Superpipelined adder designs

Adders play a central role in arithmetic computations as well as digital signal processing. Besides addition, adders are used in multiple operations in processors. Based on our requirements upon variegated parameters our choice on adders can also be changed. Most digital systems, such as processors or computers, have 32-bit architecture, which includes 32-bit integers, registers, and memory locations, among other things. As a result, optimising 32-bit adders minimises total latency and thus enhances speed. In this work, performance analysis of 32-bit adders is compared by the Verilog programming language. 32-bit adder design is highly crucial as its architecture is widespread and used widely, and it is so hard to design. Designing several adders of 32 bit such as carry save adder (CSA), carry look ahead adder (CLA), ripple carry adder (RCA), modified carry select adder (MCSA), carry skip adder (CSKA), kogge stone adder (KSA) and carry select adder (CSLA), are explained in this work based on memory usage and delay. Discussions on adder types are made that aids in reducing the time usage on tedious tasks. CLA and CSKA were compared. Synthesis and simulation are done using Xilinx ISE tool. The simulation results help in the determination of the attributes that were assorted.

The speed of an adder is a significant factor in the performance for any arithmetic circuit. This paper primarily evaluates four different 4-bit adder architectures on 28nm technology in terms of speed. However, the performance of the adders is analysed based on delay, power dissipation, leakage current and area. The purpose of our work is to analyse the designs of the 4-bit adders, so as to give a better understanding as to which adder is suitable to the designer. The 4-bit adders, namely ripple carry adder (RCA), carry lookahead adder (CLA), carry skip adder (CSK) and Manchester carry chain adder (MCC), are designed using Cadence Virtuoso on 28nm technology. They are simulated and analysed at various supply voltages ranging from 0.6 to 1 V using ELDO tool. The results show that at 0.6 V CLA is faster than CSK by 27.9%, MCC by 8.2% and RCA by 26.46%.

Adders are digital circuits that perform addition operation. There are various types of adder structures such as Ripple carry adder (RCA), carry look ahead adder (CLA) , carry select adder (CSLA) , carry save adder(CSA), carry skip adder, carry increment adder and so on. Again CSLA is of two types that is linear carry select adder (LCSLA) & square root carry select adder (SQRT CSLA). To design an efficient adder circuit in terms of area, power and speed is one of the challenging task in modern VLSI design field. In this paper performance analysis of different adder structures like RCA, CLA, LCSLA and SQRT CSLA has been carried out and then a Heterogeneous adder structure is proposed, which compose of four different sub homogeneous adders (RCA, CLA, LCSLA and SQRT CSLA). The heterogeneous adder structure is used to demonstrate the tradeoffs between the speed and area. In this paper, all adder structures i.e., RCA, CLA, LCSLA and SQRT CSLA are to be designed and are to be compared with each other in terms of delay and area. Then by using the homogeneous adder structures different heterogeneous adder structures of 16-bit size are to be designed. Different heterogeneous adder architectures are compared with each other in terms of delay (ns) and area (number of LUTs). All the adder structures are designed using VHDL with the help of ISE Xilinx design suite 14.2 and functionally simulated using ISIM simulator. All the designs are to be synthesized using Xilinx XST synthesizer.

An optimal high-speed and low-power VLSI architecture requires an efficient arithmetic processing unit that is optimized for speed and power consumption. Adders are one of the widely used in digital integrated circuit and system design. High speed adder is the necessary component in a data path, e.g. Microprocessors and a Digital signal processor. The present paper proposes a novel high-speed adder by combining the advantages of Carry Look Ahead Adder (CLAA) and Carry Select Adder (CSA), devising a hybrid CSA. In the proposed adder, CSA uses CLAA technology to generate the carry bits for each sum bit, which are then used to select the respective multiplexer (MUX) which adds the carry bit to the sum accordingly. The proposed adder has been synthesized with bulk 40 nm standard CMOS library on Synopsys Design Compiler. Analysis has indicated the superiority of proposed adder over CLAA and CSA. As compared to CSA and CLAA, the proposed Carry Select Ahead Adder (CSAA) provides shorter average path and a simpler hardware. This has led to faster processing speed by increasing the complexity of circuit on the chip. The proposed adder finds its applications in various Arithmetic and Logic Units (ALU) of CPUs for faster arithmetic results. Keywords—Carry Look Ahead Adder (CLAA), Carry Select Adder (CSA), Multiplexer (MUX), Carry Select Ahead Adder (CSAA), Arithmetic and Logic Unit (ALU).

Parallel Adders or Ripple Carry Adders (RCA) are the building blocks of the digital processing units. However these RCAs have disadvantage of large propagation delay because of the propagation of carry from the first adder to the last adder. To overcome this drawback, Carry Look Ahead Adders (CLAA) are used. But again these CLAAs consumes more power because of use of large number of gates for generating carry. In this paper, we present a design of CLAA based on hybrid CMOS logic style which consumes less power as compared to the designs of CLAA based on complementary CMOS, Pass Transistor Logic (PTL) and Transmission Gate (TG). The proposed design of CLAA has less propagation delay as compared to its existing designs. Also the number of transistors required for the proposed design of CLAA are less as compared to the existing designs based on other logic style.

