Multipliers are the important unit in digital systems and other applications related to digital processing [1]. Several researchers have tried designing the multipliers which met either one of the two constraints i.e. low power consumption and low area utilization and the high speed or a combination of them. The multiplication algorithm uses add and shift methodology [2]. Variety of partial product values is superimposed on the parallel numbers to enhance the performance of the multipliers. To implement speed constraint **Baugh** **Wooley** **multiplier** algorithm is used.

Given a number of low-precision multiplications, their total size needs to be smaller or equal to the full-precision multiplicationThe basic operation of generating a partial product is that of a 1-bit multiplication using a two-input AND gate, where one of the input signals is one bit of the **multiplier** and the second input signal is one bit of the multiplicand. The summation of the partial products can be done in many different ways, but for this investigation we are only interested in parallel multipliers that are based on 3:2 full adders.2 For this first implementation an array of adders will be used because of its close resemblance to the previously used illustration of a multiplication; previous section we assumed that there is a way of setting unwanted partial products to zero. This is easily accomplished by changing the two-input AND gate to a three-input AND gate, where the extra input can be used for a control signal. Of course, only the AND gates of the partial products that have to be set to zero need to be changed to a three-input version. During normal operation when a full-precision multiplication is executed the control signal is set to high, thus all partial products are generated as normal and the array of adders will sum them together and create the final result.

Multiplication is a heavily used arithmetic operation that figures distinguished in signal processing and scientific applications. Typical DSP applications where a **multiplier** plays an important role include digital filtering, digital communications and spectral analysis. Many current DSP applications are aimed at portable, battery- operated systems, so that power dissipation circuits and must typically operate at a high system clock rate, dropping the delay of a **multiplier** is a vital part of satisfying the overall design. The ALU is the core in DSP and ASIC where it is used in comparison, convolution, correlation, and digital filters. An ALU combines a variety of arithmetic and logic operations into a single unit. The speed of ALU greatly depends on its **multiplier** circuit. This in turn increase demand for high speed multipliers, at the same time keeping in mind low area and moderate power consumption. Generation of partial product and their accumulation are the two basic operation of multiplication. A binary **multiplier** is an electronic circuit used

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recursive algorithm for performing multiplication in number of digital signal processing applications. The crictical path delay is reduced by using this algorithm and the speed is enhanced. In this research paper a high speed **multiplier** is designed and implemented using decomposition logic and **Baugh**-**Wooley** algorithm. The outcome is compare with vedic and modified booth **multiplier**. FPGA based architecture is presented and design has been implemented using Xilinx 12.3.Here the number of partial products has been reduced and its performance has been increased. We apply the **Baugh**- **Wooley** algorithm in different Multipliers and the **Baugh**-**Wooley** multipliers exhibit less delay, less power dissipation and smaller area than vedic and modiﬁed- Booth multipliers.

In the paper [1], a high performance 32-bit radix-2 fixed point complex number MAC is proposed, where the real and imaginary parts can be computed by sending the previous MAC result as one of the partial product to the present multiplication. So the depth of the MAC is equal to the depth of the **multiplier**. And hence the separate accumulator circuit is avoided. The experimental results are showing the proposed fixed point complex number MAC is giving better performance than the conventional fixed point complex number MAC. The proposed architecture achieves an improvement factor of 32.4% in Wallace tree and 19.1% in Braun **multiplier** based fixed point complex number MAC without pipeline using 45 nm technology library. The same architecture achieves an improvement factor of 14.6% in Wallace tree and 12.2% in Braun **multiplier** based fixed point complex number MAC with pipeline. In paper [2], fixed- width modified **Baugh** **Wooley** **multiplier** has been realized using Virtex-7, Artix-7 and Zynq- 7000 FPGAs. The design has been coded in VHDL using modular approach. The performance of the **multiplier** is evaluated based o n area, speed and power using different design optimization goals such as balanced, area reduction, timing performance and power optimization. Optimal results are obtained with balanced approach as compared to other techniques. As a future work, a generic reconfigurable power efficient and low-error fixed-width **Baugh**-**Wooley** **multiplier** will be realized in FPGA and its performance will be analyzed and compared with other **multiplier** architectures. Where as in paper [3], an optimized co-processor unit, designed specifically for executing the DSP application is proposed. It can be used as a co-processor for the ACORN ARM processor. The co-processor comprises of one MAC unit, control unit, a 32 bit output registers and register files for storing the input values

High performance, energy efficient logic style is a popular research topic in the field of very large scale integrated (VLSI) circuits. A complex constant logic style is used to implement a logic expression to achieve high speed operation. This logic style is well suited for arithmetic circuit where critical path comprises of large cascaded inverting gates. Multiplication is a most utilized arithmetic operator that forms a part of filters, convolvers, and transforms processors in digital signal processing applications. This paper focuses on the design of the Wallace tree **multiplier**, **Baugh** **wooley** and Array **multiplier** using static logic style, dynamic logic style and compound constant delay logic style .The performance of energy delay product of Wallace tree **multiplier**, array **multiplier** and **Baugh** **wooley** **multiplier** using compound constant delay logic style is reduced considerably while compared to static and dynamic logic style.

