what is full adder

A full adder is a digital circuit that adds three inputs and produces two outputs. It is commonly used in arithmetic logic units in computers and other processors. The first two inputs are A and B, and the third input is an input carry (Cin). The outputs are the sum (S) and the output carry (Cout). A full adder can be implemented using various logic gates and is an essential component in the addition of binary numbers. It can be used to add multi-bit numbers by cascading multiple full adders together. The truth table of a full adder shows the relationship between the inputs and outputs, and it can be used to perform addition and multiplication of binary numbers. Full adders are also used in arithmetic circuits, data processing, and various critical digital circuits like multiplexers and ALUs (arithmetic logic units) of CPUs. They are designed to operate at higher speeds and are an integral part of digital electronic circuits