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1. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 Low-power Full Adder array-based Multiplier with Domino Logic M.B. Damle1, Dr. S. S. Limaye2 ABSTRACT unnecessary transistors . Dynamic logic andA circuit design for a low-power full adder especially domino logic could play anarray-based multiplier in domino logic is important role in -the future integrated circuits.proposed. It is based on Wallace tree Domino logic circuits have many advantagestechnique. Clocked architecture results in such as high speed of operation, minimum used area, low noise margins, and the mostlower power dissipation and improvements important of all, they offer potential powerin power-delay product. The proposed consumption savings since the overall gatetechnique is general and can be used in all capacitance is smaller than their staticdomino logic circuit designs. Higher order counterparts [4-7]. For this reason circuitmultipliers like 16x16, 32x32 may also be design using domino logic tends to be a veryimplemented using 4x4 bit multiplier and attractive method for high performance, low- power designs.hence a modular design is presented byconstructing an 8x8 multiplier using The potential of domino logic in designing lowmultiple 4x4 multipliers. Average power power circuits is investigated in this paper. Asand TannerTool report for 8x8 Multiplier is an example, the popular array multiplier isas follows, Device and node counts: employed, which is based on a Wallace treeMOSFETs – 2572, MOSFET geometries - 2 diagram technique. In this paper, we introduceMeasurement result summary Average a modular multiplier implementation using domino logic. The organization of this paper isPower found to be 0.11108 microwatt as follows. In section 2 the basic structure of the domino logic is presented. The basic circuits used in multiplication using domino 1. INTRODUCTIONMultiplier plays a significant role in high logic circuits is explained in section 3.speed digital signal processing. It‟s the most Implementation of multiplier is presented inimportant part of the Arithmetic Logic Unit section 4. Section 5 gives the simulation(ALU), FPU and ASIC‟s where high results obtained in SPICE.processing speed is required. Currently, theimportance of low power design increases 2. STRUCTURE OF THE DOMINOrapidly due to the increasing demand for LOGICportable and mobile systems. The basic structure of domino logic is shownMany different types of low power multipliers in Fig. 1. It is a non-inverting structure, andare proposed, and fabricated as benchmarks consists of a nMOS transistor network, whichfor demonstrating various high-speed implements the required logic function, twotechnologies in many applications [1-3]. transistors (an nMOS and a PMOS) where theLow power design techniques require special clock signal is applied and synchronizes theattention to avoid significant increment of the operation of the circuit, and a static CMOScircuit‟s area or sacrifice in the speed inverter which provides the circuit‟s output.performance of the systems. In CMOStechnology power consumption can be reducedby decreasing the nodal capacitance,decreasing the power supply voltage orthrough architecture refinements, where thetotal power may be reduced by eliminating 6 All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 EVALUATING PHASE, the clock signal CLK is „logic 0‟, and the corresponding output signal SUM will be evaluated according to the input signals A, B, and Cin. F Fig.1 Basic structure of Domino LogicThe period where CLK is low is called the Fig 2. SUM Circuitprecharge phase. In this phase the internalnode, F is charged to power supply voltage B. The Circuit for CARRYOUT Operationwhile the output node, F, is discharged to Fig. 3 shows the schematic of theground. The period where CLK is high is CARRYOUT circuit. The core of this circuit iscalled the evaluation phase. In this phase the the domino logic that implements the functionvalues of the inputs determine the discharge (F of CARRYOUT. This circuit will stay in= 0) or not (F = 1) of the internal node The standby phase when the clock signal CLK isinverter in the output of a domino logic circuit „logic 1‟. It will turn in the evaluating phase ifis included for several reasons. First, it is the clock signal CLK is „logic 0‟. For the high-required for proper operation of a chain of speed operation, the inverter I1 is designed indomino gates. Second, the internal node F is a multi-threshold methodology where a low-Vtweak node, when the clock is high, the high PMOS transistor is connected with a high-Vtvalue on that node is not driven . NMOS transistor such that the „logic 0‟ can pass the inverter at a higher speed. III. Basic Circuits for Constructing MultiplierDesign of Full Adder and AND gate ispresented in this section. The full adder isdivided into two subcircuits. One is the circuitfor SUM operation, and the other is thecircuit for CARRYOUT