This paper compares several designs of spanning tree adders for 16 and 32 bit widths. The carry select part of the spanning tree is done using ripple carry and carry skip adders (4, 8 and 16 bits) and compared in terms of delay, complexity and power consumption. The spanning tree design is also compared with that of a conventional carry lookahead adder. All the designs are done using only 2 input NAND and NOR gates and inverters in 0.18 μm CMOS technology. The delay and power consumption is determined by use of simulations performed with Synopsys and Cadence design tools. The spanning tree adder realized with carry skip adders is about 40% faster than the carry lookahead adder with an approximate increase of 17% in complexity and 22% in power.

In digital systems design, the high-speed adders play an imperative role in modules like adders, multipliers, division, etc. to obtain the results quickly. In digital signal processor and computer data path circuits, carry look-ahead adder (CLA), carry save adder (CSA), carry select adder (CSeA) and carry skip adder are the mostly used fast adders to improve the performance of a system. This work mainly emphasizes on fault-tolerant carry save adder using hardware redundancy configurations for the betterment of reliability at the cost of area. The popular methods like dual (DMR) and triple modular redundancy (TMR) are implemented to detect only but not correct an error and tolerate single event upset (SEU) error respectively. To tolerate multiple errors, for example, two, three and four errors, the 5-modular (quintuple), 7-modular (septuple), and 9-modular (nonuple) redundancy configurations are used respectively. For experimental results, the implementation of a simple addition of four 4-bit numbers is considered on Altera FPGA EP4CE115F29C7 device using Quartus II synthesis software tool. Simulation results reveal that for example in nonuple MR, CSA using CSeA final stage obtain higher performance (45.7 MHz) with moderate power dissipation as 173.36 mW and at the cost of more LEs (216).

Objective: The Ultimate aim of the VLSI Design is to improve the efficiency, Reduction of Delay and Power Consumption and to minimize the area. In our proposed approach we had implemented the analysis had been done on the field of Speed, Power consumption, Area and Power delay product (PDP) for a carry skip adder with other adders listed as the parallel prefix adders and others. Methods/Statistical Analysis: The Carry-Skip Adder planned here reduces the time required to propagate the carry by skipping over teams of consecutive adder stages, is understood to be comparable in speed to the carry look-ahead technique whereas it uses less logic space and fewer power. Findings: The adders are basic building blocks of the digital circuits for the Signal processing, Integrating and other process of operation. There are various types of adders are proposed in Literature which are commonly used in VLSI Design. The Simulation results also shows that the proposed adder Architecture is Faster and Area efficient compared to other existing adder architecture. Application/ Improvements: They estimate the performance of proposed design will be better in terms of Logic and route delay by experimental results. Keywords: Adders, Carry Bypass Adder (CBA), Carry Increment Adder (CIA), Carry Look-Ahead Adder (CLA), Carry Skip Adder (CSkA), Han Carlson Adder (HCA), Ripple Carry Adder (RCA)

A novel energy efficient 4-bit vedic multiplier using modified GDI approach at 32 nm technology

This paper presents a comparative research of Carry Lookahead Adder (CLA) carry chains of various design implementations, in terms of propagation delay and transistor count. Two different design implementations of CLA carry generation circuit are discussed and compared based on their speed and transistor count. The representative designs compared are Complementary Metal Oxide Semiconductor (CMOS) Conventional CLA (CCLA) carry generation structure and proposed structure of CLA carry generation, named VpAn. To yield optimized delay for the proposed VpAn Design, transistor resizing has been done. A comprehensive comparison and analysis of performance of four, eight and sixteen bit carry chains are carried out. All the schematics of the CLA carry chains are designed using 0.25um process. The simulations of the schematics of CMOS conventional CLA generation circuits and the proposed CLA carry generation designs are performed using LTspice based on 250nm CMOS technology and 2.5V supply voltage to yield realistic rise and fall times. The speed of each circuit is evaluated and our proposed model reduces the propagation delay by 75% compared to the results of CCLA before sizing. This paper establishes, how the physical implementation of circuits relate to their performance.

