When will the XOR gate output true?

The XOR (exclusive OR) gate outputs true only when the inputs are different from each other. This means that if one input is true (high) and the other is false (low), the output will be true. Conversely, if both inputs are the same, whether both high or both low, the output will be false.

In a scenario where one input is high (true) and the other input is low (false), the XOR gate produces a true output, which reflects its operation of exclusively responding to unequal inputs. This characteristic is what distinguishes the XOR gate from other logical gates, such as the OR gate, which outputs true when at least one input is true, regardless of whether the other input is true or false.

The essence of the XOR operation is to compare the inputs and result in true only when there is a disparity between them, reinforcing the idea that it's built to recognize differences rather than similarities in its input signals.