operation. A. TheCircuit for SUM Operation Fig. 2 shows theschematic of the SUM circuit. The SUMcircuit is composed of two XOR gates. The Fig.3: CARRYOUT CircuitXOR gate is modified from the cross-coupledversion by replacing the NMOS portion with a Domino Logic AND Gateclock gated NMOS. In this circuit, the PMOStransistors receive the input signal A, B, andCin. The operation of this circuit can bedivided into two phases: the IDLE PHASE andthe EVALUATING PHASE. In the IDLEPHASE, the clock signal CLK is „logic 1‟, andthe output signal SUM will be „logic 0‟. In the 7 All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 Fig.5 : 4x4 Array MultiplierFig.4: 2 input AND Gate using Domino Logic The simulation results for 4x4 multiplier is shown in next section. IV Implementation of Multiplier For modular design a 8x8 multiplier isA 4x4 bit Array multiplier is constructed as the constructed using multiple blocks of 4x4basic building block for higher order multipliers using the structure show below.multipliers. In Fig. 5 the block diagram of themultiplier architecture is shown. Let 1 be theword length of multiplicand, and k be the wordlength of the multiplier . A full adder arraybased multiplier contains l x k AND gates and1 x (k - I ) 1-bit full adders. To show thecharacteristics improvement achieved by theproposed technique, a 4 x 4 bit multiplier hasbeen implemented, by using the conventional Fig.6: 8x8 Multiplier using 4x4 Multipliersdomino logic. As an example, a 0.5pm CMOStechnology with power supply voltage Vdd = In this case the numbers X and Y are first split5V, and threshold voltage VTN = 0.65V was into two parts as XH-XL and YH-YL. Theused. products XL*YL, XH*YL, XL*YH and XH*YHFollowing is the dot notation for the Wallace are then calculated in parallel using 4 arraytree multiplication and partial product matrix multipliers. These products are then added tofor two 4 bit numbers X and Y. get the final product P15-P0. V Simulation Results All the circuits in section 3 and 4x4 array multiplier in section IV are tested for verification of functionality by applyingWhere Zij = XiYj sample inputs and observing outputs. The average power of the 8x8 Multiplier block is calculated in TannerTools T-SPICE and is presented in this section at the end. Part A: Verification 8 All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 Implemented in Tanner-13, for low power microwatts and high speed in GB CONCUSIONS In this paper a new modular multiplier using domino logic has been proposed. Significant power savings can be achieved while a trade off between power and delay can be adjusted for meeting the circuit design specifications. Fig.7 Simulation Result for AND gate This is achieved by the efficient way of the realization multiplier using array of 1 bit full adder. REFERENCES Fig.8 Simulation result for 1 bit full adder G. E. Sobelman and D. L. Raatz, “Low-Power Multiplier Design Using Delayed Evaluation”, in Proc. of IEEE International Symposium on Circuits and Systems, pp. 1564-1567, 1995. N. Weste, and K. Eshraghian, “Principles of CMOS VLSI Design”, Addison-Weslet Publishing Company, 1992. J. H. Satyanarayana and K. K. Parhi, “ A Theoretical Approach to Estimation of Bounds on Power Consumption in Digital Multipliers”, IEEE Trans. on Circuits and Systems II, vol. 44, no. 6, pp. 473-481, June 1997. Fig.9: Simulation result for 4x4 Array C. Farnsworth, D. A. Edwards and S.S. Sikand, Multiplier Utilising Dynamic Logic for Low Power Consumption in Asynchronous Circuits”, in Proc.of lEEE ISARACS, Salt Lake City, Utah, USA,Nov. 1994. D. V. Campenhout, T. Mudge and K. Sakallah, “Timing Verification of Sequential Domino Circuits,” in Proc. of IEEE/ACM International Conference on Computer-Aided Design, pp. 127- 132, 1996 A. P. Chandrakasan, and R. W. Brodersen, “Low Power Digital CMOS Design,” Kluwer Academic Publishers, 1995. J. M. Rabaey, M. Pedram, “Low Power Design Methodologies”, Kluwer Academic Publishers, 1996. D. V. Campenhout, T. Mudge and K. Sakallah, “Timing Verification of Sequential Domino Circuits,” in Fig.10 Simulation result for 8x8 Multiplier Proc. of IEEE/ACM International Conference on Computer-Aided Design, pp. 127- 132, 1996Average power and TannerTool report for 8x8 Chuen-Yau Chen and Yung-Pei Chou “Novel Low-Power 1-bit Full Adder Design” 2009 IEEEMultiplier is as follows,  A. Rjoub and 0. Koufopavlou “Low-Power DominoDevice and node counts: Logic Multiplier Using Low-Swing Technique” MOSFETs - 2572 MOSFET Kang,J.Y.,& Gaudiot, J.L.(2006) A simple high-geometries - 2 speed multiplier design. IEEE Transactions on Computers, 55(10) 1253-1258.Measurement result summary avgpower = 1.1108e-007 9 All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012Authors : M.B.Damle, Associate Professor, RCOEM, Nagpur, M.S. from BITS PILANI RAJASTHAN, SMIEEE, FIETE,CE (IE), Dr.S.S.Limaye, Ph.D. Electronics, Principal, Zhulelal C.O.E. Nagpur. SMIEEE, FIETE,CE (IE), 10 All Rights Reserved © 2012 IJARCET