INTERMEDIATE LOGIC – Glossary of Key Terms This Glossary Includes Terms That Are Defined in the Text in the Lesson and on the Page Noted
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Logisim Operon Circuits
International Journal of Scientific & Engineering Research, Volume 4, Issue 8, August-2013 1312 ISSN 2229-5518 Logisim Operon Circuits Aman Chandra Kaushik Aman Chandra Kaushik (M.Sc. Bioinformatics) Department of Bioinformatics, University Institute of Engineering & Technology Chhatrapati Shahu Ji Maharaj University, Kanpur-208024, Uttar Pradesh, India Email: [email protected] Phone: +91-8924003818 Abstract: Creation of Logism Operon circuits for bacterial cells that not only perform logic functions, but also remember the results, which are encoded in the cell’s DNA and passed on for dozens of generations. This circuits is coded in JAVA Language. “Almost all of the previous work in synthetic biology that we’re aware of has either focused on logic components and logical circuits or on memory modules that just encode memory. We think complex computation will involve combining both logic and memory, and that’s why we built this particular framework for designing circuits Life Science. In one circuit described in the paper, one DNA sequences have three genes called Repressor, Operator (terminators) are interposed between the promoter (DNA Polymerase) and the output Proteins (Beta glactosidase, permease, Transacetylase in this case). Each of these terminators inhibits the transcription and Translation of the output gene and can be flipped by a different Promoter enzyme (DNA Polymerase), making the terminator inactive. Key words: Logical IJSERGate, JAVA, Circuits, Operon, AND, OR, NOT, NOR, NAND, XOR, XNOR, Operon Logisim Circuits. IJSER © 2013 http://www.ijser.org International Journal of Scientific & Engineering Research, Volume 4, Issue 8, August-2013 1313 ISSN 2229-5518 1. Introduction The AND gate is obtained from the E6 core module by extending both ends with hairpin M olecular Logic Gates Coding in Java modules, one complementary to input Language and circuits are designed in oligonucleotide x and the other Logisim complementary to input oligonucleotide y. -
The Incorrect Usage of Propositional Logic in Game Theory
The Incorrect Usage of Propositional Logic in Game Theory: The Case of Disproving Oneself Holger I. MEINHARDT ∗ August 13, 2018 Recently, we had to realize that more and more game theoretical articles have been pub- lished in peer-reviewed journals with severe logical deficiencies. In particular, we observed that the indirect proof was not applied correctly. These authors confuse between statements of propositional logic. They apply an indirect proof while assuming a prerequisite in order to get a contradiction. For instance, to find out that “if A then B” is valid, they suppose that the assumptions “A and not B” are valid to derive a contradiction in order to deduce “if A then B”. Hence, they want to establish the equivalent proposition “A∧ not B implies A ∧ notA” to conclude that “if A then B”is valid. In fact, they prove that a truth implies a falsehood, which is a wrong statement. As a consequence, “if A then B” is invalid, disproving their own results. We present and discuss some selected cases from the literature with severe logical flaws, invalidating the articles. Keywords: Transferable Utility Game, Solution Concepts, Axiomatization, Propositional Logic, Material Implication, Circular Reasoning (circulus in probando), Indirect Proof, Proof by Contradiction, Proof by Contraposition, Cooperative Oligopoly Games 2010 Mathematics Subject Classifications: 03B05, 91A12, 91B24 JEL Classifications: C71 arXiv:1509.05883v1 [cs.GT] 19 Sep 2015 ∗Holger I. Meinhardt, Institute of Operations Research, Karlsruhe Institute of Technology (KIT), Englerstr. 11, Building: 11.40, D-76128 Karlsruhe. E-mail: [email protected] The Incorrect Usage of Propositional Logic in Game Theory 1 INTRODUCTION During the last decades, game theory has encountered a great success while becoming the major analysis tool for studying conflicts and cooperation among rational decision makers. -