We present the design of a carry skip adder that achieves low power dissipation and high-performance operation. The carry skip adder's delay and power dissipation are reduced by dividing the adder into variable-sized blocks that balance the delay of inputs to the carry chain. This grouping reduces active power by minimizing extraneous glitches and transitions. Each block also uses highly optimized complementing carry look-ahead logic to reduce delay. Compared to previous designs, the adder architecture decreases power consumption by reducing the number of transistors, logic levels, and glitches. A 32-bit carry skip adder design that uses our approach has been implemented in 130 nm CMOS technology. At 1.2 V and 25 C, the 32-bit adder has a critical path delay of 921 ps and average power dissipation normalized to 600 MHz operation of 0.786 mW. We also present a technique to quickly perform saturating addition, which is useful in a variety of digital signal processing and multimedia applications. Our technique for fast saturation is based on techniques for carry select addition and works particularly well when the input and output operands can have different formats. A 40-bit carry skip adder that uses our technique for fast saturation has critical path delays of 1149 ps in 130 nm technology at 1.2 V and 25 C and 560 ps in 90nm technology at 1.0 V and 25 C. The 40-bit adder's average power dissipation normalized to 600 MHz operation is 0.928 mW in 130 nm technology and 0.335 mW in 90 nm technology.

SUMMARY This study presents efficient algorithms for performing multiply-by-3 (3N) and divide-by-3 (N/3) operations with the additions and subtractions, respectively. No multiplications and divisions are needed. Full adder (FA) and full subtractor (FS) can be implemented to realize the N3 and N/3 operations, respectively. For fast hardware implementation, this paper introduces two basic cells UCA and UCS for 3N and N/3 operations, respectively. For 3N operation, the UCA-based ripple carry adder (RCA) and carry lookahead adder (CLA) designs are proposed and their speed performances are estimated based on the delay data of standard cell library in TSMC 0.18µm CMOS process. Results show that the 16-bit UCA-based RCA is about 3 times faster than the conventional FA-based RCA and even 25% faster than the FA-based CLA. The proposed 16-bit and 64-bit UCA-based CLAs are 62% and 36% faster than the conventional FA-based CLAs, respectively. For N/3 operations, ripple borrow subtractor (RBS) is also presented. The 16-bit UCS-based RBS is about 15.5% faster than the 16-bit FS-based RBS.

The carry look-ahead adder (CLA) is well known among the family of high-speed adders. However, a conventional CLA is not faster than other high-speed adders such as a conditional sum adder (CSA), a carry-select adder (CSLA), and the Kogge–Stone adder (KSA), which is the fastest parallel-prefix adder. Further, in terms of power-delay product (PDP) that characterizes the energy of digital circuits, the conventional CLA is not efficient compared to CSLA and KSA. In this context, this paper presents a high-speed and energy-efficient architecture for the CLA. Many adders ranging from ripple carry to parallel-prefix adders were implemented using a 32-28 nm CMOS standard digital cell library by considering a 32-bit addition. The adders were structurally described in Verilog and synthesized using Synopsys Design Compiler. From the results obtained, it is observed that the proposed CLA achieves a reduction in critical path delay by 55.3% and a reduction in PDP by 45% compared to the conventional CLA. Compared to the CSA, the proposed CLA achieves a reduction in critical path delay by 33.9%, a reduction in power by 26.1%, and a reduction in PDP by 51.1%. Compared to an optimized CSLA, the proposed CLA achieves a reduction in power by 35.4%, a reduction in area by 37.3%, and a reduction in PDP by 37.1% without sacrificing the speed. Although the KSA is faster, the proposed CLA achieves a reduction in power by 39.6%, a reduction in PDP by 6.5%, and a reduction in area by 55.6% in comparison.

This paper evaluates the performance of the gate diffusion input technique (GDI) on self-checking and self-resetting logic (SRL) GDI technique of carry select adder (CSA) and carry look-ahead adder (CLA) for different word lengths. In the proposed design adapting level restoration technique eliminates conductance overlap between n-MOS and p-MOS devices. The various self-resetting logic implementations for self-correcting of carry select adder and carry look-ahead adder can detect all single stuck faults in normal operation mode. Besides, two rail encoding technique is used in carry select adder are used for multiple error detection/correction. The SRLGDI setup consists of a pair of full adders, multiplexers, two rail checking, and self-resetting logic. In this technique, the self-checking carry select adder is used for reducing area and self-resetting improves the performance of the adder. The analysis of CSA and CLA with 180nm technology is simulated by using Cadence tools. The delay reduction is 12.836% for 8-bit CLA using SRL GDI, power reduction is 27.55% for 8-bit CSA using SRL-GDI compared to the gate diffusion input technique. This GDI technique implementation saves the average energy consumption up to 31.14% in CSA and 32.83% in CLA making it suitable for power optimization in high speed VLSI systems.

The adder is the most important and basic circuit component in the computer arithmetic area. Among the various kinds of adders, the CLA (Carry Lookahead Adder) is generally considered the fastest and most complex adder. The complexity is closely related to power consumption, and a more complex one may require more power consumption. In this paper, we explore the relationship between the generation signal and the propagation signal of the CLA, and we present a low power consumption CLA by taking advantage of the conditional don't care that exists in the generation and propagation signals. Our results show that this proposed CLA can reduce switching activity by 9-11% comparing to a conventional CLA.