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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1097
Fin FET Two Bit Comparator for Low Voltage, Low Power, High Speed
and Low Area in 18nm Technology
Sudhakar Alluri1, B. Rajendra Naik2, N.S.S. REDDY3, M. Venkata Ramanaiah4
1,4Department of ECE, CMRIT, JNTUH, Hyderabad, India
2,3Department of ECE, UCE, Osmania University, Hyderabad, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Two-bit magnitude comparatorstylevictimization
totally different logic designs is planned during this
temporary. Comparison is most elementary mathematical
operation that determines if one range is largerthan, equalto,
or but the opposite range. Comparator is most elementary
part that performs comparison operation. This temporary
presents comparison between totally different logic designs
wont to style 2-Bit magnitude comparator. Comparison
between totally different styles is calculated by simulation
that's performed at 18nm technology in cadence EDA Tool. It
is observed from the Table 3, Proposed Fin FET Two Bit
Comparator, We have reduced Dynamic Power 90%, Leakage
Power Reduced 87%, Delay reduced 73% and Area Reduced
60% using Cadence 18nm Technology.
Key Words: Fin FET Bit Comparator, high speed, low power
and Low area, VLSI, DSP.
1. INTRODUCTION
There are unit 2 sources of power consumption in CMOS
particularly dynamic and run. The dynamic power
consumption in CMOS could be a quadratic operate of the
availability voltage (VDD) and therefore the run power is its
mathematical function[1].Hence,themosteffectivethanksto
cut back the facility consumption is thru VDD scaling. the
acute case of VDD scaling is that the sub-threshold regime
during which it's scaled below the threshold voltage (Vth) to
attain extremist low power (ULP) consumption. The run
current is employed as a driving current in sub-threshold
circuits and thus, they are used just for low outturn
applications[2]. Moreover, in sub-threshold region,
exponential I-V characteristics makes devicealotofsensitive
to method, voltage, and temperature variations. Hence, to
increase the appliance domain of sub-threshold region,
there's a requirement to deal with the speed and strength
problems. This thesis explores different techniques to
enhance the performance and strength of sub-threshold
circuits and interconnects in order that they will even be
utilized for moderate outturn applications[3]. It conjointly
investigates techniques to reinforce the performance and
robustness of sub-threshold FPGA inorderthatitwillreplace
the overpriced and rigid ASICs for reconfigurable ULP
applications.
In this work is designed as pursue category II today
Literature survey on Fin FET 4:1 Multiplexer Category III
today the methodology for Fin FET 4:1 Multiplexer and also
discussed the High speed, low power and low area. Category
IV shows the simulation results and they are explained
clearly, after the work is concluded with category V.
2. LITERATURE SURVEY
A continuous scaling in VLSI technology with each method
generation causes Associatein Nursing exponential increase
in power dissipation that imposes a elementary limitation to
increasing performance andpracticalityinhighperformance
microprocessors. escape power has become thus vital that it
can't be neglected[4]. The appearance of computationally
advanced moveable devices and developments in wireless
communications additionally demand a discount of power
dissipation while not sacrificing abundant performance[5].
This provides the motivation to explore power reduction
techniques in CMOS VLSI circuits. Historically, dynamic
change power has been the dominant component of total
power consumption.[6] Dynamic power may be quadratic
ally reduced by lowering the provision voltage. Loweringthe
provision voltage reducesthecircuitspeedthankstoreduced
junction transistor drain currents. Hence, threshold voltages
square measure scaled all the way down to cut back the
degradation in speed caused by provide voltage scaling.
However, subjection in Vt thresholdvoltagecausesAssociate
in Nursing expanding developmentinsubjunctioncurrentor
sub thresholdescapecurrents[7].Hence,astechnologyscales
down, escape currents tend to dominate the overall power
consumed by CMOS circuits. Therefore, energy economical
circuit techniques aimed toward lowering escape square
measureextremely fascinating. This providesthemotivation
to style digital circuits that have reduced escape with
optimum performance. Also, stable and reliable operation of
CMOS circuits gets degraded thanks to reduction in noise
margin with lowered provide voltages and multiplied
leakage[8]. Hence,noisemarginsofthecircuitsaremeasured.
