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Dissertations / Theses on the topic 'Molecular quantum-dot cellular automata'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

WANG, RUIYU. "ANALYSIS AND MODULATION OF MOLECULAR QUANTUM-DOT CELLULAR AUTOMATA (QCA) DEVICES." Doctoral thesis, Politecnico di Torino, 2017. http://hdl.handle.net/11583/2677716.

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Field-Coupled nanocomputing (FCN) paradigms offer fundamentally new approaches for digital computing without involving current transistors. Such paradigms perform computations using local field interactions between nanoscale building blocks which are organized with purposes. Among several FCN paradigms currently under active investigation, the Molecular Quantum-dot Cellular Automata (MQCA) is found to be the most promising and its unique features make it attractive as a candidate for post-CMOS nanocomputing. MQCA is based on electrostatic interactions among quantum cells with nanometer scale e

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2

PULIMENO, AZZURRA. "Molecular Quantum-dot Cellular Automata (QCA): Characterization of the bis-ferrocene molecule as a QCA device." Doctoral thesis, Politecnico di Torino, 2013. http://hdl.handle.net/11583/2507365.

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Quantum-dot cellular automata is an emerging technology for digital computation that follows the More than Moore trends and aims to the simultaneous reduction of both device size and power consumption. In particular, the basic QCA device is a cell made of dots and in which a bunch of free charges are allowed to move without leaving the cell itself. Depending on which dots the free charges occupy inside the cell (called also charge localization inside the cell) the binary information could be encoded and the interaction between nearby cells is performed by the electrostatic interaction. This me

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3

Karim, Faizal. "Clocking electrode design and phase analysis for molecular quantum-dot cellular automata based circuits." Thesis, University of British Columbia, 2007. http://hdl.handle.net/2429/31504.

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Molecular quantum-dot cellular automaton (QCA) offers an alternative paradigm for computing at the nano-scale. Such Q C A circuits require an external clock, which can be generated using a network of submerged electrodes, to synchronize information flow, and provide the required power to drive the computation. In this thesis, the effect of electrode separation and applied potential on the likelihood of different Q C A cell states of molecular cells located above and in between two adjacent electrodes is analysed. Using this analysis, estimates of operational ranges are developed for the

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Davies, Hazel M. "Synthesis and characterisation of molecular materials." Thesis, University of Bath, 2008. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501495.

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Chapter 1 contains a brief background into subjects such as Robin-Day classes, binary code, logic gates and electrochemistry in order to aid understanding of the rest of the chapter. The unique paradigm of Molecular Quantum Cellular Automata (MQCA) is presented along with the advantages it offers to traditional silicon based electronics. A summary of the existing modelled and synthesised MQCA systems is included along with an explanation of the characteristics required for materials to be suitable for MQCA. The subject of chapter 2 is cyclopentadiene cobalt cyclobutadiene complexes for the app

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5

Santana, Bonilla Alejandro, Rafael Gutierrez, Sandonas Leonardo Medrano, Daijiro Nozaki, Alessandro Paolo Bramanti, and Gianaurelio Cuniberti. "Structural distortions in molecular-based quantum cellular automata: a minimal model based study." Royal Society of Chemistry, 2014. https://tud.qucosa.de/id/qucosa%3A36371.

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Molecular-based quantum cellular automata (m-QCA), as an extension of quantum-dot QCAs, offer a novel alternative in which binary information can be encoded in the molecular charge configuration of a cell and propagated via nearest-neighbor Coulombic cell–cell interactions. Appropriate functionality of m-QCAs involves a complex relationship between quantum mechanical effects, such as electron transfer processes within the molecular building blocks, and electrostatic interactions between cells. The influence of structural distortions of single m-QCA are addressed in this paper within a minimal

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6

Santana-Bonilla, Alejandro. "Density functional theory and model-based studies of charge transfer and molecular self-organization on surfaces:." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-222478.