46. on the Completeness O F the Leibnizian Modal System with a Restriction by Setsuo SAITO Shibaura Institute of Technology,Tokyo (Comm
198 [Vol. 42, 46. On the Completeness o f the Leibnizian Modal System with a Restriction By Setsuo SAITO Shibaura Institute of Technology,Tokyo (Comm. by Zyoiti SUETUNA,M.J.A., March 12, 1966) § 1. Introduction. The purpose of this paper is to show the completeness of a modal system which will be called Lo in the following. In my previous paper [1], in order to show an example of defence of _.circular definition, the following definition was given: A statement is analytic if and only if it is consistent with every statement that expresses what is possible. This definition, roughly speaking, is materially equivalent to Carnap's definition of L-truth which is suggested by Leibniz' conception that a necessary truth must hold in all possible worlds (cf. Carnap [2], p.10). If "analytic" is replaced by "necessary" in the above definition, this definition becomes as follows: A statement is necessary if and only if it is consistent with every statement that expresses what is possible. This reformed definition is symbolized by modal signs as follows: Opm(q)[Qq~O(p•q)1, where p and q are propositional variables. Let us replace it by the following axiom-schema and rule: Axiom-schema. D a [Q,9 Q(a •,S)], where a, ,9 are arbitrary formulas. Rule of inference. If H Q p Q(a •p), then i- a, where a is an arbitrary formula and p is a propositional variable not contained in a. We call L (the Leibnizian modal system) the system obtained from the usual propositional calculus by adding the above axiom schema and rule and the rule of replacement of material equivalents. -
Chapter 10: Symbolic Trails and Formal Proofs of Validity, Part 2
Essential Logic Ronald C. Pine CHAPTER 10: SYMBOLIC TRAILS AND FORMAL PROOFS OF VALIDITY, PART 2 Introduction In the previous chapter there were many frustrating signs that something was wrong with our formal proof method that relied on only nine elementary rules of validity. Very simple, intuitive valid arguments could not be shown to be valid. For instance, the following intuitively valid arguments cannot be shown to be valid using only the nine rules. Somalia and Iran are both foreign policy risks. Therefore, Iran is a foreign policy risk. S I / I Either Obama or McCain was President of the United States in 2009.1 McCain was not President in 2010. So, Obama was President of the United States in 2010. (O v C) ~(O C) ~C / O If the computer networking system works, then Johnson and Kaneshiro will both be connected to the home office. Therefore, if the networking system works, Johnson will be connected to the home office. N (J K) / N J Either the Start II treaty is ratified or this landmark treaty will not be worth the paper it is written on. Therefore, if the Start II treaty is not ratified, this landmark treaty will not be worth the paper it is written on. R v ~W / ~R ~W 1 This or statement is obviously exclusive, so note the translation. 427 If the light is on, then the light switch must be on. So, if the light switch in not on, then the light is not on. L S / ~S ~L Thus, the nine elementary rules of validity covered in the previous chapter must be only part of a complete system for constructing formal proofs of validity. -
LOGIC GATESLOGIC GATES Logic Gateslogic Gates
SCR 1013 : Digital Logic Module 3:Module 3:ModuleModule 3: 3: LOGIC GATESLOGIC GATES Logic GatesLogic Gates NOT Gate (Inverter) AND Gate OR Gate NAND Gate NOR Gate Exclusive-OR (XOR) Gate Exclusive-NOR (XNOR) Gate OutlineOutline • NOT Gate (Inverter) Basic building block • AND Gate • OR Gate Universal gate using • NAND Gate 2 of the basic gates • NOR Gate Universal gate using 2 of the basic gates • Exclusive‐OR (XOR) Gate • Exclusive‐NOR (XNOR) Gate NOT Gate (Inverter)NOT Gate (Inverter) • Characteriscs Performs inversion or complementaon • Changes a logic level to the opposite • 0(LOW) 1(HIGH) ; 1 0 • Symbol • Truth Table Input Output 1 0 0 1 NOT Gate (Inverter)NOT Gate (Inverter) • Operator – NOT Gate is represented by overbar • Logic expression AND GateAND Gate • Characteriscs – Performs ‘logical mul@plica@on’ • If all of