Half? Adder
A Half-adder circuit operates with two binary inputs and produces two binary outputs. The input variables represent the augend and addend bits, while the output variables provide the sum and the carry. The behavior of a half-adder can be understood by constructing a truth table. Here's the truth table for a half-adder:
The two inputs are labeled 'x' and 'y', while the outputs are designated as S (Sum) and C (Carry).
The Carry output remains '0' unless both inputs are 1.
'S' represents the lowest significant bit of the sum.
The simplified Sum of Products (SOP) expressions are:
S = x'y + xy', C = xy.
The logic diagram for a half-adder circuit can be depicted as follows:
