Delay Optimized Full Adder Design for High Speed VLSI Applications

International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 03 | Mar -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2195
Delay Optimized Full Adder Design for High Speed VLSI Applications
Tincy Charles1 , Mohammed Salih K K2
1 Mtech Scholar, Department of ECE, GECI, Kerala, India
2 Assistant Professor, Department of ECE, GECI, Kerala, India
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Abstract - The most widely used arithmetic operation in
digital applications is addition. Full adder is the most
important building block in digital signal processors and
controllers as it is used in arithmetic logic circuit(ALU) , in the
floating point unit and in case of cache or memory access
address generation. As density of IC chip increases, power
consumption also increases. Hence low power designs is the
primary requirement in the VLSI field. Reducing delay of a
digital circuit is an important topic in logic design for efficient
implementation of adder. In this paper a hybrid CMOS full
adder circuit designed using both transmission gate and
complementary metal oxide semiconductor(CMOS) is
implemented and a modified version of this full adder is
proposed. Design was implemented using Cadence Virtuoso
Tools in 180nm and 90nm technology. Then comparison is
done against these full adders in terms of power, speed and
power delay product.
Key Words: CMOS,TG, Power Delay Product
1.INTRODUCTION
Adders are one of the major components in digital
systems, as they are widely used in basic digital operations
such as division, multiplication and subtraction.As addition
forms the basis of many binary operations,addercircuitsare
of great interest in digital design. Deep submicron CMOS
technologies are used to explain the challenging criteria of
the emerging high-speed and low-power communication IC
chips. Analyzing any digital system, we can see addition is a
basic operation.
A heuristic approach, known as hybrid adder models is
proposed to save power at low transistor sizes.A wide
variety of adder circuits have been proposed in literature,
with the purpose to fulfill the various area, power and
speedsrequirementsofimplementations[3].Designersmove
their attention to design an efficient full-adder, which
operates with the minimum power consumption and high
speed. Power dissipation depends upon the switching
activity, wire capacitances, node capacitances and control
circuit size.
Full adders can be classified into static and dynamic full
adders. Static full adders are reliable, require less powerbut
on the cost of area[2]. While dynamic full adders have high
speed operation, high driving capability, low power, low
input capacitance and but power dissipation due to higher
switching activities and they require N+2 transistors for N
input logic function instead of 2N transistors required by
standard adder as they use onlyNMOStransistorsanddueto
absence of PMOS input capacitance is lower butdynamicfull
adder suffer from complexity, charge sharing and high
power requirement due to high switching so a hybrid logic
style will embed the both static and dynamicfull adderto get
better results.
2. REVIEW OF VARIOUS LOGIC STYLES
Static CMOS logic style is known for its better power
efficiency,high noise margin,no static power dissipation.It is
more robust for transistor sizing and voltage scaling[4].The
disadvantages include higher delay and large
capacitance[3].Various static logic styles include Pseudo-
NMOS logic,Transmission logic,Pass Transistor logic etc.
Pseudo-NMOS logic style adder replace the pull-up block
with single PMOS transistor thus reducing the number of
gates. Thus it reduces the capacitance and improves the
speed. The Rand asymmetrical noise margin.Transmission-
Gate(TG) Full Adder uses XOR gate.It acts as a high-quality
switch with low capacitance and resistance[5],[6].It is one of
the members of the ratio less logic family as the DC
characteristics are independent of the input levels.
Complementary Pass Transistor Logic (CPL) adder
implements logic functions with NMOS-only.Its advantages
include differential inputs/outputs,circuit modularity and
simplicity[7]. It can be efficiently realized with smallnumber
of transistors. The disadvantages of CPL is reduced higher
static power consumption and noise margin. Double Pass
Transistor Logic (DPL) adder is a modified version of CPL
that is suitable for low-voltage application[7].DPL has
balanced input capacitances, therefore reducing the
dependence of the delay on the input data. DPL also provides
fulllogic swing due to the use of PMOS gates aswellasNMOS,
and the dual current driving ability of DPL compensates for
the additional PMOS gates [5]. The disadvantages of DPL is

