Which logic gate provides an active high output when both inputs are active high?

The AND logic gate provides an active high output only when both of its inputs are high (active). In digital circuits, an active high output means that the output signal is in a high voltage state, typically representing a binary '1'.

When using the AND gate, if both inputs are provided with a high signal (or voltage), the gate performs its function by signaling the output as high as well. In other words, for an AND gate to produce a high output, it requires that both A and B inputs be high simultaneously. If either or both of the inputs are low (inactive), the output remains low.

The AND gate's operation is fundamental in digital logic design, as it can be used to implement various functions in circuits where specific conditions must be met before allowing a signal to proceed to the output. The other gates listed operate under different principles: the OR gate outputs high if at least one input is high, the NAND gate outputs low only if both inputs are high, and the XOR gate outputs high only if one input is high, but not both. Thus, the AND gate is the correct answer as it meets the criteria specified in the question.