What is true about the output of a NAND gate?

The output of a NAND gate is a fundamental concept in digital electronics that helps define its logic. A NAND gate operates based on the principle of negation of an AND gate. It produces a false (or low) output only when both of its inputs are high. In all other situations—when both inputs are low or when one input is low and the other is high—the output will be true (or high).

The statement indicating that the output is false when any input is high captures a critical aspect of NAND gate behavior. Specifically, while an AND gate outputs true only when all inputs are high, the NAND gate inverts that logic, allowing it to output true when at least one of the inputs is low. Therefore, the key characteristic of a NAND gate—producing a false output exclusively when both inputs are high—underscores the validity of the choice provided.

In contrast, the other options present different scenarios that do not hold true for the NAND gate:

• The assertion that it is true when both inputs are low misrepresents the function, as a low-high input combination leads to a high output.

• The description claiming it is true only when both inputs are high is fundamentally incorrect, as that condition produces a false output instead