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By 
T.Mounika
Introduction 
 Arithmetic operations like addition, subtraction, 
multiplication, division are basic operations to be 
implemented in digital computers using basic gates like 
AND, OR, NOR, NAND etc. 
 Among all the arithmetic operations if we can implement 
addition then it is easy to perform multiplication (by 
repeated addition), subtraction (by negating one operand) 
or division (repeated subtraction).
Binary addition is a fundamental operation in most digital 
circuits 
There are a variety of adders, each has certain 
performance. 
Each type of adder is selected depending on where the 
adder is to be used. 
Ripple carry adder is suitable for small bit applications
Basic adder circuit 
A combinational circuit that adds two bits is called a half 
adder 
A full adder is one that adds three bits 
Full Adder 
sum 
3 inputs carry
Truth Table of fulladder 
Input 
A 
Input 
B 
Input 
C 
sum 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
Ripple carry adder 
The ripple carry adder is constructed by cascading full 
adder blocks in series 
The carryout of one stage is fed directly to the carry-in of 
the next stage 
For an n-bit ripple adder, it requires n full adders
Block diagram of 4 bit ripple adder
Truth table of ripple carry adder 
A1 A2 A3 A4 B4 B3 B2 B1 S4 S3 S2 S1 carry 
0 0 0 0 0 0 0 0 0 0 0 0 0 
0 1 0 0 0 1 0 0 1 0 0 0 0 
1 0 0 0 1 0 0 0 0 0 0 0 1 
1 0 1 0 1 0 1 0 0 1 0 0 1 
1 1 0 0 1 1 0 0 1 0 0 0 1 
1 1 1 0 1 1 1 0 1 1 0 0 1 
1 1 1 1 1 1 1 1 1 1 1 0 1
DSCH SCHEMATIC
LAYOUT
Advantages 
We can add two n-bit numbers easily 
It is advantageous for less number of bit operations
Ripple adder

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Ripple adder

  • 2. Introduction  Arithmetic operations like addition, subtraction, multiplication, division are basic operations to be implemented in digital computers using basic gates like AND, OR, NOR, NAND etc.  Among all the arithmetic operations if we can implement addition then it is easy to perform multiplication (by repeated addition), subtraction (by negating one operand) or division (repeated subtraction).
  • 3. Binary addition is a fundamental operation in most digital circuits There are a variety of adders, each has certain performance. Each type of adder is selected depending on where the adder is to be used. Ripple carry adder is suitable for small bit applications
  • 4. Basic adder circuit A combinational circuit that adds two bits is called a half adder A full adder is one that adds three bits Full Adder sum 3 inputs carry
  • 5. Truth Table of fulladder Input A Input B Input C sum 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
  • 6. Ripple carry adder The ripple carry adder is constructed by cascading full adder blocks in series The carryout of one stage is fed directly to the carry-in of the next stage For an n-bit ripple adder, it requires n full adders
  • 7. Block diagram of 4 bit ripple adder
  • 8. Truth table of ripple carry adder A1 A2 A3 A4 B4 B3 B2 B1 S4 S3 S2 S1 carry 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1
  • 10.
  • 12. Advantages We can add two n-bit numbers easily It is advantageous for less number of bit operations