I.J. Modern Education and Computer Science, 2015, 3, 19-25
Published Online March 2015 in MECS (http://www.mecs-press.org/)
DOI: 10.5815/ijmecs.2015.03.03
Copyright © 2015 MECS I.J. Modern Education and Computer Science, 2015, 3, 19-25
A Novel Quaternary Full Adder Cell Based on
Nanotechnology
Fazel Sharifi
Department of Electrical and Computer Engineering, Shahid Beheshti University, Tehran, Iran
Email: f_sharifi@sbu.ac.ir
Mohammad Hossein Moaiyeri
Department of Electrical and Computer Engineering, Shahid Beheshti University, Tehran, Iran
Email: h_moaiyeri@sbu.ac.ir
Keivan Navi
Department of Electrical and Computer Engineering, Shahid Beheshti University, Tehran, Iran
Email: navi@sbu.ac.ir
Abstract—Binary logic circuits are limited by the
requirement of interconnections. A feasible solution is to
transmit more information over a signal line and utilizing
multiple-valued logic (MVL). This paper presents a novel
high performance quaternary full adder cell based on
carbon nanotube field effect transistor (CNTFET). The
proposed Quaternary full adder is designed in multiple
valued voltage mode. CNTFET is a promising candidate
for replacing MOSFET with some useful properties, such
as the capability of having the desired threshold voltage
by regulating the diameters of the nanotubes, which make
them very appropriate for voltage mode multiple
threshold circuits design. The proposed circuit is
examined, using Synopsys HSPICE with the standard 32
nm CNTFET technology with different temperatures and
supply voltages.
Index Terms—Carbon nanotube FET (CNTFET),
Quaternary logic, Full Adder, Multiple-Vth design,
Nanoelectronics.
I. INTRODUCTION
Traditional computer systems use binary logic for their
operations. However, Multiple-valued logic (MVL)
circuits have been designed over the last decades as an
alternative to binary circuits. The main advantage of the
MVL is reduction in the number of interconnections,
which is a serious problem in binary integrated circuits of
the present time.
Multiple-valued logic seeks to improve the information
processing efficiency of a circuit by transmitting more
information on each signal line than the simple binary
logic and by implementing complex functions of the
inputs in a single gate. However, MVL using has been
restricted due to the fact that compact and stable MVL
circuits are hard to be designed, the noise margins on
multiple valued lines are reduced and most importantly
there is a need to perform conversions to and from the
binary world. Accordingly, designers using the MVL
paradigm have mostly focused on the ternary (i.e. radix 3)
and the quaternary (i.e. radix-4) number systems. Ternary
system consists of three digits, namely {0, 1, 2} and
quaternary system consists of four digits {0, 1, 2, 3}.
However, quaternary logic seems to be more interesting
due to the simple conversion between quaternary signals
and binary signals.
On the other hand, scaling down the feature size of the
metal-oxide semiconductor (MOS) technology deeper in
nano-ranges leads to numerous critical challenges and
problems, which will considerably reduce its suitability
for energy efficient applications in the time to come. To
overcome these problems, such as short channel effects,
reduced gate control and high leakage power dissipation,
researchers are working towards new technologies. These
technologies, such as single electron transistor, quantum
dot cellular automata and carbon nanotube field effect
transistor (CNTFET) are being studied to replace the
customary silicon based CMOS technology in the near
future [1]-[3]. Among these emerging nanotechnologies,
CNTFET seems to be more appropriate on account of its
likeness with MOSFET in terms of inherent electrical
properties which makes it possible to utilize previously
designed CMOS structures in the CNTFET technology
without any significant modifications. Moreover, the
unique one-dimensional band structure of the CNTFET
represses backscattering and causes near-ballistic
operation, which results in very high-speed operation [4].
One of the important properties of CNTFETs which is
very useful for transistor sizing of complex circuits is the
same mobility for N-FET and P-FET and consequently
same current drive capability. Generally CNTFETs are
faster than MOSFETs and also consume less power.
MVL circuits can be designed either in current mode or
voltage mode. CMOS voltage mode MVL circuits are
based on multiple-threshold design which can be
achieved by applying different bias voltages to the bulk
terminal of transistors. This method is not efficient and
leads to very complex and high-cost fabrication. In a