A Novel High-Speed and Energy Efficient 10-Transistor Full Adder Design

In this paper, we propose a novel full adder design using as few as ten transistors per bit. Compared with other low-gate-count full adder designs using pass transistor logic, the proposed design features lower operating voltage, higher computing speed and lower energy (power delay product) operation. The design adopts inverter buffered xor/xnor designs to alleviate the threshold voltage loss problem commonly encountered in pass transistor logic design. This problem usually prevents the full adder design from operating in low supply voltage or cascading directly without extra buffering. The proposed design successfully embeds the buffering circuit in the full adder design and the transistor count is minimized. The improved buffering helps the design operate under lower supply voltage compared with existing works. It also enhances the speed performance of the cascaded operation significantly while maintaining the performance edge in energy consumption. For performance comparison, both dc andperformances of the proposed design against various full adder designs are evaluated via extensive HSPICE simulations. The simulation results, based on TSMC 2P4M 0.35-mum process models, indicate that the proposed design has the lowest working V_dd and highest working frequency among all designs using ten transistors. It also features the lowest energy consumption per addition among these designs. In addition, the performance edge of the proposed design in both speed and energy consumption becomes even more significant as the word length of the adder increases     

Design of CNTFET-based 2-bit ternary ALU for nanoelectronics

This article presents a hardware-efficient design of 2-bit ternary arithmetic logic unit (ALU) using carbon nanotube field-effect transistors (CNTFETs) for nanoelectronics. The proposed structure introduces a ternary adder–subtractor functional module to optimise ALU architecture. The full adder–subtractor (FAS) cell uses nearly 72% less transistors than conventional architecture, which contains separate ternary cells for addition as well as subtraction. The presented ALU also minimises ternary function expressions with utilisation of binary gates for optimisation at the circuit level, thus attaining a simple design. Hspice simulations results demonstrate that the ALU ternary circuits achieve great improvement in terms of power delay product with respect to their CMOS counterpart at 32 nm.     

Design and analysis of low power high-speed 1-bit full adder cells for VLSI applications

This paper presents a low power and high speed two hybrid 1-bit full adder cells employing both pass transistor and transmission gate logics. These designs aim to minimise power dissipation and reduce transistor count while at the same time reducing the propagation delay. The proposed full adder circuits utilise 16 and 14 transistors to achieve a compact circuit design. For 1.2 V supply voltage at 0.18-μm CMOS technology, the power consumption is 4.266 μW was found to be extremely low with lower propagation delay 214.65 ps and power-delay product (PDP) of 0.9156 fJ by the deliberate use of CMOS inverters and strong transmission gates. The results of the simulation illustrate the superiority of the newly designed 1-bit adder circuits against the reported conservative adder structures in terms of power, delay, power delay product (PDP) and a transistor count. The implementation of 8-bit ripple carry adder in view of proposed full adders are finally verified and was observed to be working efficiently with only 1.411 ns delay. The performance of the proposed circuits was examined using Mentor Graphics Schematic Composer at 1.2 V single ended supply voltage and the model parameters of a TSMC 0.18-μm CMOS.     

Cell design methodology (CDM) for balanced Carry–InverseCarry circuits in hybrid-CMOS logic style

In this paper, we propose a systematic design methodology in the category of hybrid-CMOS logic style. A huge library of circuits appropriate for low-power and high-speed applications can be obtained by employing the proposed design methodology. The methodology is before used for designing XOR/XNOR and demonstrates the excellence of the new design features. The question of whether the method can be taken advantage to design the function of Carry and its complement (Carry and InverseCarry), as the third important module of a full adder, and what to extend the answer contributes to move towards the general systematic design. All the presented designs as before have high driving capability, balanced full-swing outputs with less glitches and small number of transistors. Also these only consist of one pass-transistor in the critical path, which causes low propagation delay and high drivability. As known, hybrid-CMOS full adders can be divided into three modules, e.g., SUM, Carry and XOR. Optimising these modules has reduced power consumption, delay and the number of transistors of full adders. Therefore by embedding the balanced full-swing circuits in carry module, it can be expected that 11 new full adder circuits will possess high performance. Simulation results show that the proposed circuits exhibit better performances compared to previously suggested circuits in the proposed realistic test bench. These circuits, outperform their counterparts, are showing 24–126% improvement in the power-delay product (PDP) and 57–82% improvement in the area. All simulations have been performed with TSMC 0.13-μm technology in new full adder test bench, using HSPISE to achieve the minimum PDP.     

