In digital logic, what are the outputs produced by a half-adder circuit?

Introduction / Context:
The half-adder is the fundamental combinational block for binary addition. It adds two single-bit operands and produces two outputs representing the result in binary form.

Given Data / Assumptions:

• Inputs: single-bit A and B.
• No carry-in (that's why it is called “half”-adder).

Concept / Approach:

The half-adder implements SUM = A ⊕ B and CARRY = A * B. Both outputs are required to represent the full addition result (sum bit and carry-out to the next stage).

Step-by-Step Solution:

Verification / Alternative check:

Compare with full-adder, which adds A, B, and Cin. A half-adder is the special case with Cin = 0.

Why Other Options Are Wrong:

• Only SUM or only CARRY is incomplete.
• DIFFERENCE and BORROW: that is a half-subtractor's outputs, not a half-adder's.

Common Pitfalls:

Confusing adder and subtractor outputs; forgetting that carry arises only when both inputs are 1.

Final Answer:

SUM and CARRY