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Molecular-based quantum cellular automata (m-QCA), as an extension of quantum-dot QCAs, offer a novel alternative in which binary information can be encoded in the molecular charge configuration of a cell and propagated via nearest-neighbor Coulombic cell-cell interactions. Appropriate functionality of m-QCAs involves a complex relationship between quantum mechanical effects, such as electron transfer processes within the molecular building blocks, and electrostatic interactions between cells. In the first part of this document, the influence of structural distortions in single m-QCA is addre

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7

Srivastava, Saket. "Probabilistic modeling of quantum-dot cellular automata." [Tampa, Fla.] : University of South Florida, 2007. http://purl.fcla.edu/usf/dc/et/SFE0002399.

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8

Santana-Bonilla, Alejandro [Verfasser], Gianaurelio [Akademischer Betreuer] Cuniberti, and Wendin [Gutachter] Goeran. "Density functional theory and model-based studies of charge transfer and molecular self-organization on surfaces: : implications for molecular-based Quantum Cellular Automata / Alejandro Santana-Bonilla ; Gutachter: Wendin Goeran ; Betreuer: Gianaurelio Cuniberti." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://d-nb.info/1129105172/34.

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9

Mandell, Eric S. "Theoretical studies of inter-dot potential barrier modulation in quantum-dot cellular automata." Virtual Press, 2001. http://liblink.bsu.edu/uhtbin/catkey/1221305.

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Quantum-Dot Cellular Automata (QCA) is being investigated as a possible alternative for encoding and processing binary information in an attempt to realize dramatic improvements in device density and processing speed over conventional CMOS design. The binary information is encoded in the locations of two excess electrons in a system of four quantum dots. The dots are arranged with each on a corner of a square, and electrons are able to quantum-mechanically tunnel between dots. Each set of four dots and two excess electrons constitutes a QCA cell. Coulomb repulsion ensures that the electrons wi

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10

Hendrichsen, Melissa K. "Thermal effect and fault tolerance in quantum dot cellular automata." Virtual Press, 2005. http://liblink.bsu.edu/uhtbin/catkey/1314329.

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To have a useful QCA device it is first necessary to study how to control data flow in a device, then study how temperature and manufacturing defects will affect the proper output of the device. Theoretically a "quantum wire" of perfectly aligned QCA cells at zero Kelvin temperature has been examined. However, QCA processors will not be operating at a temperature of zero Kelvin and inherently the manufacturing process will introduce defects into the system. Many different types of defects could occur at the device level and the individual cell level, both kinds of defects should be examined. D

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11

Kanuchok, Jonathan L. "The thermal effect and clocking in quantum-dot cellular automata." Virtual Press, 2004. http://liblink.bsu.edu/uhtbin/catkey/1286605.

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We present a theoretical study of quasi-adiabatic clocking and thermal effect in Quantum-dot Cellular Automata (QCA). Quasi-adiabatic clocking is the modulation of an inter-dot potential barrier in order to keep the QCA cells near the ground state throughout the switching process. A time-dependent electric field is calculated for arrays of charged rods. The electron tunneling between dots is controlled by raising and lowering a potential barrier in the cell.A quantum statistical model has been introduced to obtain the thermal average of polarization of a QCA cell. We have studied the thermal e

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12

Tung, Chia-Ching. "Implementation of multi-CLB designs using quantum-dot cellular automata /." Online version of thesis, 2010. http://hdl.handle.net/1850/11699.

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13

Barclay, Travis J. "The temperature effect and defect study in quantum-dot cellular automata." Virtual Press, 2005. http://liblink.bsu.edu/uhtbin/catkey/1319217.

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Quantum-dot Cellular Automata (QCA) is a new paradigm for computation that utilizes polarization states instead of using current switching. It is being studied because of the realization of the quickly approaching limitation of the current CMOS technology. The location of two excess electrons located within four or five quantum dots on a particular cell can transmit the binary information. These dots are located in the corner of a square cell, and if there is a fifth dot it is located in the center. The electrons are allowed to tunnel freely among the dots, but are restricted from tunneling be

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14

Patalay, Dinkar. "64-bit high efficiency binary comparator in quantum-dot cellular automata." Thesis, California State University, Long Beach, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10111200.

