false: if both inputs to the NAND gate are false, the output will indeed be true. This matches the description of the output being true when both inputs are false.

In contrast, the other types of gates function differently. The AND gate produces a true output only when both inputs are true, the OR gate outputs true if at least one input is true, and the XOR (exclusive OR) gate outputs true only when the inputs differ (one is true and the other is false).

Thus, the true condition for both inputs being false is satisfied by the NAND gate, confirming it as the correct answer.