Which gate is described as producing a high output when only one of its inputs is high?

The gate that is defined as producing a high output when only one of its inputs is high is the Exclusive OR gate, often abbreviated as XOR. This logical operation is specifically designed to output true (or high) when an odd number of its inputs are high.

For a two-input XOR gate, this means that if one input is high and the other is low, the output will be high. Conversely, if both inputs are high or both are low, the output will be low. This characteristic makes the XOR gate particularly useful in situations where the distinction between one condition being true while another is not needs to be captured, such as in binary addition and decision-making systems in digital electronics.

In contrast, other gates mentioned do not exhibit this behavior. The NAND and NOR gates, for example, output low when their conditions of being exclusively high or low are met, while the AND gate produces a high output only when both inputs are high. Therefore, it is clear that the Exclusive OR gate fulfills the specific criteria of producing a high output under the given condition.