Final answer:
The NOR gate has the exact inverse output of the OR gate for all input combinations, as it combines the OR function with a NOT gate, outputting true only when all inputs are false.
Step-by-step explanation:
The gate that produces the exact inverse output of the OR gate for all possible input combinations is the NOR gate. In digital electronics, an OR gate will output a true value (1) when any one or more of its inputs are true. On the contrary, a NOR gate, which is essentially an OR gate followed by a NOT gate, will output a false value (0) for these same conditions. The NOR gate will only output a true value when all of its inputs are false, thus producing the inverse output of the OR gate.