The initial phases of analysisand developmenteffortsinVLSI
design were familiarized towards achieving high speed and
miniaturization. At present, the growing trends in
transportable computing and wireless applications demand
the necessity to hunt out new technologies and style circuits
that consumelowpower[9].Thisnecessitatesthenecessityto
orient the research towards reducing power dissipation in
VLSI circuits. Recent trends within the growth and
development of battery powered portable and mobile
computing devices necessitate the necessity for extended
battery life and thence lesser battery power
consumption[10]. The battery life is more reduced by the
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1098
employment of high speed processorsandhugerecollections
in them. Also, the magnitude of power dissipation per unit
space within the integrated circuits of gift day
microprocessors and recollections square measure chop-
chop increasing due to the accumulated speed and
flexibility[11]. This worsens the matter of warmth removal
and cooling (Kaushik Roy 2000). Also, these high power
densitiesreducechipdependabilityandanticipation,increase
cooling pricesandwillevencauseenvironmentalproblemsin
giant knowledge centers. escape power is additionally
increasing with technology scaling and can't be neglected. of
these factors demand the necessity for value effective
solutions to power problems; else improvements in chip
technology can reach a standstill[12].
3. DESIGN METHODOLOGIES
3.1 BIT MAGNITUDE COMPARATOR
Two -Bit Magnitude Comparator Compares two numbers
each having two bits(A1, A0 & B1, B0). For this arrangement
truth table [5] has four inputs & six teen entries as in Table 1.
Table1:Truth table of 2bit magnitude
comparator.
3.2 Karnaugh Mapping
K-Map is used to minimize Boolean function obtained from
truth table [5].
For A>B
For A=B
For A<B
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1099
Figure 1. Logic Diagram of 2-Bit Magnitude Comparator
3.3 Power Dissipation
Low power circuit style has appear as a dominant theme
in today’s industry. within the past, major issues among
researchers and designers for planning integrated circuits
were on space, speed, and cost; whereas secondary
importance was paid to power dissipation.
ddStaticStatic vIP * [1]
fvcP ddLDynamic *** 2
 [2]
vIP SCitShortcircu * [3]
)*( DGSddLeakage IIIVP  [4]
LeakageDynamicTotal PPP  [5]
)*()***( 2
DGSddddlTotal IIIVfvcP   [6]
Where  is a transient (time) response, Lc is a load
capacitance (charging or discharging), Vdd equal voltage, f
equal frequency.
4. Simulation Results
Figure 2: Fin FET Two bit comparator Schematic
diagram.
It is observed from the Figure 2, The phvt and nhvt
transistors schematic diagram consist of Fin Pitch are 48nm,
Load capacitance is 10fF, at supply voltage from 1Volts.
Conventional of Fin FET Two bit comparator Schematic
diagram was carried out using Cadence 18nm technology.
Figure 3: Fin FET Two bit comparator Output
Waveform at 10MHz.
As shown in figure 3 Fin FET Two bit comparator Output
Waveform simulation result of output waveform at 1Volts at
the frequency 10MHz in 18nm technology.
Table 2: Fin FET Two bit comparator nhvt & Phvt
Specifications
Specification
nh
vt
phvt
Library name
gp
dk (ff)
gpdk
(ff)
Fin pitch
48
nM
48nM
Drawn Gate Length 18 18
Number of Fins per 2 2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1100
Finger
Number of Finger 1 1
Multiplier 1 1
Load Capacitance 10 fF
Table 3: Simulation Results for Fin FET Two bit
comparator with 1 V supply in 18nm Technology
Design
Voltag
e (V)
Dynami
c
power
(µW)
Leakag
e
power
(nW)
Delay
(nS)
Area
(nm2
)
Convention
al
1 7.77 100.7 2.911
180.8
4
Proposed 0.5 0.7 12.71
0.775
1
72.16
It is observed from the Table 3. Proposed Fin FET Two bit
comparator, We havereducedDynamicPower90%,Leakage
Power Reduced 87% , Delayreduced73%and AreaReduced
60% using Cadence 18nm Technology.
Figure 4: Comparison of dynamic power and voltage
scaling Two bit comparator in 18nm Technology.
It is observed from the Figure 4, We have reduced Dynamic
Power 90%.