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<p> Quantum-dot Cellular Automata (QCA) are proposed models of quantum computation, which are articulated in analogy to Von Neumann's conventional models of cellular automata. These models are worthy for the architecture of ultra-dense low-power and high-performance digital circuits. Efficient solutions have recently been proposed for several arithmetic circuits, such as adders, multipliers, and comparators. Since the design of digital circuits in QCA still poses several challenges, novel implementation strategies and methodologies are highly desirable. This project demonstrates a new design

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15

Singhal, Rahul. "Logic Realization Using Regular Structures in Quantum-Dot Cellular Automata (QCA)." PDXScholar, 2011. https://pdxscholar.library.pdx.edu/open_access_etds/196.

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Semiconductor industry seems to approach a wall where physical geometry and power density issues could possibly render the device fabrication infeasible. Quantum-dot Cellular Automata (QCA) is a new nanotechnology that claims to offer the potential of manufacturing even denser integrated circuits, which can operate at high frequencies and low power consumption. In QCA technology, the signal propagation occurs as a result of electrostatic interaction among the electrons as opposed to flow to the electrons in a wire. The basic building block of QCA technology is a QCA cell which encodes binary i

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16

Venkataramani, Praveen. "Sequential quantum dot cellular automata design and analysis using Dynamic Bayesian Networks." [Tampa, Fla] : University of South Florida, 2008. http://purl.fcla.edu/usf/dc/et/SFE0002787.

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17

Karim, Faizal. "Investigation of the correlated dynamics of quantum-dot cellular automata circuits and systems." Thesis, University of British Columbia, 2014. http://hdl.handle.net/2429/49968.

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Quantum-dot Cellular Automata (QCA) provides a basis for classical computation without transistors. Many simulations of QCA rely upon the Intercellular Hartree Approximation (ICHA), which neglects the possibility of entanglement between cells. While simple and computationally efficient, the ICHA’s many shortcomings make it difficult to accurately model the dynamics of large systems of QCA cells. On the other hand, solving a full Hamiltonian for each circuit, while more accurate, becomes computationally intractable as the number of cells increases. This work explores an intermediate solution th

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18

Padgett, Benjamin David. "Modeling and simulation of fault tolerant properties of quantum-dot cellular automata devices." CardinalScholar 1.0, 2010. http://liblink.bsu.edu/uhtbin/catkey/1569024.

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I present a theoretical study of fault tolerant properties in Quantum-dot Cellular Automata (QCA) devices. The study consists of modeling and simulation of various possible manufacturing, fabrication and operational defects. My focus is to explore the effects of temperature and dot displacement defects at the cell level of various QCA devices. Results of simple devices such as binary wire, logical gates, inverter, cross-over and XOR will be presented. A Hubbard-type Hamiltonian and the inter-cellular Hartree approximation have been used for modeling the QCA devices. Random distribution has bee

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19

Kapkar, Rohan Viren. "Modeling and Simulation of Altera Logic Array Block using Quantum-Dot Cellular Automata." University of Toledo / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1304616947.

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20

Raviraj, Tejas. "Design, Implementation, and Test of Next Generation FPGAs Using Quantum-Dot Cellular Automata Technology." University of Toledo / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1302291185.

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21

Anduwan, Gabriel A. Y. "The thermal effect and fault tolerance on nanoscale devices : the quantum dot cellular automata (QCA)." Virtual Press, 2007. http://liblink.bsu.edu/uhtbin/catkey/1369913.

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The defects and fault tolerance study is essential in the QCA devices in order to know its characteristics. Knowing the characteristics, one can understand the flow of information in a QCA system with and without manufacturing and operational defects. The manufacturing defects could be at device level or cell level. At the device level, the cell could be rotated, displaced vertically or horizontally, the cell could be missing or the size of the cell could be different. At the cell level, there could be a missing dot, dot could be displaced from its position or the size of the dots could be dif

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22

Balijepalli, Heman. "Design, Implementation, and Test of Novel Quantum-dot Cellular Automata FPGAs for the beyond CMOS Era." University of Toledo / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1333730938.

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23

Labrado, Carson. "Exploration of Majority Logic Based Designs for Arithmetic Circuits." UKnowledge, 2017. http://uknowledge.uky.edu/ece_etds/102.

