Concept:
A half adder adds two binary bits and produces two outputs: Sum and Carry.
Step 1: The Sum output is \(1\) when inputs are different.
This is XOR operation:
\[
S=A\oplus B
\]
Step 2: The Carry output is \(1\) only when both inputs are \(1\).
This is AND operation:
\[
C=AB
\]
Therefore:
\[
\boxed{A\oplus B,\ AB}
\]