Which adder type produces a sum and generates a carry?

The full adder is designed to take in three inputs: two significant bits and a carry-in from a previous addition operation. It produces two outputs: a sum and a carry-out signal. This characteristic makes the full adder particularly useful in binary addition operations, particularly when working with multi-bit numbers where carries may need to be propagated.

In contrast, the half adder only takes two input bits and generates a sum and a carry, but it does not accommodate an additional carry-in. The quarter adder and half subtractor, while related to binary operations, do not generate a carry in the context of binary addition. Thus, the full adder stands out as the only option that fulfills the condition of producing both a sum and a carry in binary addition scenarios.