Designing a New 4:2 Compressor Using an Efficient Multi-Layer Full-Adder Based on Nanoscale Quantum-Dot Cellular Automata

Quantum-dot Cellular Automata (QCA) is novel prominent nanotechnology. It promises a substitution to Complementary Metal–Oxide–Semiconductor (CMOS) technology with a higher scale integration, smaller size, faster speed, higher switching frequency, and lower power consumption. It also causes digital circuits to be schematized with incredible velocity and density. The full adder, compressor, and multiplier circuits are the basic units in the QCA technology. Compressors are an important class of arithmetic circuits, and researchers can use quantum compressors in the structure of complex systems. In this paper, first, a novel three-input multi-layer full-adder in QCA technology is designed, and based on it, a new multi-layer 4:2 compressor is presented. The proposed QCA-based full-adder and compressor uses an XOR gate. The proposed design offers good performance regarding the delay, area size, and cell number comparing to the existing ones. Also, in this gate, the output signal is not enclosed, and we can use it easily. The accuracy of the suggested circuits has been assessed with the utilization of QCADesigner 2.0.3. The results show that the proposed 4:2 compressor architecture utilizes 75 cell and 1.25 clock phases, which are efficient than other designs.

     

Fault-Tolerant Design of a Shift Register at the Nanoscale Based on Quantum-dot Cellular Automata

Quantum-dot Cellular Automata (QCA) as a novel technology in the nanometer scale has been considered as one of the substitutes to CMOS technology. The QCA helps to create faster computers with lower power consumption. On the other hand, a shift register as one of the most important logical circuit in the digital systems consists of a line of latches. Also, the QCA-based designs have more advantages compared to the conventional CMOS designs. However, some deposition defects are possible to occur in the QCA-based designs, which have necessitated the fault-tolerant structures. Therefore, this paper aims to design an optimized 2-bit universal shift register based on QCA technology through the optimized multiplexer and D flip-flop. This paper studies the functionality and the fault tolerance of the proposed universal shift register in the presence of the QCA deposition faults. The structure of the 2-bit universal register is extendable to 4-bit, 8-bit and higher. The proposed design has better performance regarding fault tolerant, complexity and area consumption compared to the current designs based on the achieved results via QCADesigner.     

RETRACTED ARTICLE: A New Design of 2-Bit Universal Shift Register Using Rotated Majority Gate Based on Quantum-Dot Cellular Automata Technology

Quantum-dot Cellular Automata (QCA) is emerging nanotechnology that can represent binary information using quantum cells without current flows. It is known as a promising alternative of Complementary Metal–Oxide Semiconductor (CMOS) to solve its drawbacks. On the other hand, the shift register is one of the most widely used practical devices in digital systems. Also, QCA has the potential to achieve attractive features than transistor-based technology. However, very small-scale and Nano-fabrication limits impose a hurdle to the design of QCA-based circuits and necessitate for fault-tolerant analysis is appeared. Therefore, the aim of this paper is to design and simulate an optimized a D-flip-flop (as the main element of the shift register) based on QCA technology, which is extended to design an optimized 2-bit universal shift register. This paper evaluates the performance of the designed shift register in the presence of the QCA fault. Collected results using QCADesigner tool demonstrate the fault-tolerant feature of the proposed design with minimum clocking and area consumption.

     

A Cost-Aware Efficient RAM Structure Based on Quantum-Dot Cellular Automata Nanotechnology

Nowadays quantum-dot cellular automata (QCA) as a nanoscale transistor-less device technology have attained major attention for their prominent features. The circuits constructed by QCA technology owning remarkable decreasing in size, fast switching speed and ultra-low energy consumption. These features can be more different in varied memory structures. Random access memory (RAM) is a kind of data storage devices that allows data to be read or written it’s generally volatile, and used for data that change often. Due to the significance of memory in a digital system, designing and optimization of high-speed RAM in QCA nanotechnology is a substantial subject. So, this paper presents a new structure for QCA-based RAM cell by employing the 3-input rotated majority gate (RMG). Eventually, 1 × 4 RAM is designed by exerting the individual memory cell. The functionality of the proposed design is implemented and assessed using the QCADesigner simulator. The obtained results demonstrated that the designed QCA-based RAM cell is superior to previous structures in terms of delay and cell count.