Figure 5: Comparison of Leakage power and voltage
scaling
It is observed from the Figure 5, We have reduced Leakage
Power 87%.
Figure 6: Comparison of delay and voltage scaling .
It is observed from the Figure 6, We have reduced Delay
Power 73%.
Figure7: Comparison of area and voltage scaling
It is observed from the Figure7,WehavereducedAreaPower
60%.
Figure8: Comparison of Conventional and Proposed Fin
FET two bit comparator in terms of power ,delay and area
at voltage scaling in 18nm technology
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1101
It is observed from the figure 8, Proposed Fin FET Two bit
comparator, We havereducedDynamicPower90%,Leakage
Power Reduced 87% , Delayreduced73%and AreaReduced
60% using Cadence 18nm Technology.
5. CONCLUSION
Two-bit magnitude comparator style victimization totally
different logic designs is planned during this temporary.
Comparison is most elementarymathematicaloperationthat
determines if one range is larger than, equal to, or but the
opposite range. Comparator is most elementary part that
performs comparison operation. This temporary presents
comparison between totally different logic designs wont to
style 2-Bit magnitude comparator. Comparison between
totally different styles is calculated by simulation that's
performed at 18nm technology in cadence EDA Tool. It is
observed from the Table 3, Proposed Fin FET Two Bit
Comparator,WehavereducedDynamicPower90%,Leakage
Power Reduced 87% , Delayreduced73%and AreaReduced
60% using Cadence 18nm Technology.
REFERENCES
[1] B. Keerthi Priya ; R. Manoj Kumar,"A new low power area
efficient 2bit magnitude comparator using modified GDI
technique in cadence 45nm technology", 2016 International
Conference on Advanced Communication Control and
Computing Technologies (ICACCCT),Year: 2016 Page s: 30 -
34,IEEE Conferences.
[2]. S. Kang and Y. Leblebici “CMOS Digital IntegratedCircuit,
Analysis and Design” (Tata McGraw-Hill, 3rd Ed, 2003).
[3]. A. Bellaouar and Mohamed I. Elmasry“LowPowerDigital
VLSI Design: Circuits and Systems” (Kluwer Academic
Publishers, 2nd Ed, 1995).
[4]. Anantha P. Chandrakasan and Robert W. Brodersen,
“Minimizing Power Consumption in CMOS circuits”.
Department of EECS, University of California at Barkeley,
http://bwrc.eecs.berkeley.edu/php/pubs/pubs.php/418/pa
per.fm.pdf, pp.1-64.
[5]. S. Salivahanan and S. Arivazhagan “Digital Circuits and
Design” (2nd Ed, 2004).
[6]. Dinesh Sharma, Microelectronics group, EE Department
IIT Bombay, “Logic Design”,
http://www.ee.iitb.ac.in/~smdp/DKStutorials/logic-
notes.pdf, pp.1-34.
[7]. N. Weste and K. Eshraghian “Principles of CMOS VLSI
Design: A system Perspective” (Addison- Wesley, 2nd Ed,
1993).
[8]. John P. Uyemura “Introduction to VLSI Circuit and
Systems”(JohnWileyIndia,ISBN:978-81-265-0915-7,2002).
[9]. R. Zimmermann and W. Fichtner, “Low Power Logic
Styles: CMOS Versus Pass Transistor Logic” IEEE Journal of
Solid State Circuits, Vol.32, No.7, pp1079-1090, July 1997.
[10] S. Cotofana, C. Lageweg, S. Vassilidis, “Addition Related
Arithmetic Operations via Controlled Transport of Charge”,
IEEE Trans. On Computers, Vol. 54(3), pp. 243-256, March
2005.
[11] ChirstophWasshuber, “SIMON – A simulator for single-
electron tunnel devices and circuits”, IEEE Trans. On
computer aided design of integrated circuits and systems,
Vol. 16(9), pp. 937-944, 1997.
