The document discusses half adders and full adders. A half adder performs addition of two bits and has two inputs and two outputs - the sum and carry. A full adder performs addition of three bits, taking two input bits and the previous carry as input, and outputting the sum and new carry. It uses XOR and AND gates. Full adders are used as components in cascading adders to add binary numbers with multiple bits.

1. HALF ADDER AND FULL
ADDER
By: Rohan Kaushik
161310109051
Rohit Chawda
161310109052

2. ADDERS
An adder is a digital logic circuit in electronics that implements addition of
numbers. In many computers and other types of processors, adders are
used to calculate addresses, similar operations and table indices in the
ALU and also in other parts of the processors. These can be built for
many numerical representations like excess-3 or binary coded decimal
Half adder
 It performs the addition of two bits
Full adder
 It performs the addition of three bits

3. HALF-ADDER
Half Adder: is a combinational circuit that
performs the addition of two bits, this circuit
needs two binary inputs and two binary outputs.
The simplified Boolean
function from the truth
table:
Where S is the sum and C is the carry.
(Using XOR and AND Gates)

4. The simplified Boolean
function from the truth
table:
Where S is the sum and C is the carry.
(Using XOR and AND Gates)

5. FULL-ADDER
Full Adder is a combinational circuit that performs the addition of
three bits (two significant bits and previous carry).
It consists of three inputs and two outputs, two inputs are the bits to
be added, the third input represents the carry form the previous
position.
The full adder is usually a component in a cascade of adders, which
add 8, 16, etc, binary numbers.

6. THE OUTPUT IS EQUAL TO 1 WHEN ONLY ONE INPUT IS
EQUAL TO 1 OR WHEN ALL THREE INPUTS ARE EQUAL TO 1.
THE OUTPUT HAS A CARRY 1 IF TWO OR THREE INPUTS ARE
EQUAL TO 1