     

Shannon Logic Based Novel QCA Full Adder Design with Energy Dissipation Analysis

Quantum-dot Cellular Automata (QCA) is an emerging nanotechnology to replace VLSI-CMOS digital circuits. Due to its attractive features such as low power consumption, ultra-high speed switching, high device density, several digital arithmetic circuits have been proposed. Adder circuit is the most prominent component used for arithmetic operations. All other arithmetic operation can be successively performed using adder circuits. This paper presents Shannon logic based QCA efficient full adder circuit for arithmetic operations. Shannon logic expression with control variables helps the designer to reduce hardware cost; using with minimum foot prints of the chip size. The mathematical models of the proposed adder are verified with the theoretical values. In addition, the energy dissipation losses of the proposed adder are carried out. The energy dissipation calculation is evaluated under the three separate tunneling energy levels, at temperature T = 2K.The proposed adder dissipates less power. QCAPro tool is used for estimating the energy dissipation. In this paper we proposed novel Shannon based adder for arithmetic calculations. This adder has been verified in different aspects like using Boolean algebra besides it power analysis has been calculated. In addition 1-bit full adder has been enhanced to propose 2-bit and 4-bit adder circuits.     

Designing Nanoscale Counter Using Reversible Gate Based on Quantum-Dot Cellular Automata

Some new technologies such as Quantum-dot Cellular Automata (QCA) is suggested to solve the physical limits of the Complementary Metal-Oxide Semiconductor (CMOS) technology. The QCA as one of the novel technologies at nanoscale has potential applications in future computers. This technology has some advantages such as minimal size, high speed, low latency, and low power consumption. As a result, it is used for creating all varieties of memory. Counter circuits as one of the important circuits in the digital systems are composed of some latches, which are connected to each other in series and actually they count input pulses in the circuit. On the other hand, the reversible computations are very important because of their ability in reducing energy in nanometer circuits. Improving the energy efficiency, increasing the speed of nanometer circuits, increasing the portability of system, making smaller components of the circuit in a nuclear size and reducing the power consumption are considered as the usage of reversible logic. Therefore, this paper aims to design a two-bit reversible counter that is optimized on the basis of QCA using an improved reversible gate. The proposed reversible structure of 2-bit counter can be increased to 3-bit, 4-bit and more. The advantages of the proposed design have been shown using QCADesigner in terms of the delay in comparison with previous circuits.     

Counters Designs with Minimum Number of Cells and Area in the Quantum-Dot Cellular Automata Technology

The quantum-dot cellular automata (QCA) were highly regarded due to its high operating frequency and significantly low power consumption. One of the most useful circuits in processors architecture is counter. This paper presents effective designs and arrangement of QCA based counter-circuits. In this study new counter circuits in QCA technology are designed and precise simulation are done using the QCADesigner. Three, four and five bits counters are proposed in this paper in QCA technology. A comparison is made between the past and recent designs to illustrate which method is better and more efficient in terms of area, complexity, number of cells, and delay. For example, the proposed three bit shift register has 174 quantum cells, 0.2μm² occupied area and three QCA clock cycles delay.

     

Design of Novel Coplanar Counter Circuit in Quantum Dot Cellular Automata Technology

One of the emerging technology that can be used for replacing CMOS technology is Quantum-dot Cellular Automata (QCA) technology. Counter circuits are widely used circuits in the design of digital circuits. This paper presents and evaluates circuits for 2-, 3-, 4-, and 5-bit coplanar counter in the QCA technology. The designed QCA coplanar counter circuits are based on the modified D-Flip-Flop (D-FF) circuit that is designed in this paper. The designed QCA circuits are implemented and verified by using QCADesigner tool version 2.0.3. The results show that the designed circuits for 2-, 3-, 4-, and 5-bit coplanar counter contain 44 (0.03 μm²), 93 (0.07 μm²), 160 (0.13 μm²), and 245 (0.2 μm²) quantum cells (area). The comparison results indicate that the designed circuits have advantages compared to other QCA circuits in terms of cost, area, and cell count.

     

Towards Multilayer QCA SISO Shift Register Based on Efficient D-FF Circuits

Quantum-dot Cellular Automata (QCA) is a new technology for replacing CMOS technology at nano-scale dimansion. Shift registers have commonly used circuit in the digital circuits design. In this paper, a new 3-bit Serial Input-Serial Output (SISO) QCA shift register is presented. The proposed circuit uses 3 novel D-Flip-Flops (D-FFs) that are developed in this paper. The proposed circuits are implemented by using QCADesigner tool version 2.0.3. The developed QCA SISO shift register has 120 cells and 0.03 μm² area. The results show that the developed circuits have advantages compared to other QCA circuits in terms of area.     

