 Open Access
 Authors : Shahanaz. P. M , Anjali Rajan
 Paper ID : IJERTV11IS060234
 Volume & Issue : Volume 11, Issue 06 (June 2022)
 Published (First Online): 24062022
 ISSN (Online) : 22780181
 Publisher Name : IJERT
 License: This work is licensed under a Creative Commons Attribution 4.0 International License
Implementation of 4*4 Fast Vedic Multiplier using Power Gated GDI Technique
Shahanaz.P.M
Electronics and Communication Engineering Department IES College of Engineering
ThrissurKerala, India
Anjali Rajan,
Assistant Professor
Electronics and Communication Engineering Department IES College of Engineering
ThrissurKerala, India
AbstractMultipliers are used in the building blocks of several processors. Conventional multiplication is a time consuming and lengthy process; to overcome these drawbacks the circuit designers must develop speedy multipliers. Vedic multipliers can be utilized for the highspeed multiplication process. In Designing CMOS circuits, an issue of the area is always there, to reduce this Gate Diffusion Input (GDI) technique can be used. The GDI concept assists in the reduction of Transistor Count (TC), due to this power dissipation is minimized. Leakage power has become a serious issue in the microelectronic circuit design as the technology scales down to a deep submicron process. The new architecture includes a power gating technique using a sleep transistor. Sleep transistor technique is a simple concept to mitigate the effect of leakage power which uses extra transistors to turn off power supplies in the logic circuit during standby mode.
KeywordsMultipliersHalf Adder, Full Adder, Vedic Mathematics, GDI, Vedic Multiplier, Power gating.
I. INTRODUCTION
Today most of the processors require a very highspeed operation. Arithmetic operations such as addition, subtraction and multiplication are deployed in various digital circuits to speed up the process of computation. Multiplication is the most important arithmetic operation in signal processing and itsapplications. All the signal and data processing operations like digital signal processing involve multiplication. As speed is always a constraint in the multiplication operation, an increase in speed can be achieved by reducing the number of steps in the computation process. In any digital system design, the three main performance parameters that determine the performance of the system are power, power, and speed. In the work presented, a combination of Vedic multiplier and GDI logic is explored for the design of the 4×4 multiplier. Very little work has been reported in the literature for a combination of GDI and Vedic multiplication at the circuit level. The (DC) direct current analysis of the basic inverter is carried out to calculate the W/L ratios of transistors for different supply voltages.
The Vedic multiplier is designed using Vedic mathematics. It is named as an early mathematics, it was discovered by Shri Bhartiya Krishna Tirtha Maharaja. It is based on an idea where the productions of all partial products are completed by the simultaneous addition of partial product. Vedic mathematics has 16 Sutras which helps in solving mathematical operation, algebra and geometry. For the multiplication, UrdhvaTiryagbhyam method is used. In UrdhvaTiryagbhyam Sutra multiplication is done in vertical
and cross wise operation. To reduce the power, Vedic multiplier technique is used.
A 4×4 multiplier is implemented by the amalgamation of Vedic multiplier and GDI logic. Implementation of a multiplier is done by using CMOS technique as well as GDI technique and these are compared with each other, the result of GDI technique leads to less delay. While designing a 4bit multiplier, the half adders, as well as full adders, are the main basic blocks in a multiplier.
Our proposed system consists of a sleep transistor. The sleep transistor technique can be introduced as the simplest approach to reduce these leakage currents. The sleep transistor technique includes additional transistors in the pull down and pull up circuits. There are two modes of operation; active and standby mode. In the former mode of operation, additional transistors are turned on and the normal operation takes place. The logic circuits will be disconnected in the latter mode because additional transistors are in off state. This technique, thus by detaching the logic networks from the power supply and ground, lowers the standby mode leakage power.
II.VEDIC MULTIPLIER AND GDI
A multiplier is one of the key hardware blocks in most of the processors. Multiplication is a lengthy, timeconsuming task. Vedic multiplication in fieldprogrammable gate array implementation has been proven effective in reducing the number of steps and circuit delay. Conventionally at the circuit level, complementary metaloxidesemiconductor (CMOS) logic is used to design a multiplier. In CMOS circuits, the area is always an issue. Gate diffusion input (GDI)based logic has been explored in the literature to reduce the number of transistors for various logic functions. Thus, Vedic mathematics, on the one hand, simplifies the multiplication process and reduces the delay; while on the other hand, GDI technique helps in minimizing the transistor count (TC) and reduction in power. Therefore, this study puts forth a GDI logicbased Vedic multiplier.
To study the effectiveness of the GDI logic, the transient response of a 2bit Vedic multiplier using CMOS and GDI is compared. For the 4bit Vedic multiplier, two design approaches are taken into consideration. The performance of these circuits is analyzed in terms of average power dissipation, delay, and TC. The effect of supply voltage scaling is also studied. The circuit simulations are carried out at 180 nm for bulk metal oxide semiconductor field effect
transistor predictive technology modelbased device parameters.