DLPA: Discrepant Low PDP 8-Bit Adder

This paper presents a new 8-bit adder circuit, called discrepant low PDP 8-bit adder (DLPA) based on three new full adder cells, which have been designed based on requirements of different positions in each 8-bit adder circuit. In order to design the full adder cells, a new and general method has been proposed aiming to achieve full-swing output and low number of transistors. The proposed adder along with several state-of-the-art adders from the literature have been extensively analyzed and compared together. The results revealed that the power-delay product of DLPA is almost more than 20 % less than that of other compared circuits.     

Optimized transmission gate-based CMOS full adders: design and analysis

By analysing the output characteristics of individual pass transistors in a transmission gate (TG) based CMOS full adder, it is possible to use fewer transistors to implement addition. Various simplified full adders with different numbers of transistors are tested using Pspice simulation. Comparison of these full adders is based on the maximum allowable offset voltages of each node in the full adder configuration. The simplest architecture with a driving output inverter only requires 14 transistors instead of the original 22, as proposed by Zhuang and Wu. Since the simplest architecture is conditional, minimizing the threshold voltage of pass transistors and a design that is more robust are desired in order to increase the fabrication yield. A 16-transistor full adder is optimized for the trade-off between area and reliability. By converting two transistors of an XOR gate into an inverter, this full adder is demonstrated to perform better than an 18-transistor full adder, especially while the inputs are degraded.     

用于加法器的功耗延迟积优化混合进位算法

为了实现高性能的加法器,提出了面向功耗延迟积(PDP)优化的混合进位算法。该算法能快速搜索加法器的混合进位,以优化PDP。采用超前进位算法和行波进位算法交替混合,兼具超前进位算法速度快和行波进位算法功耗低的特点。该算法采用C语言实现并编译,结果应用于MCNC Benchmark电路,进行判定测试。与应用三种传统算法的加法器相比,应用该算法的加法器在位数为8位、16位、32位和64位时,PDP改进量分别为40.0%、70.6%、85.6%和92.9%。     

The CMOS carry-forward adders

The ripple-carry adder (RCA) has the simplest circuit structure but the longest delay among all adders. Thus, it is often realized with the dynamic circuits when speed is the major concern. In this paper, we propose circuit-level and architecture-level innovations over the dynamic RCA (DRCA) that lead to high operation speed and low hardware overhead. Circuit-wise, we propose a cost-effective way to eliminate the race problem of DRCA. Architecture-wise, we propose a new carry-forwarding scheme that combines a diagonal forwarding with the multilevel folding for dramatic speed improvement of the DRCA. Finally, a new multilevel carry-forwarding scheme is proposed to reduce the circuit complexity while keeping the speed. Based on all the proposed techniques, a 32-bit dynamic carry-forward adder (CFA32) with two-level carry forwarding is designed and fabricated with the 0.25-/spl mu/m CMOS technology. The CFA32 consists of 1202 MOS transistors, and occupies only 0.017-mm/sup 2/ silicon area after layout. The measurement result, which agrees with the simulation result, shows that the adder needs only 640 ps to perform an add operation under room temperature. Using the same techniques, a 64-bit carry-forward adder (CFA64) with two-level forwarding technique is also designed and simulated. The CFA64 consists of only 2502 MOS transistors, and the simulation result shows the evaluation time is only 780 ps.     

双进位五输入加法器及其应用

本文提出了一种处理信息量较大的双进位五输入加法器模块。通过九输入加法器及三数相加的串行进位加法器等设计实例证明了它能减少在运算电路中加法器模块的使用数量。     

Mixed logic style adder circuit designed and fabricated using SOI substrate for irradiation-hardened experiment