[12] C. Wasshuber, H. Kosina,S.Selberherr,“Asingle-electron
device and circuit simulator”, Superlattices and
Microstructures, Vol. 21, pp. 37–42,
[13] Anbarasu Paulthurai, Balamurugan Dharmaraj “Single
Electron 2-Bit Multiplier”, International Journal of Computer
Applications Volume 42– No.4, March 2012
[14] Anjuli, Satyajit Anand “2-Bit Magnitude Comparator
Design Using Different Logic Styles”, International Journal of
Engineering Science Invention Volume 2 Issue 1 PP.13-24,
January. 2013

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IRJET- Fin FET Two Bit Comparator for Low Voltage, Low Power, High Speed and Low Area in 18nm Technology

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1097 Fin FET Two Bit Comparator for Low Voltage, Low Power, High Speed and Low Area in 18nm Technology Sudhakar Alluri1, B. Rajendra Naik2, N.S.S. REDDY3, M. Venkata Ramanaiah4 1,4Department of ECE, CMRIT, JNTUH, Hyderabad, India 2,3Department of ECE, UCE, Osmania University, Hyderabad, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Two-bit magnitude comparatorstylevictimization totally different logic designs is planned during this temporary. Comparison is most elementary mathematical operation that determines if one range is largerthan, equalto, or but the opposite range. Comparator is most elementary part that performs comparison operation. This temporary presents comparison between totally different logic designs wont to style 2-Bit magnitude comparator. Comparison between totally different styles is calculated by simulation that's performed at 18nm technology in cadence EDA Tool. It is observed from the Table 3, Proposed Fin FET Two Bit Comparator, We have reduced Dynamic Power 90%, Leakage Power Reduced 87%, Delay reduced 73% and Area Reduced 60% using Cadence 18nm Technology. Key Words: Fin FET Bit Comparator, high speed, low power and Low area, VLSI, DSP. 1. INTRODUCTION There are unit 2 sources of power consumption in CMOS particularly dynamic and run. The dynamic power consumption in CMOS could be a quadratic operate of the availability voltage (VDD) and therefore the run power is its mathematical function[1].Hence,themosteffectivethanksto cut back the facility consumption is thru VDD scaling. the acute case of VDD scaling is that the sub-threshold regime during which it's scaled below the threshold voltage (Vth) to attain extremist low power (ULP) consumption. The run current is employed as a driving current in sub-threshold circuits and thus, they are used just for low outturn applications[2]. Moreover, in sub-threshold region, exponential I-V characteristics makes devicealotofsensitive to method, voltage, and temperature variations. Hence, to increase the appliance domain of sub-threshold region, there's a requirement to deal with the speed and strength problems. This thesis explores different techniques to enhance the performance and strength of sub-threshold circuits and interconnects in order that they will even be utilized for moderate outturn applications[3]. It conjointly investigates techniques to reinforce the performance and robustness of sub-threshold FPGA inorderthatitwillreplace the overpriced and rigid ASICs for reconfigurable ULP applications. In this work is designed as pursue category II today Literature survey on Fin FET 4:1 Multiplexer Category III today the methodology for Fin FET 4:1 Multiplexer and also discussed the High speed, low power and low area. Category IV shows the simulation results and they are explained clearly, after the work is concluded with category V. 2. LITERATURE SURVEY A continuous scaling in VLSI technology with each method generation causes Associatein Nursing exponential increase in power dissipation that imposes a elementary limitation to increasing performance andpracticalityinhighperformance microprocessors. escape power has become thus vital that it can't be neglected[4]. The appearance of computationally advanced moveable devices and developments in wireless communications additionally demand a discount of power dissipation while not sacrificing abundant performance[5]. This provides the motivation to explore power reduction techniques in CMOS VLSI circuits. Historically, dynamic change power has been the dominant component of total power consumption.