True or False: For the XOR gate to be true, both inputs cannot match.

The statement is true. An XOR (exclusive OR) gate outputs a true (or high) signal only when the inputs are different. This means that for the XOR gate to yield a true result, it is essential that both inputs do not match. If both inputs are the same—either both true or both false—the output will be false (or low).

In practical terms, consider the two possible states of the inputs:

1. If both inputs are true (1, 1), the output is false (0).
2. If both inputs are false (0, 0), the output is also false (0).
3. If one input is true and the other is false (1, 0 or 0, 1), the output is true (1).

Therefore, the fundamental nature of the XOR operation is that it requires the inputs to differ for a true outcome. This makes the original assertion accurate, and thus the answer is indeed true.