Novel Reversible Variable Precision Multiplier Using Reversible Logic Gates (original) (raw)
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The development of conventional computing technologies faces many challenges for the last couple of decades. Power dissipation in today’s computer chips becomes dominant. Reversible computing is a promising alternative to these technologies, with applications in ultra-low power, nano computing, quantum computing, low power CMOS design, optical information processing, bioinformatics etc. In reversible logic the power dissipation can be minimized or even eliminated. In this paper, the 4x4 reversible multiplier circuit is proposed with the design of new reversible gate called RAM gate. The proposed multiplier circuit is efficient compared to the existing designs in terms of gate counts, garbage outputs, constant inputs and quantum cost. The design can be generalized to construct nxn reversible multiplier circuit.
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Multiplication is a fundamental operation in most signal processing algorithms. Multipliers have large area, long latency and consume considerable power. Therefore low-power multiplier design has been an important part in low-power VLSI system design. There has been extensive work on low-power multipliers at technology, physical, circuit and logic levels. A system's performance is generally determined by the performance of the multiplier because the multiplier is generally the slowest element in the system. Furthermore, it is generally the most area consuming. Hence, optimizing the speed and area of the multiplier is a major design issue. However, area and speed are usually conflicting constraints so that improving speed results mostly in larger areas. As a result, a whole spectrum of multipliers with different area-speed constraints has been designed with reversible logic gates. The reversible logic has the promising applications in emerging computing paradigm such as quantum computing, quantum dot cellular automata, optical computing, etc. In reversible logic gates there is a unique one-to-one mapping between the inputs and outputs.
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The reversible logic has received great attention in last few years due to their ability to reduce the power dissipation which is the main requirement in low power VLSI design. Multipliers are widely used in DSP for calculation of FFT, convolution, to perform MAC operation, and in microprocessors to perform ALU related operations. This paper proposes a 16X16 reversible multiplier using Toffoli gate Full adder which can multiply two 16-bit numbers. It is based on the two concepts, the partial products are generated in parallel using Toffoli gates, and the addition of partial products is carried out by using reversible full adder designed with modified TG gate. The designed multiplier is faster and has low hardware complexity. In addition to that the designed reversible multiplier is better than the existing counterparts in terms of power consumption, delay, Garbage inputs, outputs, and quantum cost. The designed 16-bit multiplier is modeled using Verilog HDL and functionality is verified with Xilinx Vivado 2016.2.
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Reversible logic gates are very much in demand for the future computing technologies as they are known to produce zero power dissipation under ideal conditions. Reversible circuits hold promise in futuristic computing technologies like low power VLSI, quantum computing, nanotechnology, optical computing etc. Reversible gates require constant inputs for reconfiguration of gate functions and garbage outputs that help in keeping reversibility. It is important to minimize parameters such as constant and garbage bits, quantum cost and delay in the design of reversible circuits. In this paper, new multiplier using Toffoli gate, Peres gate, Double Peres gate is proposed for minimization of constant input, garbage output, quantum cost.