Modular Adder Designs Using Optimal Reversible and Fault Tolerant Gates in Field-Coupled QCA Nanocomputing

The challenges which the CMOS technology is facing toward the end of the technology roadmap calls for an investigation of various logical and technological solutions to CMOS at the nano scale. Two such paradigms which are considered in this paper are the reversible logic and the quantum-dot cellular automata (QCA) nanotechnology. Firstly, a new 3 × 3 reversible and universal gate, RG-QCA, is proposed and implemented in QCA technology using conventional 3-input majority voter based logic. Further the gate is optimized by using explicit interaction of cells and this optimized gate is then used to design an optimized modular full adder in QCA. Another configuration of RG-QCA gate, CRG-QCA, is then proposed which is a 4 × 4 gate and includes the fault tolerant characteristics and parity preserving nature. The proposed CRG-QCA gate is then tested to design a fault tolerant full adder circuit. Extensive comparisons of gate and adder circuits are drawn with the existing literature and it is envisaged that our proposed designs perform better and are cost efficient in QCA technology.     

Design of Low-Complexity and High-Speed Coplanar Four-Bit Ripple Carry Adder in QCA Technology

Quantum-dot Cellular Automata (QCA) technology is a suitable technology to replace CMOS technology due to low-power consumption, high-speed and high-density devices. Full adder has an important role in the digital circuit design. This paper presents and evaluates a novel single-layer four-bit QCA Ripple Carry Adder (RCA) circuit. The developed four-bit QCA RCA circuit is based on novel QCA full adder circuit. The developed circuits are simulated using QCADesigner tool version 2.0.3. The simulation results show that the developed circuits have advantages in comparison with existing single-layer and multilayer circuits in terms of cell count, area occupation and circuit latency.     

Novel Efficient Circuit Design for Multilayer QCA RCA

The novel emerging technology, QCA technology, is a candidate for replacing CMOS technology. Full Adder (FA) circuits are also widely used circuits in arithmetic circuits design. In this paper, two new multilayer QCA architectures are presented: one-bit FA and 4-bit Ripple Carry Adder (RCA). The designed one-bit multilayer FA architecture is based on a new XOR gate architecture. The designed 4-bit multilayer QCA RCA is also developed based on the designed one-bit multilayer QCA FA. The functionality of the designed architectures are verified using QCADesigner tool. The results indicate that the designed architecture for 4-bit multilayer QCA RCA requires 5 clock phases, 125 QCA cells, and 0.17 μm² area. The comparison results confirm that the designed architectures provide improvements compared with other adder architectures in terms of cost, cell count, and area.

     

Design of Improved Arithmetic Logic Unit in Quantum-Dot Cellular Automata

The quantum-dot cellular automata (QCA) can be replaced to overcome the limitation of CMOS technology. An arithmetic logic unit (ALU) is a basic structure of any computer devices. In this paper, design of improved single-bit arithmetic logic unit in quantum dot cellular automata is presented. The proposed structure for ALU has AND, OR, XOR and ADD operations. A unique 2:1 multiplexer, an ultra-efficient two-input XOR and a low complexity full adder are used in the proposed structure. Also, an extended design of this structure is provided for two-bit ALU in this paper. The proposed structure of ALU is simulated by QCADesigner and simulation result is evaluated. Evaluation results show that the proposed design has best performance in terms of area, complexity and delay compared to the previous designs.     

New Design for Quantum Dots Cellular Automata to obtain Fault Tolerant Logic Gates

In this paper, we analyze fault tolerance properties of the Majority Gate, as the main logic gate for implementation with Quantum dots Cellular Automata (QCA), in terms of fabrication defect. Our results demonstrate the poor fault tolerance properties of the conventional design of Majority Gate and thus the difficulty in its practical application. We propose a new approach to the design of QCA-based Majority Gate by considering two-dimensional arrays of QCA cells rather than a single cell for the design of such a gate. We analyze fault tolerance properties of such Block Majority Gates in terms of inputs misalignment and irregularity and defect (missing cells) in assembly of the array. We present simulation results based on semiconductor implementation of QCA with an intermediate dimensional dot of about 5 nm in size as opposed to magnetic dots of greater than 100 nm or molecular dots of 2–5Å. Our results clearly demonstrate the superior fault tolerance properties of the Block Majority Gate and its greater potential for a practical realization. We also show the possibility of designing fault tolerant QCA circuits by using Block Majority Gates.     

Design of Ultra-Efficient Reversible Gate Based 1-bit Full Adder in QCA with Power Dissipation Analysis

The difficulties which the CMOS technology is facing at the nano scale has led to the investigation of quantum-dot cellular automata (QCA) nanotechnology and reversible logic as an alternative to conventional CMOS technology. In this paper, these two paradigms have been combined. Firstly, a new 3 × 3 reversible gate, SSG-QCA, which is universal and multifunctional in nature, is proposed and implemented in QCA using conventional 3-input majority voter based logic. By using the concept of explicit interaction of cells, the proposed gate is further optimized and then used to design an ultra-efficient 1-bit full adder in QCA. The universal nature has been verified by designing all the logic gates from the proposed SSG-QCA gate whereas the multifunctional nature is verified by implementing all the 13 standard Boolean functions. The proposed 3 × 3 gate and adder designs are then extensively compared with the existing literature and it is observed that the proposed designs are ultra-efficient in terms of both area and cost in QCA technology. In addition to this energy dissipation analysis for different scenarios is also done on all the designs and it is observed that the proposed designs dissipate minimum energy thereby making them suitable for ultra-low power designs.

