International Conference on Electronics Computer Technology

Reversible Arithmetic Logic Unit

Y. Syamala, A. V. N. Tilak

Published Apr 1, 2011• 54 citations

Abstract

A function is reversible if each input vector produces a unique output vector. Reversible logic is of growing importance to many future computer technologies. In this paper, the design of a reversible Arithmetic Logic Unit (ALU) is presented making use of multiplexer unit as well as control signals. ALU is one of the most important components of CPU that can be part of a programmable reversible computing device such as a quantum computer. In multiplexer based ALU the operations are performed depending on the selection line. The control unit based ALU is developed with 9n elementary reversible gates for four basic arithmetic logical operations on two n-bit operands. The series of operations are performed on the same line depending on control signals, instead of selecting the desired result by a multiplexer. The later design is found to be advantageous over the former in terms of number of garbage outputs and constant inputs produced.

DOI: 10.1109/icectech.2011.5941987

Related papers

An Arithmetic and Logical Unit using Reversible Gates

Parth Khatter, Neeta Pandey, Kirti Gupta

This paper presents novel one bit arithmetic and logical unit (ALU) design using basic reversible gates. Two designs for both the arithmetic and the logical unit are proposed and one design for the control unit is also put forward. These designs are integrated together to give four complete ALU designs. Each of the proposed design has been implemented in Verilog HDL using Xilinx ISE Suite 14.1 software to verify its functionality. The proposed designs are compared based on quantum cost, garbage outputs and ancilla inputs with their existing counterparts. The simplicity and the reduced quantum cost of the proposed ALU designs, when compared to the existing ones, makes them ideal candidates to be used as modules in quantum computers. The proposed ALUs extend their applications to cryptography, machine learning and nanotechnology.

International Conference on Computing, Power and Communication Technologies (GUCON)Sep 1, 201819 citations

Reversible arithmetic logic unit for quantum arithmetic

Michael Kirkedal Thomsen, Robert Glück, Holger Bock Axelsen

This communication presents the complete design of a reversible arithmetic logic unit (ALU) that can be part of a programmable reversible computing device such as a quantum computer. The presented ALU is garbage free and uses reversible updates to combine the standard reversible arithmetic and logical operations in one unit. Combined with a suitable control unit, the ALU permits the construction of an r-Turing complete computing device. The garbage-free ALU developed in this communication requires only 6 n elementary reversible gates for five basic arithmetic–logical operations on two n -bit operands and does not use ancillae. This remarkable low resource consumption was achieved by generalizing the V-shape design first introduced for quantum ripple-carry adders and nesting multiple V-shapes in a novel integrated design. This communication shows that the realization of an efficient reversible ALU for a programmable computing device is possible and that the V-shape design is a very versatile approach to the design of quantum networks.

Journal of Physics A Mathematical and TheoreticalAug 16, 201096 citations

Design and implementation of arithmetic and logic unit (ALU) using novel reversible gates in quantum cellular automata

A. Kamaraj, P. Marichamy

In the current scenario, power consumption, speed, size and heat dissipation are the huge challenge in the semiconductor industries. When the size of the single computing element is reduced then the speed can be improved and also if the power dissipation is reduced then the heat dissipation will be less. The possible solution for these two problems is the Reversible Logic and Quantum Cellular Automata (QCA). The Reversible Logic is considered to be the promising technology to the future Quantum computer technologies. The Reversible Logic gates prune the power dissipation to a larger extent. In this paper Novel Reversible Gates are proposed with Reversibility and Universality. The Arithmetic and Logic Unit (ALU) is designed with the proposed Reversible Gates in Reversible Logic. The designed Arithmetic and Logic unit is evaluated in QCA with the required specifications. The Arithmetic and Logic Unit is designed by setting the control inputs for each unit. The parameters taken into account are Quantum Cost (QC), Garbage Outputs (GO), Constant Inputs (CI), Area, Number of Cells and Simulation Time. The proposed ALU adopting Novel gates finds utilization in low power applications. Also it can be used as the module in the Quantum computers due to its reduced Quantum Cost and Garbage outputs. The Proposed design extends its applications over Quantum Computing, Optical Computing, Nanotechnology and DNA mapping.

International Conference on Advanced Computing and Communication Systems (ICACCS)Jan 1, 201721 citations

Optimized designs of reversible arithmetic logic unit

Ali Bolhassani, Majid Haghparast

Reversible logic has emerged as a promising paradigm in various domains, such as low power VLSI design, quantum cellular automata, and nanotechnology-based systems. The arithmetic logic unit (ALU) is one of the main components of any central processing unit. In this paper we propose two new reversible ALUs using elementary quantum gates, with more functions compared to the existing designs. The results show that the proposed designs are better than the existing counterparts in terms of cost-metrics and the number of functions generated. The proposed reversible ALUs can be used in the implementation of quantum computers. All the designs are with nanometric scales.

TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCESJan 1, 201710 citations

Reversible Arithmetic Logic Gate (ALG) for Quantum Computation

M. R. Arun, S Saravanan

At present, Boolean algebra based computations by the use of silicon based semiconductor technology are irreversible in nature.This is due to the mismatch of number of inputs and outputs.Reversible logic circuit maps unique input to the output and ensure one to one mapping and basis for emerging applications like low-power design, quantum computation, optical computing, bioinformatics and nanotechnologies.In computing paradigm, Arithmetic Logic Unit (ALU) is one of the computing intensive building blocks of the computer that performs arithmetic and logical operations.This work understands and nurtures the necessity of reversible ALU for future revolutionary computing technologies.In this paper, a 4x4 reversible gate which alone performs arithmetic and logic operations is proposed and compared with other reversible gates like TSG, HNG and MKG, in terms of quantum cost, I/O lines and Taffoli gates.The results of different synthesis methods of 4x4 ALG using Revkit tool are studied.Proposed gate performs better than existing methods and ensures maximum logical operations like full adder, full subtractor and all logical operations with less hardware cost where other existing gates are not viable.

International journal of intelligent engineering and systemsSep 30, 201317 citations

Reversible arithmetic logic unit

Rigui zhou, Yang shi, Manqun Zhang

Quantum computer requires quantum arithmetic. The sophisticated design of a reversible arithmetic logic unit (reversible ALU) for quantum arithmetic has been investigated in this letter. We provide explicit construction of reversible ALU effecting basic arithmetic operations. By provided the corresponding control unit, the proposed reversible ALU can combine the classical arithmetic and logic operation in a reversible integrated system. This letter provides actual evidence to prove the possibility of the realization of reversible Programmable Logic Device (RPLD) using reversible ALU.

arXiv:1107.3924Jul 20, 20110 citations