the higher number of transistors, hence higher area and
higher power dissipation.
Dynamic Logic Style uses a sequence of evaluation and
precharging phases to realize complex logic functions in a
single PMOS pull-up network or NMOS pull-down,hencethis
requires less transistors and also has no static power
consumption. The reduced overall capacitance results in
significantly improvement in thespeed.Thedisadvantagesof
dynamic logic is the high dynamic power dissipation due to
clock switching. The dynamic logic has clock skew and
charge-sharingproblems.Variousdynamiclogicstyleinclude
NP-CMOS,Domino and True Single-Phase Clocked Logic
(TSPCL). The C2MOS latched NP-CMOS (also called NORA-
CMOS) can be used in the effective implementation of
pipelined circuits.
3. EXISTING FULL ADDER IMPLEMENTATION
The full adder schematic is divided into three modules.
Module 1 and module 2 represent the XNOR module and
Module 3 represents the transmission gate module which
produces Cout signal [1].
The XNOR module with 6 transistors is designed to
minimize the power with avoiding voltage degradation
possibility. The power consumption is reduced by the use of
weak inverter (small channel width transistors) formed by
transistors Mp1 and Mn1. The level restoring transistors
Mp3 and Mn3 is responsible for full swing of the levels of
output signals.The circuit diagramforthefull adderisshown
in fig:1.
The output carry signal is implemented by the transistors
Mp7,Mp8,Mn7 and Mn8. The input carry signal (C) reduces
the overall carry propagation path significantly by
propagating only through a single transmission gate (Mn7
and Mp7). The use of strong transmission gates (large
channel width transistors Mn7, Mp7, Mn8, and Mp8 )
guaranteed further reduction in propagation delay of the
carry signal.
Fig-1: Circuit diagram of full adder[1]
The inverter formed by transistors Mp1 and Mn1 generate
B’. This is used to design the controlled inverter using the
transistor pair Mp2 and Mn2. Output of this controlled
inverter is basically the XNOR of A and B. This suffers from
some voltage degradation problem, and thiscanbe removed
using two pass transistors Mp3 and Mn3.PMOS transistors
(Mp4, Mp5, and Mp6) and NMOS transistors (Mn4, Mn5,and
Mn6) realize the second stage XNOR module which
implement the SUM. Analyzing the full adder truth table, the
condition for Cout generation has been deducted as follows:
If A = B, then Cout = B; else Cout = C
4. PROPOSED FULL ADDER
The proposed full adder circuit consist of only 14
transistors and is represented by three modules. Here the
transistors are reduced from 16 in the existing design to 14
transistors.The block diagram of the proposed full adder
circuit is shown in fig:2. Module 1 represents fully restored
CMOS XOR-XNOR cell and module 2 represent XOR module
which generate SUM signal. Module 3 represent TG module
which generate Cout signal.
Fig-2: Block Diagram of Modified Full Adder
The schematic of proposed full adder is shown in
fig:3.Module 1 is based on the cross coupledPMOSstructure,
but it also uses the cross coupled NMOS structure to
produce the complement.Thesestructuresdonotprovidean
output for A = B = 0 and A = B = 1, respectively, which
instead is provided by the feedback MOSFETs (Mn1 and
Mp3). The feedback also eliminates the threshold voltage
loss associated with the structure[10-11].
Only six transistors are needed to realize this circuit and
the use of inverter is eliminated. The feedback will lowerthe
maximal operatingfrequencyandrequiretheMOSFETstobe
ratioed when compared with the other XOR gates. To
properly ratio the MOSFETs, the design effort increases.The
threshold voltage drop is completely eliminated from both
the outputs ,due to the regenerative feedback introduced by
the pull-down (nMOS) and the pull-up (PMOS) transistors,
thereby providing the full voltageswing.Theoperationofthe
above circuit must be restricted to supply voltages above

2|Vtp|.The sizing of the feedback transistors must be
carefully done for proper functioning of the circuit under
various operating conditions.
Fig-3: Schematic of Proposed Full Adder
The SUM module is designed to minimizethepowerto best
possible extend.This module is the transmission function
implementation of XOR gate.The inputs to this module are
driven by the outputs of first module(H and H’).The
speciality of this design is its lowest average power
consumption since it does not use any power or ground rails
ie, absence of short circuit current.But the drawback is that
the SUM signals are not capable to drive bigger loads.They
have outstanding power delay product.
The third module is implemented using transmission gate
logic as in fig:1[4].This is basically a multiplexer which
passes either A(or B) or C, according to the value of H.The
input signals A and C provides the driving power for Cout
signal, since either of inputs will pass.Thisdesignisnormally
used where a latch or buffer follows the output of adder cell
to avoid lacking power of Cout signal.
5. SIMULATION RESULTS
The full adder design in fig:1 was implemented in 180nm
and 90nm by using Cadence Virtuoso software.Then the
transient analysis is obtained as in fig:8.
Fig-4: Implementation of Full Adder
The power consumption of hybrid full adders can be
classified into static powerconsumptionanddynamicpower
consumption. Static power consumption is caused from
leakage and biasing currents[5-7] in most of CMOS based
circuit implementations. Mostly this is lower that the
dynamic power consumption. Dynamic power consumption
arises because of charging and discharging of load
capacitances.For 180-nmtechnology,circuitoperatedat1.8V
the total power consumption was found to be 7.598µW and
for 90-nm technology,it was found to be 2.861μW.
Fig-5: Transient Analysis of Full Adder
The delay was found to be 27.99ps for 180nm and 3.232ps
for 90nm technology.The four bit and eight bit extension of
full adder as shown in fig:6 and fig:8 were alsoimplemented
and power and delay are compared.
Fig-6: 4-Bit Extension of Full Adder
Fig-7: 8-Bit Extension of Full Adder
The modified full adder is implemented in fig:8.It is found
that the average power consumption was found to be
9.058µW in 180-nm technology.This reduction in power
consumption is mainly due to absence of leakage

currents.The delay was reduced significantly to 8.438psdue
to the incorporation of fully restored swing logic.The
simulation results were compared in Table:1.
Fig-8: Implementation of Proposed Full Adder
Table -1: Comparison Results of Full Adders
Chart -1: Bar Diagram Representation of Simulation Results
6.CONCLUSION
In this paper, a hybrid full adder is implementedin180nm
and 90nm.Both the existing and proposed designs were
simulated using Cadence Virtuoso tools.It is found that the
propogation delay is reduced by the use of strong
transmission gates(long channel width transistors) and by
incorporation of fully restored swing logic and is foundto be
8.438ps.The PDP of both designs are measured and it is
observed to be minimum in the case of the proposed
design. The area of the proposed design is also reduced
when compared in terms of transistors against the existing
architecture.
REFERENCES
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Delay Optimized Full Adder Design for High Speed VLSI Applications

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Delay Optimized Full Adder Design for High Speed VLSI Applications