Which logic gate would you use to check if two binary inputs are the same?

To determine whether two binary inputs are the same, the XNOR gate is the appropriate choice. An XNOR gate (exclusive NOR) outputs a true value (1) only when both of its inputs are identical. This means if both inputs are 0 or both are 1, the output will be high. If the inputs differ, the output will be low (0). This behavior accurately fulfills the requirement of checking for equality between the two binary inputs.

In contrast, an AND gate requires both inputs to be true to produce a true output, focusing more on the conjunction of inputs rather than their equality. Similarly, an OR gate outputs true if at least one input is true, which does not correspond to checking for sameness. Lastly, a XOR gate (exclusive OR) would output true when the inputs differ, which is the opposite of what is needed when checking if two inputs are the same. Therefore, the XNOR gate is clearly the suitable choice for this task.