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VENUS INTERNATIONAL
COLLEGE OF TECHNOLOGY
PREPARED BY:
DISHA D. PATEL
ENROLMENT NO: 150810705004
BRANCH: COMMUNICATION SYSTEM ENGINEERING
SUBJECT: CMOS CIRCUIT DESIGN-1(2720511)
GUIDED BY:BHARGAV SIR
PROF. ANIRUDDH AMIN
HOD OF EC DEPT.
5/1/2016 CMOS 1
CONTENTS
• INTRODUCTION
• ADDER MEANS
• TYPES OF ADDERS
 HALF ADDER
 FULL ADDER
 RIPPLE CARRY ADDER
 LOOK AHEAD CARRY ADDER
 CARRY-SAVE ADDERS
25/1/2016 CMOS
INTRODUCTION
• Digital computers perform various arithmetic
operation Basic arithmetic operation is addition of
two binary digits. The first three operations produce
a sum whose length is one digit but when the last
operation is performed sum is two digits. The higher
bit is called carry. And lower bit is called sum. This
operation is called half adder. The circuit which
performs addition of three bits is a full adder.
35/1/2016 CMOS
ADDER MEANS???
• An adder is a digital circuit that performs addition of
numbers.
• In processor it is used to calculate addresses, table indices,
and similar operations.
• It can be constructed for many numerical representations,
such as binary-coded decimal or excess-3,the most
common adders operate on binary numbers.
45/1/2016 CMOS
TYPES OF ADDERS
• HALF ADDER
• FULL ADDER
• RIPPLE CARRY ADDER
• LOOK AHEAD CARRY UNIT
• CARRY-SAVE ADDERS
55/1/2016 CMOS
HALF ADDER
6
The half adder adds two single
binary digits A and B.
It has two outputs, sum (S) and carry
(C).
Sum = AB’+A’B.
Carry=A*B.
For half-adder design,
an XOR gate & an AND gate
TRUTH TABLE
5/1/2016 CMOS
FULL ADDER
7
A combinational circuit that adds 3 input bits to generate a
Sum bit and a Carry bit
Where X,Y,Z are inputs and C & S are outputs.
Sum= X+Y+Z.
Cout= XY’+YZ’+ZX’.
TRUTH TABLE
X Y Z S C
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 0
5/1/2016 CMOS
RIPPLE CARRY ADDER
8
• It is possible to create a logical circuit using
multiple full adders to add
• N-bit numbers.
• Each full adder inputs a Cin, which is the Cout of
the
• previous adder.
• This kind of adder is called a ripple-carry adder,
since
• each carry bit "ripples" to the next full adder.5/1/2016 CMOS
LOOK AHEAD CARRY UNIT
Carry Look Ahead (CLA) design is based on the
principle of looking at lower adder bits of
argument and addend if higher orders carry
generated. This adder reduces the carry delay by
reducing the number of gates through which a
carry signal must propagate . As shown in fig. in
the generation and propagation stage, the
generation values, propagation values are
computed. Internal carry generation is calculated
in second stage. And in final stage, the sum is
calculated. The flow chart of CLA is given in fig.
and the architecture of CLA is given in fig.
9
Flow chart of CLA
5/1/2016 CMOS
CARRY SAVE ADDER
• In Carry Save Adder (CSA), three bits are added parallelly at
• a time. In this scheme, the carry is not propagated through the
• stages. Instead, carry is stored in present stage, and updated as
• addend value in the next stage [2]. Hence, the delay due to the
• carry is reduced in this scheme.
10
Block Diagram of CSA
5/1/2016 CMOS
THANK YOU
115/1/2016

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Adder

  • 1. VENUS INTERNATIONAL COLLEGE OF TECHNOLOGY PREPARED BY: DISHA D. PATEL ENROLMENT NO: 150810705004 BRANCH: COMMUNICATION SYSTEM ENGINEERING SUBJECT: CMOS CIRCUIT DESIGN-1(2720511) GUIDED BY:BHARGAV SIR PROF. ANIRUDDH AMIN HOD OF EC DEPT. 5/1/2016 CMOS 1
  • 2. CONTENTS • INTRODUCTION • ADDER MEANS • TYPES OF ADDERS  HALF ADDER  FULL ADDER  RIPPLE CARRY ADDER  LOOK AHEAD CARRY ADDER  CARRY-SAVE ADDERS 25/1/2016 CMOS
  • 3. INTRODUCTION • Digital computers perform various arithmetic operation Basic arithmetic operation is addition of two binary digits. The first three operations produce a sum whose length is one digit but when the last operation is performed sum is two digits. The higher bit is called carry. And lower bit is called sum. This operation is called half adder. The circuit which performs addition of three bits is a full adder. 35/1/2016 CMOS
  • 4. ADDER MEANS??? • An adder is a digital circuit that performs addition of numbers. • In processor it is used to calculate addresses, table indices, and similar operations. • It can be constructed for many numerical representations, such as binary-coded decimal or excess-3,the most common adders operate on binary numbers. 45/1/2016 CMOS
  • 5. TYPES OF ADDERS • HALF ADDER • FULL ADDER • RIPPLE CARRY ADDER • LOOK AHEAD CARRY UNIT • CARRY-SAVE ADDERS 55/1/2016 CMOS
  • 6. HALF ADDER 6 The half adder adds two single binary digits A and B. It has two outputs, sum (S) and carry (C). Sum = AB’+A’B. Carry=A*B. For half-adder design, an XOR gate & an AND gate TRUTH TABLE 5/1/2016 CMOS
  • 7. FULL ADDER 7 A combinational circuit that adds 3 input bits to generate a Sum bit and a Carry bit Where X,Y,Z are inputs and C & S are outputs. Sum= X+Y+Z. Cout= XY’+YZ’+ZX’. TRUTH TABLE X Y Z S C 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 0 5/1/2016 CMOS
  • 8. RIPPLE CARRY ADDER 8 • It is possible to create a logical circuit using multiple full adders to add • N-bit numbers. • Each full adder inputs a Cin, which is the Cout of the • previous adder. • This kind of adder is called a ripple-carry adder, since • each carry bit "ripples" to the next full adder.5/1/2016 CMOS
  • 9. LOOK AHEAD CARRY UNIT Carry Look Ahead (CLA) design is based on the principle of looking at lower adder bits of argument and addend if higher orders carry generated. This adder reduces the carry delay by reducing the number of gates through which a carry signal must propagate . As shown in fig. in the generation and propagation stage, the generation values, propagation values are computed. Internal carry generation is calculated in second stage. And in final stage, the sum is calculated. The flow chart of CLA is given in fig. and the architecture of CLA is given in fig. 9 Flow chart of CLA 5/1/2016 CMOS
  • 10. CARRY SAVE ADDER • In Carry Save Adder (CSA), three bits are added parallelly at • a time. In this scheme, the carry is not propagated through the • stages. Instead, carry is stored in present stage, and updated as • addend value in the next stage [2]. Hence, the delay due to the • carry is reduced in this scheme. 10 Block Diagram of CSA 5/1/2016 CMOS