IMPLEMENTATION OF CMOS ADDER FOR AREA & ENERGY EFFICIENT ARITHMETIC APPLICATIONS

The most fundamental arithmetic operation is addition which is used in a digital data path logic system. Arithmetic and logic units , Microprocessors ,etc. are some examples where we need to use arithmetic operations for processing data, for calculating addresses respectively .There are different architectures for building adder circuit .For example:1)carry look ahead adder(CLA),2)carry propagate adder(CPA),3)carry save adder(CSA), & 4)carry select adder(CSLA) . Among these different architectures CSLA is a particular way of implementing adder that performs addition rapidly and are used for faster addition in many data processing processors .From observation of the carry select adder architecture we can see that there is scope for modification in order to significantly minimize the area and power consumed by the circuit. In this work we are going to propose simple and efficient modification at gate-level structure in CSLA. Based on this 16-, 32-bit square root CSLA (SQRT CSLA) have been developed & compared with regular structure. The proposed architecture design has reduced area & power consumption compared to regular structure with slight increase in delay. The evaluation of the proposed design is done based on delay, area & power performance metrics. The results show that proposed CSLA design is better than regular SQRT CSLA

Design of 16-bit Heterogeneous Adder Architectures Using Different Homogeneous Adders

ABSTRACT: 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

16-bit Digital Adder Design in 250nm and 64-bit Digital Comparator Design in 90nm CMOS Technologies

High speed, low power, and area efficient adders and comparators continue to play a key role in hardware implementation of digital signal processing applications. Adders based on Complimentary Pass Transistor Logic (CPL) are power and area efficient, but are slower compared to Square Root Carry Select (SQRT-CS) based adders. This thesis demonstrates a unique custom designed 16-bit adder in 250-nm CMOS technology to obtain fast and power/area efficient features by combining CPL and CS logic. Comparing the results obtained for proposed 16-bit Linear CPL/CS adder with the BEC (Binary Excess-1 Code) based low power SQRT-CS adder, the delay is reduced by approximately one thirds, power is reduced by 19.2%, and the number of transistors is reduced by 23.4%. Also, new tree-based 64-bit static and dynamic digital comparators are presented in this thesis to perform high speed and low power operations. This tree-based architecture combines a new approach of designing dynamic comparator using a low duty cycle clock to reduce the short circuit power consumption in pre-charge (or pre-discharge) mode. This work also introduces a new sizing strategy and load balancing techniques to improve self-pipelining tendency of a tree based design. A resource sharing technique is also integrated in both static and dynamic comparator designs. At 1.2V power supply in CMOS 90nm technology, worst path delay and worst power are 374ps and 822µW, respectively for low cost static design with 1244 (768+476) transistors in total. 768 transistors are used for resource sharing. The proposed full and partially dynamic designs show superior power efficiency compared to recent state of art designs. The worst power consumptions at 5GHz and 25% (50ps) duty cycle clock for the 64-bit full and partially dynamic comparator designs are 5.00mW and 2.78mW, respectively. 769 (320+449) transistors includes 320 transistors for resource sharing, and 1217 (768+449) includes 768 transistors for resource sharing for full and partial dynamic comparators, respectively

Low-Power and Area-Efficient Carry Select Adder

Carry Select Adder (CSLA) is one of the fastest adders used in many data-processing processors to perform fast arithmetic functions. From the structure of the CSLA, it is clear that there is scope for reducing the area and power consumption in the CSLA. This work uses a simple and efficient gate-level modification to significantly reduce the area and power of the CSLA. Based on this modification 8-, 16-, 32-, and 64-b square-root CSLA (SQRT CSLA) architecture have been developed and compared with the regular SQRT CSLA architecture. The proposed design has reduced area and power as compared with the regular SQRT CSLA with only a slight increase in the delay. This work evaluates the performance of the proposed designs in terms of delay, area, power, and their products by hand with logical effort and through custom design and layout in CMOS process technology. The results analysis shows that the proposed CSLA structure takes only 30.385 ns which is better than the regular SQRT CSLA

FPGA Implementation of Area, Delay and Power Efficient Carry Select Adder Architecture Design

