A Half-Adder is a type of combinational logic circuit formed by connecting an XOR gate and an AND gate. It takes two binary inputs, A and B, and computes their sum and carry.
The XOR gate output represents the sum of the binary digits, while the AND gate output represents the carry. This arrangement enables the Half-Adder to perform basic binary addition operations. The Boolean functions for the circuit are expressed below:

Sum =  A ⊕ B 
Carry =  A . B