the input are HIGH, then the output is HIGH. • If any of the input are LOW, then the output is LOW. – AND gate must at least have two (2) INPUTs, and must always have 1 (one) OUTPUT. The AND gate can have more than two INPUTs • Symbols OR GateOR Gate • Characteriscs – Performs ‘logical addion’. • If any of the input are HIGH, then the output is HIGH. • If all of the input are LOW, then the output is LOW. • Symbols NAND GateNAND Gate • NAND NOT‐AND combines the AND gate and an inverter • Used as a universal gate – Combina@ons of NAND gates can be used to perform AND, OR and inverter opera@ons – If all or any of the input are LOW, then the output is HIGH. -
Designing Combinational Logic Gates in Cmos
CHAPTER 6 DESIGNING COMBINATIONAL LOGIC GATES IN CMOS In-depth discussion of logic families in CMOS—static and dynamic, pass-transistor, nonra- tioed and ratioed logic n Optimizing a logic gate for area, speed, energy, or robustness n Low-power and high-performance circuit-design techniques 6.1 Introduction 6.3.2 Speed and Power Dissipation of Dynamic Logic 6.2 Static CMOS Design 6.3.3 Issues in Dynamic Design 6.2.1 Complementary CMOS 6.3.4 Cascading Dynamic Gates 6.5 Leakage in Low Voltage Systems 6.2.2 Ratioed Logic 6.4 Perspective: How to Choose a Logic Style 6.2.3 Pass-Transistor Logic 6.6 Summary 6.3 Dynamic CMOS Design 6.7 To Probe Further 6.3.1 Dynamic Logic: Basic Principles 6.8 Exercises and Design Problems 197 198 DESIGNING COMBINATIONAL LOGIC GATES IN CMOS Chapter 6 6.1Introduction The design considerations for a simple inverter circuit were presented in the previous chapter. In this chapter, the design of the inverter will be extended to address the synthesis of arbitrary digital gates such as NOR, NAND and XOR. The focus will be on combina- tional logic (or non-regenerative) circuits that have the property that at any point in time, the output of the circuit is related to its current input signals by some Boolean expression (assuming that the transients through the logic gates have settled). No intentional connec- tion between outputs and inputs is present. In another class of circuits, known as sequential or regenerative circuits —to be dis- cussed in a later chapter—, the output is not only a function of the current input data, but also of previous values of the input signals (Figure 6.1). -
Performance Analysis of Adiabatic Logic Gate Circuits Using 4T Dram Cells
PERFORMANCE ANALYSIS OF ADIABATIC LOGIC GATE CIRCUITS USING 4T DRAM CELLS by ANUPRIYA KRISHNAMOORTHY A THESIS Submitted in partial fulfillment of the requirements for the degree of Master of Science in Engineering in The Department of Electrical and Computer Engineering to The School of Graduate Studies of The University of Alabama in Huntsville HUNTSVILLE, ALABAMA 2016 iii iv ACKNOWLEDGEMENTS This thesis could not be completed without the assistance of several people who deserve special mention. First, I would like to thank Dr. Fat Duen Ho for his guidance throughout all the stages of the work. Second the members of my committee, Dr. David Wendi Pan and Dr. Jia Li, who have been helpful with comments and suggestions. I would like to thank my family especially my parents Krishnamoorthy Vanchinathan(Father), Umamaheswari Jagadeesan (Mother) and my elder sibling Abinaya Krishnamoorthy (Sister) and my friend Ashish Ramesh, for tolerating me through the whole process. v TABLE OF CONTENTS Page List of Figures ............................................................................................................................................ viii List of Symbols ............................................................................................................................................ xi 1. INTRODUCTION AND BACKGROUND 1.1 Overview ................................................................................................................................... 1 1.2 Tank Oscillator Operation ........................................................................................................ -
A New Design of XOR-XNOR Gates for Low Power Application