VEDIC MULTIPLIER FOR 2×2 BIT
Vedic mathematics is part of four Vedas (books of wisdom). It is part of Sthapatya Veda (book on civil engineering and architecture), which is an upaveda (supplement) of Atharva Veda. It gives explanation of several mathematical terms including arithmetic, geometry (plane, coordinate), trigonometry, quadratic equations, factorization and even calculus. The 2×2 vedic multiplication flow and architecture is shown in fig.1 and fig.2.
Fig. 12×2 Vedic multiplication
Fig.2 2 Bit Vedic Multiplier

GATE DIFFUSION INPUT TECHNIQUE (GDI)
Morgenshtein et al. invented the GDI logic in 2002. To prove the practicability of GDI, an 8bit carry lookahead adder (CLA) was fabricated and tested which showed 45% reduction in the powerdelay product than CMOS. Moaiyeri et al. demonstrated a GDIbased threeinput XOR gate. It was found to be both area and powerefficient. The basic GDI cell is shown in fig.3. The The basic difference in GDI and CMOS is seen in a twoinput AND gate . AND gate is 2T in GDI, also, the AND gate followed by an inverter forms a NAND gate. Therefore, the NAND gate is 4T. For delay calculation, the logic effort of the circuit is estimated. The logical effort is the capacitance seen by the input of the NAND gate to that of an inverter. Assuming, the pMOS to nMOS sizing ratio to be 2:1. The capacitance seen by the input A is 3 and it is used to find logical effort. For the two input CMOS NAND gate, the logical effort is 4, while for GDI it is 1. Therefore, GDI is believed to be an areaefficient technique with reduced logical effort.
Fig 3. The Basic GDI Cell

PROPOSED ARCHITECTURE
Sleep transistor technique is a simple concept to mitigate the effect of leakage power which uses extra transistors to turn off power supplies in the logic circuit during standby mode.
The sleep transistor technique can be introduced as the simplest approach to reduce these leakage currents. The sleep transistor technique includes additionaltransistors in the pull down and pullup circuits. There are two modes of operation; active and standby mode. In the former mode of operation, additional transistors are turned on and the normal operation takes place. The logic circuits will be disconnected in the latter mode because additional transistors are in off state. This technique, thus by detaching the logic networks from the power supply and ground, lowers the standby mode leakage power.
Fig.4 shows the basic block diagram of the proposed 4×4 fast Vedic multiplier with power gating technique. The 4×4 multiplier is designed using four 2×2 vedic design. If any of the input pair is zero, then that particular 2×2 multiplier is turned off.
For example, for first 2×2 vedic multiplier the inputs are A1A0 and B1B0. If both the input of any one of the operand is zero, the entire product of that multiplier is zero. This multiplication process can be avoided using power gating logic.
(A1  A0) & (B1  B0) =0—— (1)
When the condition present in equation 1 is satisfied then power gating is applied. If A1=0 and A0=0 or B1=0 and B0=0 then entire multiplier calculation is avoided using power gating logic. The similar logic followed for all four 2×2 vedic multipliers to minimize the unwanted transitions.
Fig.4 Vedic 4×4 multiplier with power gating

RESULTS AND DISCUSSION
The timing diagram and the power dissipation for the proposed 4×4 Vedic multiplier are discussed in this section. Circuit simulation is made by Microwind DSCH2 tool. The layout and power consumption is calculated in Microwind tool for 90nm technology. Half adder and full adder are implemented using GDI technology, and it is used to design 2×2 vedic multiplier. The result of GDI is having low power dissipation compared to conventional CMOS design. Fig.5 shows the schematic diagram of existing 4×4 vedic multiplier with GDI based full adder and half adder.
Fig.6 shows the schematic of proposed 2×2 vedic multiplier with power gated logic. The operand pair is checked for zero condition based on which sleep transistor performs the gating function. Fig.7 shows the schematic of 4×4 vedic multiplier using four 2×2 design each incorporated with power gating logic. Fig.8 shows the layout of proposed multiplier for 90nm technology.
Fig.5 Scematic diagram of existing 4×4 vedic multiplier
Fig.6 Scematic diagram of 2×2 vedic multiplier with power gating logic
Fig.7 Scematic diagram of 4×4 vedic multiplier with power gating logic
Fig.8 Layout of 4×4 vedic multiplier for 90nm
Fig.9 Power result of existing vedic multiplier
much less speed, especially it shows nearly 5060% of power than the existing. So, it can be used for future IC'S for area & power Efficiency
Fig.10 Power result of proposed vedic multiplierbased on power gating
Fig. 9 and 10 shows the power result of existing and proposed multiplier. For 90nm technology existing multiplier consumes 0.151mW and using power gating technique it is reduced to 0.107mW. Fig.11 shows the simulation result obtained using DSCH2 tool for its functional verification.
Fig.11 Simulation result of 4×4 Vedic Multiplier

CONCLUSION
In this article, a 4 2*2 Vedic multiplier with high speed and reduced complexity can be designed since there is parallelism in the partial product generation. The Vedic multiplier is thus optimized in terms of speed, area and power. While applying leakage power reduction techniques using various sleep transistor approaches, the returns for power and delay can be correlated. The leakage power reduction can be attained more in standby mode than active mode. The presence of additional transistors in the circuit causes anhigh increase in propagation delay. Of all the techniques, power gating achieves more powersaving and increases speed. Drain gating technique has more leakage reduction in active modeCircuit complexity reduces, with the concept of GDI and Vedic mathematics. The highspeed adders are designed using the GDI technique, which are used to reduce power dissipation with increased speed. It is achieved due to decrease in transistor counts. The power gated sleep method is a new remedy for designers. This technique shows the least speed power product among all techniques. The Proposed technique achieves ultralow leakage power consumption with
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