If an exclusive OR gate is connected to a NOR gate with a high output, what must the inputs A and B at the Exclusive OR gate be?

To determine the necessary inputs A and B for the Exclusive OR gate when connected to a NOR gate with a high output, it's important to understand the logic functions involved.

A NOR gate outputs high only if both of its inputs are low. Thus, if the output of the NOR gate is high, we know for certain that both of its inputs must be low.

Now consider the behavior of the Exclusive OR gate. This gate outputs high only when the inputs are different (i.e., one is high and the other is low). Therefore, if both inputs to the Exclusive OR gate (A and B) are low, the output will be neither high nor low—it will be low.

However, the critical aspect is the connection between the NOR gate and the Exclusive OR gate in this scenario. For the output of the NOR gate (which is high) to influence the state needed of A and B at the Exclusive OR, we must satisfy the situation that leads to this high state.

If the output of the NOR gate is high, both of its inputs must indeed be low. This means A and B must be set to low as well since there should be no opposite logic conditions applied in the overall circuit leading to a contradiction.

Given this relationship