Half and full adders are combinational logic circuits, but they are different for input processing. Any combinational circuit does not have a memory unit but comes with logic gates. There is a main difference between a half and a full adder. Hald Adder just added the current input singlebit number and did not focus on previous inputs. While Full Adder has a feature to carry current input to output from previous. Here we will cover the differences between the halfadder and fulladder circuits and their truth table. So let’s get started.
What is a halfadder?
A halfadder is a combinational logic circuit. It can be made by linking one AND gate and one EXOR gate. The halfadder circuit has two inputs, normally X and Y. These two inputs are added and give output in the form of carry and sum. So it means it has two outputs as well.
The output we get from the EXOR gate is the addition of both inputs. The output from the AND gate is carried. So it is not possible to send the carry that got in one addition in another addition. Since there is no logic gate for procprocessing, t is called the halfadder circuit. The equation of output from both gates in the form of a logical operation is written and performed by logic gates.
Half Adder Logical Equation
Sum (S) = X + Y
Carry (C) = X . Y
Half Adder Truth Table
X  Y  Z (Output)  S (output) 

0  0  0  0 
1  0  0  1 
0  1  0  1 
1  1  1  0 
What is Full Adder?
The full adder circuit comes with two AND gates, two EXOR gates, and one OR gate. The full adder added 3 binary digits. In these three, one is the carry that we get from the previous addition as ZIN, and the other is the two inputs X and Y. It denoted the input carry as ZOUT and the normal output as S, which is SUM. Like the half adder, the full adder is a combinational logic circuit; it does not have a storage component. But it comes with extra logic gates. So it added the previous carry to produce the complete output. So it is known as a full adder.
Full adders can also be made with a combination of OR gat and two half adders. The OR gate produces carry what it gets after addition. We get a sum of these digits as output from the secondhalf adder. The equation for output that we can get through the EXOR gate is the sum of all binary digits.
Full Adder logical Equation
CARRYOUT = XY + YZin + XZin
SUM = (X + Y) + Zin
Full Adder Truth Table
The full Adder Truth table is shown here
Inputs  Outputs  

X  Y  C_{in}  S (Sum)  Z_{out} (Carry) 
0  0  0  0  0 
0  0  1  1  0 
0  1  0  1  0 
0  1  1  0  1 
1  0  0  1  0 
1  0  1  0  1 
1  1  0  0  1 
1  1  1  1  1 
Difference Between Half Adder and Full Adder
Features  Half Adder  Full Adder 
Definition  a halfadder combinational logic circuit that added two onebit binary digits. It produces carry and the sum of inputs.  It is combinational logic that adds three onebit binary digits for addition. It produces the sum of three inputs with a carrying value. 
Previous Carry Addition  This circuit does not add the carry from the previous addition to the next.  This circuit, with its current inputs X and Y, added the previous carry. 
Hardware  It comes with an AND gate and an EXOR gate.  It has one OR gate and two EXOR and AND gates. 
Inputs  It has two inputs, X and Y.  It has three inputs, X, X. and Zin. 
Uses 
It is used for digital calculation in calculators, computers, etc. 
It is used for the addition of different bits and digital processors. 
Logical Equation 
Z = X * Y S = X + Y 
Zout = (XY) +CinX +CinY S =X ⊕ Y ⊕ Cin 
Half Adder and Full Adder Circuit
Here we can see The Half Adder Circuit
The basic disadvantage of this circuitry is that it adds two inputs and if an answer is carried it will not considered. So it does not have a complete process. For covering this feature full adder is made. That is used for complex addition, where a larger number of bits.
Full adder circuit diagram
The full adder circuit diagram is made here
With the use of this circuit, we can add two bits, get them from the next lower order, and send them to the next higher order of magnitude. In a computer for multibit operation, every bit should be denoted with a full adder and should be added at the same time. So for the addition of two 8bit numbers, eight full addresses are required, which can be made by cascading two of the 4bit blocks.
Advantages of the Half Adder in Digital Logic
 The halfadder is easy to make and needs just simple components like XOR and AND. It is not difficult to carry out and can be used in different projects.
 Its working speed is high, making it best to use in highspeed computerized circuits.
Disadvantage
 It can add two numbers, generate a total, and convey a bit. It does not do expansion of many numbers that need the use of additionally completed circuits like a full adder.
 It does not have a function to add a carry bit from the addition of previous results.
 It is used to add multiple bits.
 It is not used for cascading multibit additions.
Application of the Half Adder in Digital Logic
 is used in number crunching circuits for the addition of double numbers. So if different halfadders are connected in the series, they can add multibit double numbers.
 It is used for handling data, such as computerized signal processing and data encryption.
 It is used for addressing and deciphering circuits to generate the location of certain memory areas.
 It is used as an encoder and decoder for circuits.
 It is also part of multiplexers and demultiplexers.

Advantages and Disadvantages of Full Adder in Digital Logic
Advantages of Full Adder in Digital Logic
 It can add 3 bits to make it flexible, then a half adder. It is used to add many numbers with a combination of different fulladder circuits.
 It is used to carry input that helps with the expansion of many bits and the sequence of different adders with each other.
 It operates at high speed, making it the best choice for fast computer functions.
Disadvantages of Full Adder in Digital Logic:
 its circuit is completed, then half adder since it needed more XOR, AND,
 It comes with a proliferation delay, which is the time taken from the result to adjust the data. It can result in time problems in computerized circuits, especially in highspeed frameworks.
Application of Full Adder in Digital Logic:
 It is used for math circuits to add two numbers. It can make multiplebit paired numbers.
 Full adders are used in data handling circuits such as advanced signal handling, data encryption, and error rectification.
 It is used in the counter for addition or reducing the count by one.
 Full adders are used in multiplexers and demultiplexers for choosing and data courses.
 Full adders are used in memory addressing circuits to generate the location of certain memory units.
 It is part of the ALUs used in chip and computerized signal processors.
 It is also used in the GPU (Graphical Processing Unit).
Read Also:
 What is Ferranti Effect in Power Transmission Lines?
 Wire Ampacity Charts
 What is the meaning of a THHN wire insulation code?
 What 18 Gauge Wire Used For?