Which logic gate has an output that is true (1) when both inputs are the same?

The logic gate that produces a true output when both inputs are the same is indeed the EQUIVALENT gate, also known as the XNOR gate. This type of gate yields a true (1) output for two conditions: when both inputs are either true (1) or both are false (0). This functionality highlights the gate's defining characteristic of equivalence, where it assesses the similarity of the input states.

For clarity, the XOR gate gives a true output only when the inputs differ, while the NOR gate provides a true output when both inputs are false. The NAND gate, conversely, outputs true for all combinations except when both inputs are true. Hence, among the options, the EQUIVALENT gate clearly distinguishes itself by only producing a true output when both inputs have the same value.