What logic function requires that at least one input is true for a true output?

The logic function that requires at least one input to be true for the output to also be true is indeed the OR function. In logical terms, the OR function produces a true output if at least one of its operands is true. This means that if you have multiple inputs, as long as one of them is true (either individually or in combination with others), the overall output will be true. For example, if you have two inputs, A and B, the expression A OR B will yield true if either A is true, B is true, or both A and B are true.

This characteristic distinguishes the OR function from other logic functions. For instance, the AND function requires all inputs to be true for a true output, and the NOR function produces true only when all inputs are false. The XOR function requires exactly one input to be true for a true output, making its requirement different from that of the OR function. Therefore, the OR function's defining trait is its inclusivity, allowing for a true condition with a minimum of one true input.