What does the XOR operation output if both inputs are true?

The XOR (exclusive OR) operation is a fundamental logic gate used in computing and digital circuits. It outputs true only when the inputs differ. This means that the output is true if one input is true and the other input is false. In all other cases, including when both inputs are true, the output is false.

When both inputs to the XOR operation are true, the condition of exclusivity is not met because both values are the same. Thus, the result of the XOR operation in this situation will be false. This behavior of the XOR gate is key to its applications in various algorithms and systems, particularly in scenarios where differentiation between inputs is necessary, such as checksums, error detection, and cryptographic functions.

Understanding the logic of XOR helps clarify why the output is false when both inputs are true, allowing for a deeper grasp of how this operation can be utilized in programming and logic design.