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Since its inception, Moore's Law has been a reliable predictor of computational power. This steady increase in computational power has been due to the ability to fit increasing numbers of transistors in a single chip. A consequence of increasing the number of transistors is also increasing the power consumption. The physical properties of CMOS technologies will make this powerwall unavoidable and will result in severe restrictions to future progress and applications. A potential solution to the problem of rising power demands is to investigate alternative low power nanotechnologies for impleme

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24

CAUSAPRUNO, GIOVANNI. "Architectural Solutions for NanoMagnet Logic." Doctoral thesis, Politecnico di Torino, 2016. http://hdl.handle.net/11583/2643285.

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The successful era of CMOS technology is coming to an end. The limit on minimum fabrication dimensions of transistors and the increasing leakage power hinder the technological scaling that has characterized the last decades. In several different ways, this problem has been addressed changing the architectures implemented in CMOS, adopting parallel processors and thus increasing the throughput at the same operating frequency. However, architectural alternatives cannot be the definitive answer to a continuous increase in performance dictated by Moore’s law. This problem must be addressed from a

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25

Thapliyal, Himanshu. "Design, Synthesis and Test of Reversible Circuits for Emerging Nanotechnologies." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3379.

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Reversible circuits are similar to conventional logic circuits except that they are built from reversible gates. In reversible gates, there is a unique, one-to-one mapping between the inputs and outputs, not the case with conventional logic. Also, reversible gates require constant ancilla inputs for reconfiguration of gate functions and garbage outputs that help in keeping reversibility. Reversible circuits hold promise in futuristic computing technologies like quantum computing, quantum dot cellular automata, DNA computing, optical computing, etc. Thus, it is important to minimize parameters

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26

Isaksen, Beth Claire. "Molecular quantum-dot cellular automata." 2003. http://etd.nd.edu/ETD-db/theses/available/etd-07012003-121454/.

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27

Yan, Minjun. "Electric field detection by electrostatic force microscopy for clocking quantum-dot cellular automata molecules." 2006. http://etd.nd.edu/ETD-db/theses/available/etd-07312006-140503/.

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Thesis (Ph. D.)--University of Notre Dame, 2006.<br>Thesis directed by Gary H. Bernstein for the Department of Electrical Engineering. "July 2006." Includes bibliographical references (leaves 120-136).

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28

Jin, Zengxiao. "Fabrication and measurement of molecular quantum cellular automata (QCA) device." 2006. http://etd.nd.edu/ETD-db/theses/available/etd-06292006-143025/.

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Thesis (M.S.E.E.)--University of Notre Dame, 2006.<br>Thesis directed by Gregory L. Snider for the Department of Electrical Engineering. "June 2006." Includes bibliographical references (leaves 64-65).

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Jiao, Jieying. "Synthesis, characterization and surface attachment of square mixed-valence complexes as building blocks for molecular quantum cellular automata." 2004. http://etd.nd.edu.lib-proxy.nd.edu/ETD-db/theses/available/etd-07062004-104143/.

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Thesis (Ph. D.)--University of Notre Dame, 2004.<br>Thesis directed by Thomas P. Fehlner for the Department of Chemistry and Biochemistry. "July 2004." Includes bibliographical references (leaves 199-213).

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30

Santana-Bonilla, Alejandro. "Density functional theory and model-based studies of charge transfer and molecular self-organization on surfaces:: implications for molecular-based Quantum Cellular Automata." Doctoral thesis, 2016. https://tud.qucosa.de/id/qucosa%3A30246.

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Molecular-based quantum cellular automata (m-QCA), as an extension of quantum-dot QCAs, offer a novel alternative in which binary information can be encoded in the molecular charge configuration of a cell and propagated via nearest-neighbor Coulombic cell-cell interactions. Appropriate functionality of m-QCAs involves a complex relationship between quantum mechanical effects, such as electron transfer processes within the molecular building blocks, and electrostatic interactions between cells. In the first part of this document, the influence of structural distortions in single m-QCA is addre

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31

Frost, Sarah Elizabeth. "Memory architecture for quantum-dot cellular automata." 2005. http://etd.nd.edu/ETD-db/theses/available/etd-03212005-160059/.

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Thesis (M.S.C.S.E.)--University of Notre Dame, 2005.<br>Thesis directed by Peter Kogge for the Department of Computer Science and Engineering. "March 2005." Includes bibliographical references (leaves 129-133).