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The Wallace tree **multiplier** using new improved 14-transistor adder circuits presented in this research are good candidates to build these large systems, such as high performance FIR filters with low power consumption. In transistor count will small increase of this adder. It can significantly reduce the latency of the systems. Also the area occupied by Wallace tree **multiplier** using new improved 14T adder is reduced significantly as compared to other types of **multiplier** architectures. Thus, **multiplier** analysis, it is concluded that the implementation of the NEW adder in the **multiplier** structure give the demanding results.

Portable multimedia and digital signal processing (DSP) systems, which typically require flexible processing ability, low power consumption, and short design cycle, have become increasingly popular over the past few years. Many multimedia and DSP applications are highly multiplication intensive so that the performance and power consumption of these systems are dominated by multipliers. The computation of the multipliers manipulates two input data to generate many partial products for subsequent addition operations, which in the CMOS circuit design requires many switching activities. Thus, switching activity within the functional unit requires for majority of power consumption and also increases delay. Therefore, minimizing the switching activities can effectively reduce power dissipation and increase the speed of operation without impacting the circuit’s operational performance. Besides, energy- efficient **multiplier** is greatly desirable for many multimedia applications.

Multipliers play an important role in today‟s digital signal processing and various other applications. With advances in technology, many researchers have tried and are trying to design multipliers which offer either of the following design targets – high speed, low power consumption, regularity of layout and hence less area or even combination of them in one **multiplier** thus making them suitable for various high speed, low power and compact VLSI implementation.

Minimizing power consumption for digital systems involves optimization at all levels of the design. This optimization includes the technology used to implement the digital circuits, the circuit style and topology, the architecture for implementing the circuits and at the highest level the algorithms that are being implemented. Digital multipliers are the most commonly used components in any digital circuit design. They are fast, reliable and efficient components that are utilized to implement any operation. Depending upon the arrangement of the components, there are different types of multipliers available. Particular **multiplier** architecture is chosen based on the application.

When compared to the WT **multiplier** design, Dadda **multiplier** [12] has lesser delay. Reduction is taking place at each stage. To determine how number of reduction stages are required at every stage is determined by the formula. Here the reduction starts from the last stage. The last section has a stature of 2 lines. The former section tallness can be no bigger than (3*successor stature/2). This gives 2, 3, 4, 6, and so on as the greatest statures for the different past stages. The Dadda decrease at that point utilizes simply enough FA and HA to accomplish the breaking points for the section decrease stature. The schematic of 8 by 8 Dadda multipier is shown in the below figure 2. Here the reduction takes place in four stages which is similar to WT reduction stages. But the only difference is the number of FA and HA being utilized. The third intermediate section requires carry propagate adder.

The other side of the issue present facts in- volving a lot of reports indicating possible com- plications resulting from this type of procedure. Thacker and Banta showed that the majority of the complications of episiotomy have a more im- portant function in clinical practice than earlier assumed [2, 14]. As possible consequences, they further listed rupture of episiotomy, dyspareunia (painful sexual intercourse), perineal pain, long healing period, infection, as well as considerable loss of blood which makes further detailed exami- nation necessary in the discussed scope [14]. Simi- lar effects have also been shown by Mc Guiness et al. [15]. These authors also state that instrumen- tal delivery favours perineal trauma. The results obtained in their opinion suggest that perineal trauma in women who never had episiotomy heals better [14, 15]. Safrati and Marechaud even stated that the amount of blood lost during epi- siotomy is comparable to that lost during caesar- ean section [16]. Ejegard et al. similarly to their predecessors showed that episiotomy very often causes increased pain during sexual intercourse and reduces wetness of the vaginal vestible for a period of about 12–18 months after childbirth [17]. Buekens suggests that episiotomy does not prevent further perineal trauma but rather in- creases the risk [18]. Eason et al. even said that irrespective of the type, it does not reduce the risk of anal sphincter rupture [19]. Numerous reports in the last few years have shown that episiotomy, especially the medial type, as a procedure is dan- gerous, leading to rectal damage, gas and or stool incontinence or even the development of a recto- vaginal fistula as observed by Jander and Lyrenas [20] or **wooley** [21, 22], among Polish authors for example Korczyński reminds us of this fact. Similar consequences have been also reported by Haadem et al., adding to it necrosis and re- peated rupture of the anal sphincter [23]. Again, Swedish authors – rockner, Jonasson and Olund, based on their own personal research, stated that episiotomy did not prevent what it was meant to do in the long run, that is, consequences such as

The reconfigurable finite-impulse response (FIR) filters are one of the most widely implemented Components in Internet of Things systems that require flexibility to support several target applications while consuming the minimum amount of power to comply with the strict design requirements of portable devices. Due to the significant power consumption in the **multiplier** components of the FIR filter, various techniques aimed at reducing the switching activity of these multipliers have been proposed in the project. However, these techniques rarely exploit the flexibility on the algorithmic level, which can lead to additional benefits. In this project, FIR filter multipliers are (**baugh**- **wooley** **multiplier**, booth **multiplier**, modified booth **multiplier**) extensively characterized with power simulations, providing a methodology for the perturbation of the coefficients of baseline filters at the algorithm level to trade-off reduced power consumption for filter quality. The proposed optimization technique does not require any hardware overhead and it enables the possibility of scaling the power consumption of the filter at runtime, while ensuring the full baseline performance of any programmed filter whenever it is required.