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by UTHM Institutional Repository 2011 International Conference on Electronic Devices, Systems & Applications (ICEDSA) A New Design of XOR-XNOR gates for low power application Nabihah Ahmad Rezaul Hasan Faculty of Electrical and Electronic, School of Engineering and Advanced Technology Universiti Tun Husseion Onn Malaysia Massey University Batu Pahat, Johor, Malaysia Auckland, New Zealand [email protected] [email protected] Abstract—XOR and XNOR gate plays an important role in network can be found in [4]. Each input is connected to both an digital systems including arithmetic and encryption circuits. This NMOS transistor and a PMOS transistor. It provide a full paper proposes a combination of XOR-XNOR gate using 6- output voltage swing but with a large number of transistors. transistors for low power applications. Comparison between a best existing XOR-XNOR have been done by simulating the Complementary pass transistor logic (CPL) is used in [1]. proposed and other design using 65nm CMOS technology in Wang et al. [2] report the XOR-XNOR circuits based on Cadence environment. The simulation results demonstrate the transmission gates. It uses eight transistors and complementary delay, power consumption and power-delay product (PDP) at inputs and has a drawback of loss of driving capability. Wang different supply voltages ranging from 0.6V to 1.2V. The results et al. also designed XOR-XNOR circuits based on inverter show that the proposed design has lower power dissipation and gates. It does not require a complementary inputs but it has no has a full voltage swing. -
Combinational Logic Circuits
CHAPTER 4 COMBINATIONAL LOGIC CIRCUITS ■ OUTLINE 4-1 Sum-of-Products Form 4-10 Troubleshooting Digital 4-2 Simplifying Logic Circuits Systems 4-3 Algebraic Simplification 4-11 Internal Digital IC Faults 4-4 Designing Combinational 4-12 External Faults Logic Circuits 4-13 Troubleshooting Prototyped 4-5 Karnaugh Map Method Circuits 4-6 Exclusive-OR and 4-14 Programmable Logic Devices Exclusive-NOR Circuits 4-15 Representing Data in HDL 4-7 Parity Generator and Checker 4-16 Truth Tables Using HDL 4-8 Enable/Disable Circuits 4-17 Decision Control Structures 4-9 Basic Characteristics of in HDL Digital ICs M04_WIDM0130_12_SE_C04.indd 136 1/8/16 8:38 PM ■ CHAPTER OUTCOMES Upon completion of this chapter, you will be able to: ■■ Convert a logic expression into a sum-of-products expression. ■■ Perform the necessary steps to reduce a sum-of-products expression to its simplest form. ■■ Use Boolean algebra and the Karnaugh map as tools to simplify and design logic circuits. ■■ Explain the operation of both exclusive-OR and exclusive-NOR circuits. ■■ Design simple logic circuits without the help of a truth table. ■■ Describe how to implement enable circuits. ■■ Cite the basic characteristics of TTL and CMOS digital ICs. ■■ Use the basic troubleshooting rules of digital systems. ■■ Deduce from observed results the faults of malfunctioning combina- tional logic circuits. ■■ Describe the fundamental idea of programmable logic devices (PLDs). ■■ Describe the steps involved in programming a PLD to perform a simple combinational logic function. ■■ Describe hierarchical design methods. ■■ Identify proper data types for single-bit, bit array, and numeric value variables. -
Logic Families
Logic Families PDF generated using the open source mwlib toolkit. See http://code.pediapress.com/ for more information. PDF generated at: Mon, 11 Aug 2014 22:42:35 UTC Contents Articles Logic family 1 Resistor–transistor logic 7 Diode–transistor logic 10 Emitter-coupled logic 11 Gunning transceiver logic 16 Transistor–transistor logic 16 PMOS logic 23 NMOS logic 24 CMOS 25 BiCMOS 33 Integrated injection logic 34 7400 series 35 List of 7400 series integrated circuits 41 4000 series 62 List of 4000 series integrated circuits 69 References Article Sources and Contributors 75 Image Sources, Licenses and Contributors 76 Article Licenses License 77 Logic family 1 Logic family In computer engineering, a logic family may refer to one of two related concepts. A logic family of monolithic digital integrated circuit devices is a group of electronic logic gates constructed using one of several