This paper proposed a rail to rail swing, mixed logic style 28-transistor 1-bit full adder circuit which is designed and fabricated using silicon-on-insulator (SOI) substrate with 90 nm gate length technology. The main goal of our design is space application where circuits may be damaged by outer space radiation; so the irradiation-hardened technique such as SOI structure should be used. The circuit’s delay, power and power–delay product (PDP) of our proposed gate diffusion input (GDI)-based adder are HSPICE simulated and compared with other reported high-performance 1-bit adder. The GDI-based 1-bit adder has 21.61% improvement in delay and 18.85% improvement in PDP, over the reported 1-bit adder. However, its power dissipation is larger than that reported with 3.56% increased but is still comparable. The worst case performance of proposed 1-bit adder circuit is also seen to be less sensitive to variations in power supply voltage (VDD) and capacitance load (CL), over a wide range from 0.6 to 1.8 V and 0 to 200 fF, respectively. The proposed and reported 1-bit full adders are all layout designed and wafer fabricated with other circuits/systems together on one chip. The chip measurement and analysis has been done at VDD = 1.2 V, CL = 20 fF, and 200 MHz maximum input signal frequency with temperature of 300 K.     

A CNFET-based hybrid multi-threshold 1-bit full adder design for energy efficient low power applications

In this article, a low-power and energy-efficient hybrid full adder circuit is proposed, which is implemented based on multi-threshold NAND and NOR gates and transmission gate multiplexers. In order to implement this circuit, carbon nano tube field effect transistors are utilised. For evaluating the proposed design, comprehensive simulations are performed with regard to the most important aspects power, delay and power-delay product. The results are presented and displayed the superiority of the proposed cell in different voltage levels, load conditions, temperatures and robustness against process variations.     

一种新型全加器结构的设计

全加器是算术运算的基本单元，设计结构简单的全加器有利于缩小数字自理芯片的面积。根据最新的ＸＯＲ门结构设计了一种新的全加器，这种结构的一位全加器只用２０只ＭＯＳ管，对这种新的全加器，用ＰＳＰＩＣＥ进行了晶体管级模拟。结果显示，这种新的全加器能正确完成加法器的逻辑功能。     

基于单电子晶体管的动态全加器电路设计

基于单电子晶体管的I-V特性,运用CMOS动态电路的设计思想,提出了一种基于单电子晶体管的全加器动态电路,利用SPICE对设计的电路进行了仿真验证,分析了电荷分享问题.相对于静态互补逻辑电路的设计方法,基于单电子晶体管的动态逻辑电路不仅克服了单电子晶体管固有的电压增益低的缺点,而且器件数目也大幅减少.多栅SET的使用可以减少电荷分享问题对动态电路的影响.     

A Low Power Correlator for CDMA Wireless Systems

The complex valued matched filter correlators consume maximum power in the DS/SS CDMA receivers. These correlators accumulate 1024 samples lying in the range –7 to +7. This accumulation needs 3 data bits, 1 sign bit and 10 extra bits for overflow. Hence, the correlator can be implemented as a cascade of 4-bit full adder and a 10-bit incrementer. As a ripple carry adder (RCA) consumes the least power among all the existing adder architectures, we have implemented the 4-bit adder as a RCA. Previous incrementers were implemented as ripple counters. In this paper we propose a novel incrementer which is faster than a ripple counter based incrementer. Hence, it can be operated at a reduced voltage resulting in considerable power reduction. The incrementer is implemented using multiplexers, AND gates and TSPC registers. The ripple-counter correlator and the proposed incrementer correlator were laid out in MAGIC using 0.5 CMOS technology followed by power estimation using HSPICE. It is shown that the proposed architecture requires 50% less power than a ripple counter based design.     

Low voltage CMOS full adder cells

A formal design procedure for realising a minimal transistor CMOS XOR-XNOR cell using pass networks is presented that successfully scales down with power supply voltage and fully compensates for the threshold voltage drop in MOS transistors. A full adder using this cell is also presented     

CMOS implementation of a multiple-valued logic signed-digit fulladder based on negative-differentiaI-resistance devices

This paper presents a fully integrated implementation of a multivalued-logic signed-digit full adder (SDFA) circuit using a standard 0.6-μm CMOS process. The radix-2 SDFA circuit, based on two-peak negative-differentiaI-resistance (NDR) devices, has been implemented using MOS-NDR, a new prototyping technique for circuits that combine MOS transistors and NDR devices. In MOS-NDR, the folded current-voltage characteristics of NDR devices such as resonant-tunneling diodes (RTDs) are emulated using only nMOS transistors. The SDFA prototype has been fabricated and correct function has been verified. With an area of 123.75 by 38.7 μm² and a simulated propagation delay of 17 ns, the MOS-NDR prototype is more than 15 times smaller and slightly faster than the equivalent hybrid RTD-CMOS implementation     