[6] Dynamic power may be quadratic ally reduced by lowering the provision voltage. Loweringthe provision voltage reducesthecircuitspeedthankstoreduced junction transistor drain currents. Hence, threshold voltages square measure scaled all the way down to cut back the degradation in speed caused by provide voltage scaling. However, subjection in Vt thresholdvoltagecausesAssociate in Nursing expanding developmentinsubjunctioncurrentor sub thresholdescapecurrents[7].Hence,astechnologyscales down, escape currents tend to dominate the overall power consumed by CMOS circuits. Therefore, energy economical circuit techniques aimed toward lowering escape square measureextremely fascinating. This providesthemotivation to style digital circuits that have reduced escape with optimum performance. Also, stable and reliable operation of CMOS circuits gets degraded thanks to reduction in noise margin with lowered provide voltages and multiplied leakage[8]. Hence,noisemarginsofthecircuitsaremeasured. The initial phases of analysisand developmenteffortsinVLSI design were familiarized towards achieving high speed and miniaturization. At present, the growing trends in transportable computing and wireless applications demand the necessity to hunt out new technologies and style circuits that consumelowpower[9].Thisnecessitatesthenecessityto orient the research towards reducing power dissipation in VLSI circuits. Recent trends within the growth and development of battery powered portable and mobile computing devices necessitate the necessity for extended battery life and thence lesser battery power consumption[10]. The battery life is more reduced by the
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1098 employment of high speed processorsandhugerecollections in them. Also, the magnitude of power dissipation per unit space within the integrated circuits of gift day microprocessors and recollections square measure chop- chop increasing due to the accumulated speed and flexibility[11]. This worsens the matter of warmth removal and cooling (Kaushik Roy 2000). Also, these high power densitiesreducechipdependabilityandanticipation,increase cooling pricesandwillevencauseenvironmentalproblemsin giant knowledge centers. escape power is additionally increasing with technology scaling and can't be neglected. of these factors demand the necessity for value effective solutions to power problems; else improvements in chip technology can reach a standstill[12]. 3. DESIGN METHODOLOGIES 3.1 BIT MAGNITUDE COMPARATOR Two -Bit Magnitude Comparator Compares two numbers each having two bits(A1, A0 & B1, B0). For this arrangement truth table [5] has four inputs & six teen entries as in Table 1. Table1:Truth table of 2bit magnitude comparator. 3.2 Karnaugh Mapping K-Map is used to minimize Boolean function obtained from truth table [5]. For A>B For A=B For A<B
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1099 Figure 1. Logic Diagram of 2-Bit Magnitude Comparator 3.3 Power Dissipation Low power circuit style has appear as a dominant theme in today’s industry. within the past, major issues among researchers and designers for planning integrated circuits were on space, speed, and cost; whereas secondary importance was paid to power dissipation. ddStaticStatic vIP * [1] fvcP ddLDynamic *** 2  [2] vIP SCitShortcircu * [3] )*( DGSddLeakage IIIVP  [4] LeakageDynamicTotal PPP  [5] )*()***( 2 DGSddddlTotal IIIVfvcP   [6] Where  is a transient (time) response, Lc is a load capacitance (charging or discharging), Vdd equal voltage, f equal frequency. 4. Simulation Results Figure 2: Fin FET Two bit comparator Schematic diagram. It is observed from the Figure 2, The phvt and nhvt transistors schematic diagram consist of Fin Pitch are 48nm, Load capacitance is 10fF, at supply voltage from 1Volts. Conventional of Fin FET Two bit comparator Schematic diagram was carried out using Cadence 18nm technology. Figure 3: Fin FET Two bit comparator Output Waveform at 10MHz. As shown in figure 3 Fin FET Two bit comparator Output Waveform simulation result of output waveform at 1Volts at the frequency 10MHz in 18nm technology. Table 2: Fin FET Two bit comparator nhvt & Phvt Specifications Specification nh vt phvt Library name gp dk (ff) gpdk (ff) Fin pitch 48 nM 48nM Drawn Gate Length 18 18 Number of Fins per 2 2
