To achieve a high output from an exclusive OR gate with more than two inputs, what is required?

In an exclusive OR (XOR) gate, the fundamental principle is that it produces a high output when an odd number of its inputs are high. This characteristic stems from the logic of XOR, which checks for an imbalance in the number of high inputs.

When you have two inputs in an XOR gate, a high output occurs if either input is high, but not both. Extending this to a scenario where there are more than two inputs, for the output to remain high, there needs to be an odd count of high inputs. For example, with three inputs, the gate will give a high output if either one or all three inputs are high, but not if two are high (which would lead to an even count).

Thus, to maintain a high output from an exclusive OR gate with multiple inputs, it is imperative to have an odd number of the inputs set to high. This makes it clear that the choice highlighting the need for only an odd number of high inputs accurately captures the operational nature of the XOR gate.