Time redundancy and gate sizing soft error-tolerant based adder design

In this paper, we propose an efficient and promising soft error tolerance approach for arithmetic circuits with high performance and low area overhead. The technique is applied for designing soft error tolerant adders and is based on the use of a fault tolerant C-element connecting a given adder output to one input of the C-element while connecting a delayed version of that output to the second input. It exploits the variability of the delay of the adder output bits, in which the most significant bits (MSBs) have longer delay than the least significant bits (LSBs), by adding larger delay to the LSBs and smaller delay to the MSBs to guarantee full fault tolerance against the largest pulse width of transient error (soft error) for the available technology with minimum impact on performance. To guarantee fault protections for transistors feeding outputs with smaller added delay, the technique utilizes transistor scaling to ensure that the injected fault pulse width is less than the added delay of the second output of the C-element. Simulation results reveal that the proposed technique takes precedence over other techniques in terms of failure rate, area overhead, and delay overhead. The evaluation experiments have been done based on simulations at the transistor level using HSPICE to take care of temporal masking combined with electrical masking. In comparison to TMR, the technique achieves 100% reliability with 31% reduction in area overhead without impacting performance in the case of a 32-bit adder, and 42% reduction in area overhead and 5% reduction in performance overhead in the case of a 64-bit adder. While our proposed technique achieves area reduction of 4.95% and 9.23% in comparison to CE-based DMR and Feedback-based DMR techniques in the case of a 32-bit adder, it achieves area reduction of 19.58% and 23.24% in the case of a 64-bit adder.     

A high-speed four-bit full adder with a resistor coupled Josephson logic

A four-bit full adder circuit implemented in resistor coupled Josephson logic (RCJL) has been designed and successfully tested with 173-ps critical path delay. The full adder circuit uses dual rail logic with emphasis on high-speed operation. An experimental four-bit adder circuit was fabricated using lead-alloy Josephson IC technology with a 5-µm minimum feature size and a 7-µm minimum junction diameter. The circuit consists of 80 devices with 264 junctions. The minimum critical path delay for the ripple carry adder was measured to be 173 ps/4 bits. This result demonstrates the RCJL potential for high-speed digital applications.     

A novel multiplexer-based low-power full adder

The 1-bit full adder circuit is a very important component in the design of application specific integrated circuits. This paper presents a novel low-power multiplexer-based 1-bit full adder that uses 12 transistors (MBA-12T). In addition to reduced transition activity and charge recycling capability, this circuit has no direct connections to the power-supply nodes, leading to a noticeable reduction in short-current power consumption. Intensive HSPICE simulation shows that the new adder has more than 26% in power savings over conventional 28-transistor CMOS adder and it consumes 23% less power than 10-transistor adders (SERF and 10T ) and is 64% faster.     

A review of 0.18-/spl mu/m full adder performances for tree structured arithmetic circuits

The general objective of our work is to investigate the area and power-delay performances of low-voltage full adder cells in different CMOS logic styles for the predominating tree structured arithmetic circuits. A new hybrid style full adder circuit is also presented. The sum and carry generation circuits of the proposed full adder are designed with hybrid logic styles. To operate at ultra-low supply voltage, the pass logic circuit that cogenerates the intermediate XOR and XNOR outputs has been improved to overcome the switching delay problem. As full adders are frequently employed in a tree structured configuration for high-performance arithmetic circuits, a cascaded simulation structure is introduced to evaluate the full adders in a realistic application environment. A systematic and elegant procedure to scale the transistor for minimal power-delay product is proposed. The circuits being studied are optimized for energy efficiency at 0.18-/spl mu/m CMOS process technology. With the proposed simulation environment, it is shown that some survival cells in stand alone operation at low voltage may fail when cascaded in a larger circuit, either due to the lack of drivability or unsatisfactory speed of operation. The proposed hybrid full adder exhibits not only the full swing logic and balanced outputs but also strong output drivability. The increase in the transistor count of its complementary CMOS output stage is compensated by its area efficient layout. Therefore, it remains one of the best contenders for designing large tree structured arithmetic circuits with reduced energy consumption while keeping the increase in area to a minimum.