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32

Kummamuru, Ravi Kiran. "Experimental studies on quantum-dot cellular automata devices." 2004. http://etd.nd.edu/ETD-db/theses/available/etd-04162004-163831/.

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Thesis (Ph. D.)--University of Notre Dame, 2004.<br>Thesis directed by Gregory L. Snider for the Department of Electrical Engineering. "April 2004." Includes bibliographical references (leaves 135-139).

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33

Liu, Mo. "Robustness and power dissipation in quantum-dot cellular automata." 2006. http://etd.nd.edu/ETD-db/theses/available/etd-02212006-120033/.

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34

Patitz, Zachary Daniel. "Fault tolerant quantum-dot cellular automata majority gate design." 2006. http://digital.library.okstate.edu/etd/umi-okstate-1816.pdf.

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35

Dysart, Timothy J. "Defect properties and design tools for quantum dot cellular automata." 2005. http://etd.nd.edu/ETD-db/theses/available/etd-07212005-155243/.

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Thesis (M.S.C.S.E.)--University of Notre Dame, 2005.<br>Thesis directed by Peter M. Kogge for the Department of Computer Science and Engineering. "July 2005." Includes bibliographical references (leaves 117-122).

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賴建丞. "Minimum-Crossing Layout Synthesis for Quantum-Dot Cellular Automata (QCA)." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/43253686911218981810.

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碩士<br>國立交通大學<br>資訊科學系所<br>94<br>Quantum-dot cellular automata (QCA) is a novel nano-scale computing mechanism that can represent binary information based on spatial distribution of electron charge configuration in molecules. A QCA physical synthesis flow consists of four stages: partitioning, placement, pin-assignment and channel routing. Because wire crossings in QCA layout increase the complexity of circuit layout design, this work focus on minimizing wire crossings of the circuit under synthesis. In this paper, the problem of QCA placement is mapped to a famous problem “k-layer bigraph cro

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37

Tang, Yong. "Experimental demonstration of radio frequency quantum-dot cellular automata devices." 2009. http://etd.nd.edu/ETD-db/theses/available/etd-12102009-172906/.

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Thesis (Ph. D.)--University of Notre Dame, 2009.<br>Thesis directed by Patrick J. Fay and Alexei O. Orlov for the Department of Electrical Engineering. "December 2009." Includes bibliographical references (leaves 169-177).

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Cho, Heumpil. "Adder and multiplier design and analysis in quantum-dot cellular automata." Thesis, 2006. http://hdl.handle.net/2152/2848.

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39

Kim, Seong-Wan. "Design of parallel multipliers and dividers in quantum-dot cellular automata." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-05-2730.

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Conventional CMOS (the current dominant technology for VLSI) implemented with ever smaller transistors is expected to encounter serious problems in the near future with the need for difficult fabrication technologies. The most important problem is heat generation. The desire for device density, power dissipation and performance improvement necessitates new technologies that will provide innovative solutions to integration and computations. Nanotechnology, especially Quantum-dot Cellular Automata (QCA) provides new possibilities for computing owing to its unique properties. Numerous nanoelectro

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40

Choi, Myungsu. "A study on a quantum-dot cellular automata based asynchronous circuit design." 2005. http://digital.library.okstate.edu/etd/umi-okstate-1625.pdf.

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41

Imre, Alexandra. "Experimental study of nanomagnets for magnetic quantum-dot cellular automata (MQCA) logic applications." 2005. http://etd.nd.edu/ETD-db/theses/available/etd-03252005-050421/.

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Thesis (Ph. D.)--University of Notre Dame, 2005.<br>Thesis directed by Wolfgang Porod and Gary H. Bernstein for the Department of Electrical Engineering. "April 2005." Includes bibliographical references (leaves 93-97).

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Beck, Adam Christopher. "STM investigation of phthalocyanines as possible building blocks for quantum-dot cellular automata." 2005. http://etd.nd.edu/ETD-db/theses/available/etd-10312005-193422/.

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Thesis (M.S.)--University of Notre Dame, 2005.<br>Thesis directed by S. Alex Kandel for the Department of Chemistry and Biochemistry. "November 2005." Includes bibliographical references (leaves 52-56).