In this, today’s world immeasurable analysis goes within the field of communication and signal processing applications. The FIR filter is mostly employed in filtering ap- plications to enhance the quality of the signal. In any processor, the performance of the system is based on the speed of the **multiplier** unit involved in its operation. Since **multiplier** forms the indispensable building blocks of the FIR filter system. Its per- formance has contributed in determining the execution of the FIR filter system. Also, due to the tremendous development in the technology, many approaches such as an array, Vedic methods are made to speed up the **multiplier** computations. The prob- lem in speed-up operation and resource utilization of hardware with all the conven- tional methods due to the critical path found in partial products has to be optimized using proposed method. This paper presents the implementation and execution of a FIR Filter design using Anurupye **multiplier**. Here the FIR filter is examined by using various **multiplier** algorithms such as Anurupye, Urdhava Tiryagbhyam, and array multipliers. The FIR filter is simulated for analyzing delay; area and power are meted out and lessened by utilizing proposed Anurupye **multiplier**. The FIR filter design utilizing proposed **multiplier** offers delay around 18.99 and only 4% of LUT slice uti- lization compared to existing methods. This architecture is coded in VHDL, simu- lated using the ModelSim and synthesized with Xilinx.

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ABSTRACT: Finite impulse response (FIR) filter is one of the important components in any DSP and communication systems. The output from the DSP processor is depends on the FIR filter, so need an efficient FIR filter design, to achieve an efficient output. Filter architecture contains many components; one of the main components is **multiplier**. Different types of multipliers are available in the digital circuits, but need an efficient **multiplier** design to get efficient filters. In the existing Wallace tree **multiplier** was designed and implemented using verilog HDL. This **multiplier** needs many gates to implement the design. So it takes more area and delay. To reduce the drawbacks in the existing system, to propose a new efficient **multiplier** named as Birecoder **multiplier**. It is one of the best **multiplier** in the digital circuit design. This **multiplier** overcomes the existing **multiplier** drawbacks. **Multiplier** is design by verilog HDL, after the design Wallace tree **multiplier** is compared with Birecoder, and analyzes the performance of the **multiplier**. Implement the design using Modelsim 6.3c and Xilinx ISE. Finally the designed multipliers are applied into the FIR filter, and show the best filte

Aging problem of transistors has a significant effect on performance of these systems and in long term, the system may fail due to delay problems, which can be reduced by using over-design approaches. This paper proposed an aging-aware variable-latency **multiplier** design with the AHL. The **multiplier** is able to adjust the AHL to mitigate performance degradation due to increased delay. The experimental results show that our proposed architecture with 16x16 multiplication using Wallace multiplication approach. It is area and power efficient design compared to the existing Urdhva Tiryakbhayam **multiplier**. The Verilog language is used for coding. The synthesis and simulation is carried out using Xilinx ISE 12.3i.

Vedic mathematics is the name given to the ancient system of mathematics which was used by people to calculate the problems of mathematics mentally and with high speed.Vedic mathematics is based on one of the four Vedas, ie., on the Atharvaveda. This system is based on 16 sutras by which any mathematical problem can be solved. Using one of this sutra an efficient Vedic **multiplier** can be designed.

In the results session , we show the QSD 4 Bit multiplication . For design QSD 4*4 bit multiplication , we use Peres gate based Reversible Logic gate for addition . It is getting used in multiplication of 4*1. Now 4*1 **multiplier** is using in 4*4 multiplication. For compare the results , we show the results for QSD multiplication by simple adder and QSD **multiplier** by Reversible Logic gate. For execute the program , we are using Sparten 2 device family , Device name is XC2S515, Package is CS144 and speed grad is -6. Complete FPGA device Family is XC2S15-6CS144.

Fig. 13 RTL Schematic for Proposed Structures The RTL Schematic of Proposed Structure is shown in Fig.13 which consists of a combinational multipliers and an accumulator. Combinational **multiplier** is a **multiplier** which is used to compute the final result by computing partial products in parallel. An accumulator is a storage device from where the final output is obtained.

Figure 1: Illustration of an unsigned 8-bit multiplication Achieving double throughput for a **multiplier** is not as straightforward as, for example, in an adder, where the carry chain can be cut at the appropriate place to achieve narrow-width additions. It is of course possible to use several multipliers, where at least two have narrow bit width, and let them share the same routing, but such a scheme has several drawbacks: The total area of the multipliers would increase, since several **multiplier** units are used. The use of several multipliers increases the fan out of the signals that drive the inputs of the multipliers.