different designs, usually with compatible logic levels and power supply characteristics within a family. Many logic families were produced as individual components, each containing one or a few related basic logical functions, which could be used as "building-blocks" to create systems or as so-called "glue" to interconnect more complex integrated circuits. A "logic family" may also refer to a set of techniques used to implement logic within VLSI integrated circuits such as central processors, memories, or other complex functions. Some such logic families use static techniques to minimize design complexity. Other such logic families, such as domino logic, use clocked dynamic techniques to minimize size, power consumption, and delay. Before the widespread use of integrated circuits, various solid-state and vacuum-tube logic systems were used but these were never as standardized and interoperable as the integrated-circuit devices. -
Digital Logic Fundamentals
Digital Logic Fundamentals Student Workbook 91573-00 Ê>{Y>èRÆ30Ë Edition 4 3091573000503 FOURTH EDITION Second Printing, March 2005 Copyright March, 2003 Lab-Volt Systems, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form by any means, electronic, mechanical, photocopied, recorded, or otherwise, without prior written permission from Lab-Volt Systems, Inc. Information in this document is subject to change without notice and does not represent a commitment on the part of Lab-Volt Systems, Inc. The Lab-Volt F.A.C.E.T.® software and other materials described in this document are furnished under a license agreement or a nondisclosure agreement. The software may be used or copied only in accordance with the terms of the agreement. ISBN 0-86657-210-4 Lab-Volt and F.A.C.E.T.® logos are trademarks of Lab-Volt Systems, Inc. All other trademarks are the property of their respective owners. Other trademarks and trade names may be used in this document to refer to either the entity claiming the marks and names or their products. Lab-Volt System, Inc. disclaims any proprietary interest in trademarks and trade names other than its own. Lab-Volt License Agreement By using the software in this package, you are agreeing to 6. Registration. Lab-Volt may from time to time update the become bound by the terms of this License Agreement, CD-ROM. Updates can be made available to you only if a Limited Warranty, and Disclaimer. properly signed registration card is filed with Lab-Volt or an authorized registration card recipient. -
An Introduction to Critical Thinking and Symbolic Logic: Volume 1 Formal Logic
An Introduction to Critical Thinking and Symbolic Logic: Volume 1 Formal Logic Rebeka Ferreira and Anthony Ferrucci 1 1An Introduction to Critical Thinking and Symbolic Logic: Volume 1 Formal Logic is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. 1 Preface This textbook has developed over the last few years of teaching introductory symbolic logic and critical thinking courses. It has been truly a pleasure to have beneted from such great students and colleagues over the years. As we have become increasingly frustrated with the costs of traditional logic textbooks (though many of them deserve high praise for their accuracy and depth), the move to open source has become more and more attractive. We're happy to provide it free of charge for educational use. With that being said, there are always improvements to be made here and we would be most grateful for constructive feedback and criticism. We have chosen to write this text in LaTex and have adopted certain conventions with symbols. Certainly many important aspects of critical thinking and logic have been omitted here, including historical developments and key logicians, and for that we apologize. Our goal was to create a textbook that could be provided to students free of charge and still contain some of the more important elements of critical thinking and introductory logic. To that end, an additional benet of providing this textbook as a Open Education Resource (OER) is that we will be able to provide newer updated versions of this text more frequently, and without any concern about increased charges each time.