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Beard, Mary Jean. "Design and simulation of fault-tolerant Quantum-dot Cellular Automata (QCA) NOT gates." Thesis, 2006. http://hdl.handle.net/10057/561.

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This paper details the design and simulation of a fault-tolerant Quantum-dot Cellular Automata (QCA) NOT gate. A version of the standard NOT gate can be constructed to take advantage to the ability to easily integrate redundant structures into a QCA design. The fault-tolerant characteristics of this inverter are analyzed with QCADesigner v2.0.3 (Windows version) simulation software. These characteristics are then compared with the characteristics of two other non-redundant styles of NOT gates. The redundant version of the gate is more robust than the standard style for the inverter. However, a

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Chilakam, Madhusudan. "A Novel Reconfiguration Scheme in Quantum-Dot Cellular Automata for Energy Efficient Nanocomputing." 2013. https://scholarworks.umass.edu/theses/1028.

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Quantum-Dot Cellular Automata (QCA) is currently being investigated as an alternative to CMOS technology. There has been extensive study on a wide range of circuits from simple logical circuits such as adders to complex circuits such as 4-bit processors. At the same time, little if any work has been done in considering the possibility of reconfiguration to reduce power in QCA devices. This work presents one of the first such efforts when considering reconfigurable QCA architectures which are expected to be both robust and power efficient. We present a new reconfiguration scheme which is highly

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45

Liu, Mao-Hung, and 劉茂宏. "Simulation and Analysis of Two-Phase Clock Systems Based on Quantum-Dot Cellular Automata Architectures." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/99811596778301077516.

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碩士<br>中國文化大學<br>材料科學與製造研究所<br>93<br>The quantum-dot cellular automata (QCA) technology is based on the interaction of bi-stable QCA cells constructed from four quantum dots. The cell is charged with two free electrons, which are able to tunnel between adjacent dots. These electrons tend to occupy antipodal sites as a result of their mutual electrostatic repulsion. The QCA paradigm is a revolutionary approach to molecular-scale computing which represents binary information using the charge configuration of nanostructures in lieu of current switching devices. Electrostatic interaction between ne

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46

Varga, Edit. "Experimental study of new magnetic circuit elements built from nanomagnets for magnetic quantum-dot cellular automata logic applications." 2009. http://etd.nd.edu/ETD-db/theses/available/etd-12102009-133342/.

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47

Sultana, Sayeeda. "A design for testability scheme for modular and non-modular quantum dot cellular automata (QCA) employing stuck-at fault model." Thesis, 2006. http://spectrum.library.concordia.ca/9091/1/MR20755.pdf.

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Today leading VLSI experts predict a hard wall for CMOS and other conventional fabrication technology due to fundamental physical limits (ultra-thin gate oxide, short channel effects, doping fluctuations, etc.), and increasingly difficult and expensive lithography in nanoscale. Extensive research conducted in recent years at nanoscale aiming to surpass CMOS has proposed Quantum Dot Cellular Automata as a viable alternative for nanoscale computing. Quantum Dot Cellular Automata (QCA) paradigm is an innovatory approach to computing, which encodes binary information by means of charge configurat

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48

Kong, Inwook. "Improved algorithms and hardware designs for division by convergence." 2009. http://hdl.handle.net/2152/7844.

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This dissertation focuses on improving the division-by-convergence algorithm. While the division by convergence algorithm has many advantages, it has some drawbacks, such as a need for extra bits in the multiplier and a large ROM table for the initial approximation. To mitigate these problems, two new methods are proposed here. In addition, the research scope is extended to seek an efficient architecture for implementing a divider with Quantum-dot Cellular Automata (QCA), an emerging technology. For the first proposed approach, a new rounding method to reduce the required precision of the mult

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Jun, Kihwan. "Modified non-restoring division algorithm with improved delay profile." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-05-3300.

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This thesis focuses on reducing the delay of non-restoring division. Although the digit recurrence division is lower in complexity and occupies a smaller area than division by convergence, it has a drawback: slow division speed. To mitigate this problem, two modification ideas are proposed here for the non-restoring division, the fastest division algorithm of the digit recurrence division methods. For the first proposed approach, the delay of the multiplexer for selecting the quotient digit and determining the way to calculate the partial remainder can be reduced through inverting the order o

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