The arithmetic operations involved in conventional carry select adder (CSLA) and binary to excess-1 converter (BEC)-based CSLA are analyzed. CSLA have great scope by reducing area, power consumption delay. However the regular CSLA is still area consuming due to dual RCA structure, for reducing the area The CSLA can be implemented by using single ripple carry adder (RCA) and BEC converter. In this paper, we present an innovative CSLA architecture which replaces the BEC using D-latch. Substantiation of proposed design is done through design and implementation of 16-bit adder circuit. Simulated result shows that the proposed architecture achieves two advantages in terms of area and delay. Implementation is done in Artix7 FPGA kit. For simulation Xilinx ISE 14.7 is used. DOI: 10.17762/ijritcc2321-8169.15051

Design of ALU and Cache Memory for an 8 bit ALU

The design of an ALU and a Cache memory for use in a high performance processor was examined in this thesis. Advanced architectures employing increased parallelism were analyzed to minimize the number of execution cycles needed for 8 bit integer arithmetic operations. In addition to the arithmetic unit, an optimized SRAM memory cell was designed to be used as cache memory and as fast Look Up Table. The ALU consists of stand alone units for bit parallel computation of basic integer arithmetic operations. Addition and subtraction were performed using Kogge Stone parallel prefix hardware operating at 330MHz. A high performance multiplier was built using Radix 4 Modified Booth Encoder (MBE) and a Wallace Tree summation array. The multiplier requires single clock cycle for 8 bit integer multiplication and operates at a maximum frequency of 100MHz. Multiplicative division hardware was built for executing both integer division and square root. The division hardware computes 8-bit division and square root in 4 clock cycles. Multiplier forms the basic building block of all these functional units, making high level of resource sharing feasible with this architecture. The optimal operating frequency for the arithmetic unit is 70MHz. A 6T CMOS SRAM cell measuring 90 µm2 was designed using minimum size transistors. The layout allows for horizontal overlap resulting in effective area of 76 µm2 for an 8x8 array. By substituting equivalent bit line capacitance of P4 L1 Cache, the memory was simulated to have a read time of 3.27ns. An optimized set of test vectors were identified to enable high fault coverage without the need for any additional test circuitry. Sixteen test cases were identified that would toggle all the nodes and provide all possible inputs to the sub units of the multiplier. A correlation based semi automatic method was investigated to facilitate test case identification for large multipliers. This method of testability eliminates performance and area overhead associated with conventional testability hardware. Bottom up design methodology was employed for the design. The performance and area metrics are presented along with estimated power consumption. A set of Monte Carlo analysis was carried out to ensure the dependability of the design under process variations as well as fluctuations in operating conditions. The arithmetic unit was found to require a total die area of 2mm2 (approx.) in 0.35 micron process

Implementation of Fast, Low Power and Area Efficient Carry Select Adder

One of the fastest adders is Carry Select Adder (CSLA) and it perform fast arithmetic functions in many data processing processors. A conventional CSLA has less carry propagation delay (CPD) than ripple carry adder (RCA). A compromise between RCA and carry look ahead adder is provided by Carry select adder. For the CSLA new logic is proposed by reducing redundant logic operations present in conventional CSLA. In the proposed scheme, schedule the carry select (CS) operation before final sum calculation. which is different approach from the conventional. Two carry words ( cin = 0 and 1) bit patterns and fixed cin bits use for generation units and CS logic optimization. Optimized logic units is used to obtain an efficient CSLA design. The proposed work is carried out using Modelsim SE 6.3f and Quatus2 software. DOI: 10.17762/ijritcc2321-8169.16046

Formal Verification of an Iterative Low-Power x86 Floating-Point Multiplier with Redundant Feedback

We present the formal verification of a low-power x86 floating-point multiplier. The multiplier operates iteratively and feeds back intermediate results in redundant representation. It supports x87 and SSE instructions in various precisions and can block the issuing of new instructions. The design has been optimized for low-power operation and has not been constrained by the formal verification effort. Additional improvements for the implementation were identified through formal verification. The formal verification of the design also incorporates the implementation of clock-gating and control logic. The core of the verification effort was based on ACL2 theorem proving. Additionally, model checking has been used to verify some properties of the floating-point scheduler that are relevant for the correct operation of the unit.Comment: In Proceedings ACL2 2011, arXiv:1110.447