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1100 Finger Number of Finger 1 1 Multiplier 1 1 Load Capacitance 10 fF Table 3: Simulation Results for Fin FET Two bit comparator with 1 V supply in 18nm Technology Design Voltag e (V) Dynami c power (µW) Leakag e power (nW) Delay (nS) Area (nm2 ) Convention al 1 7.77 100.7 2.911 180.8 4 Proposed 0.5 0.7 12.71 0.775 1 72.16 It is observed from the Table 3. Proposed Fin FET Two bit comparator, We havereducedDynamicPower90%,Leakage Power Reduced 87% , Delayreduced73%and AreaReduced 60% using Cadence 18nm Technology. Figure 4: Comparison of dynamic power and voltage scaling Two bit comparator in 18nm Technology. It is observed from the Figure 4, We have reduced Dynamic Power 90%. Figure 5: Comparison of Leakage power and voltage scaling It is observed from the Figure 5, We have reduced Leakage Power 87%. Figure 6: Comparison of delay and voltage scaling . It is observed from the Figure 6, We have reduced Delay Power 73%. Figure7: Comparison of area and voltage scaling It is observed from the Figure7,WehavereducedAreaPower 60%. Figure8: Comparison of Conventional and Proposed Fin FET two bit comparator in terms of power ,delay and area at voltage scaling in 18nm technology
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 03 | Mar 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1101 It is observed from the figure 8, Proposed Fin FET Two bit comparator, We havereducedDynamicPower90%,Leakage Power Reduced 87% , Delayreduced73%and AreaReduced 60% using Cadence 18nm Technology. 5. CONCLUSION Two-bit magnitude comparator style victimization totally different logic designs is planned during this temporary. Comparison is most elementarymathematicaloperationthat determines if one range is larger than, equal to, or but the opposite range. Comparator is most elementary part that performs comparison operation. This temporary presents comparison between totally different logic designs wont to style 2-Bit magnitude comparator. Comparison between totally different styles is calculated by simulation that's performed at 18nm technology in cadence EDA Tool. It is observed from the Table 3, Proposed Fin FET Two Bit Comparator,WehavereducedDynamicPower90%,Leakage Power Reduced 87% , Delayreduced73%and AreaReduced 60% using Cadence 18nm Technology. REFERENCES [1] B. Keerthi Priya ; R. Manoj Kumar,"A new low power area efficient 2bit magnitude comparator using modified GDI technique in cadence 45nm technology", 2016 International Conference on Advanced Communication Control and Computing Technologies (ICACCCT),Year: 2016 Page s: 30 - 34,IEEE Conferences. [2]. S. Kang and Y. Leblebici “CMOS Digital IntegratedCircuit, Analysis and Design” (Tata McGraw-Hill, 3rd Ed, 2003). [3]. A. Bellaouar and Mohamed I. Elmasry“LowPowerDigital VLSI Design: Circuits and Systems” (Kluwer Academic Publishers, 2nd Ed, 1995). [4]. Anantha P. Chandrakasan and Robert W. Brodersen, “Minimizing Power Consumption in CMOS circuits”. Department of EECS, University of California at Barkeley, http://bwrc.eecs.berkeley.edu/php/pubs/pubs.php/418/pa per.fm.pdf, pp.1-64. [5]. S. Salivahanan and S. Arivazhagan “Digital Circuits and Design” (2nd Ed, 2004). [6]. Dinesh Sharma, Microelectronics group, EE Department IIT Bombay, “Logic Design”, http://www.ee.iitb.ac.in/~smdp/DKStutorials/logic- notes.pdf, pp.1-34. [7]. N. Weste and K. Eshraghian “Principles of CMOS VLSI Design: A system Perspective” (Addison- Wesley, 2nd Ed, 1993). [8]. John P. Uyemura “Introduction to VLSI Circuit and Systems”(JohnWileyIndia,ISBN:978-81-265-0915-7,2002). [9]. R. Zimmermann and W. Fichtner, “Low Power Logic Styles: CMOS Versus Pass Transistor Logic” IEEE Journal of Solid State Circuits, Vol.32, No.7, pp1079-1090, July 1997. [10] S. Cotofana, C. Lageweg, S. Vassilidis, “Addition Related Arithmetic Operations via Controlled Transport of Charge”, IEEE Trans. On Computers, Vol. 54(3), pp. 243-256, March 2005. [11] ChirstophWasshuber, “SIMON – A simulator for single- electron tunnel devices and circuits”, IEEE Trans. On computer aided design of integrated circuits and systems, Vol. 16(9), pp. 937-944, 1997. [12] C. Wasshuber, H. Kosina,S.Selberherr,“Asingle-electron device and circuit simulator”, Superlattices and Microstructures, Vol. 21, pp. 37–42, [13] Anbarasu Paulthurai, Balamurugan Dharmaraj “Single Electron 2-Bit Multiplier”, International Journal of Computer Applications Volume 42– No.4, March 2012 [14] Anjuli, Satyajit Anand “2-Bit Magnitude Comparator Design Using Different Logic Styles”, International Journal of Engineering Science Invention Volume 2 Issue 1 PP.13-24, January. 2013