What type of gate performs a logical operation where the output is true only if exactly one input is true?

The type of gate that performs a logical operation where the output is true only if exactly one input is true is the exclusive OR (XOR) gate. The XOR gate works by comparing its inputs: if one input is true (1) and the other is false (0), the output will be true (1). However, if both inputs are true or both are false, the output will be false (0). This characteristic of the XOR gate makes it uniquely suited for situations where the distinction between one true and one false input is significant, reflecting the concept of exclusivity in logical operations.

The other gates do not have this behavior. The NOR gate outputs true only when both inputs are false, while the AND gate requires all inputs to be true to provide a true output. The OR gate only requires one input to be true for the output to be true, thus not maintaining the exclusive condition needed for the output to be true only when exactly one input is true.