     

A review on the design of ternary logic circuits

A multi-valued logic system is a promising alternative to traditional binary logic because it can reduce the complexity, power consumption, and area of circuit implementation. This article briefly summarizes the development of ternary logic and its advantages in digital logic circuits. The schemes, characteristics, and application of ternary logic circuits based on CMOS, CNTFET, memristor, and other devices and processes are reviewed in this paper, providing some reference for the further research and development of ternary logic circuits.     

Optimization of fat tree encoder for ultra high speed analog to digital converter using 45 nanometer technology

The design of high speed, compact and low power fat tree encoder circuits using static CMOS gates is presented. In this paper, we propose a modified 3 bit fat tree encoder (FTE) that can operate in high frequency without a sophisticated circuit structure. In addition, the technique of hardware sharing is adopted in this design to reduce the number of transistors. The study uses complementary metal oxide semiconductor (CMOS) 45 nm-technology. The proposed static design has improved delay and power compared to a conventional ROM encoder circuit implementation. The simulation result indicates that it functions successfully and works at 200-MHz speed. The average power consumption of the circuit under room temperature is 20.7 nW. The total core area is 0.011 mm². As expected, the proposed design can be easily integrated in various kind of digital application.     

An Efficient Module for Full Adders in Quantum-dot Cellular Automata

Quantum-dot cellular automata (QCA), a new computing paradigm at nanoscale, may be a prospective alternative to conventional CMOS-based integrated circuits. Modular design methodology in QCA domain has not been widely investigated. In this paper, an efficient module with fault tolerance is proposed, which can be employed to fabricate three-input and five-input majority gates that are the fundamental primitives for designing circuits in QCA. With cells omission in the versatile module, various logic gates will be achieved, such as Nand-Nor-Inverter (NNI) gate and And-Or-Inverter (AOI) gate. Moreover, in order to seek out an efficient full adder, five various QCA full adders are designed and exhaustively compared in terms of area, complexity, latency, reliability and power dissipation and also compared with existing fault-tolerant full adders. Two simulation tools, QCADesigner and QCAPro, are utilized in the waveform simulations for verifying the correctness of proposed circuits and power consumption, respectively. The analysis results reveal that full adder V has significant improvements in contrast to its counterparts with above criteria. To test the practicability of full adder V, multi-bit adders will be designed in single-layer and compared with previous adders in terms of area, complexity and QCA cost, which proves the merits of our work.     

Robust Coplanar Full Adder Based on Novel Inverter in Quantum Cellular Automata

Quantum dot cellular automata (QCA) is one of the nano-scale computing paradigms which promises high speed and ultra-low power consumption. Since the one-bit full adder is a fundamental building block of arithmetic circuits, designing an efficient QCA full adder cell is very imperative in this new technology. In this paper, we propose a QCA full adder using a new inverter gate which leads to reduced complexity and area occupation. The proposed layout is simulated by the QCA designer engines. We also provide a performance comparison of our proposed QCA full adder with the previous relevant designs. Furthermore, a detailed analysis of energy dissipation is performed which demonstrates the superiority of the proposed design in terms of the energy efficiency.

     

QCA Gray Code Converter Circuits Using LTEx Methodology

The Quantum-dot Cellular Automata (QCA) is the prominent paradigm of nanotechnology considered to continue the computation at deep sub-micron regime. The QCA realizations of several multilevel circuit of arithmetic logic unit have been introduced in the recent years. However, as high fan-in Binary to Gray (B2G) and Gray to Binary (G2B) Converters exist in the processor based architecture, no attention has been paid towards the QCA instantiation of the Gray Code Converters which are anticipated to be used in 8-bit, 16-bit, 32-bit or even more bit addressable machines of Gray Code Addressing schemes. In this work the two-input Layered T module is presented to exploit the operation of an Exclusive-OR Gate (namely LTEx module) as an elemental block. The “defect-tolerant analysis” of the two-input LTEx module has been analyzed to establish the scalability and reproducibility of the LTEx module in the complex circuits. The novel formulations exploiting the operability of the LTEx module have been proposed to instantiate area-delay efficient B2G and G2B Converters which can be exclusively used in Gray Code Addressing schemes. Moreover this work formulates the QCA design metrics such as O-Cost, Effective area, Delay and Cost _α for the n-bit converter layouts.