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An Introduction To Binary Arithmetic
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Book Synopsis Understanding Binary Numbers by : Eric Sakk
Download or read book Understanding Binary Numbers written by Eric Sakk and published by . This book was released on 2018-05-25 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is directed toward readers seeking a concise introduction to binary numbers with an inclination toward understanding computer systems. The material presented can be used as a supplement for courses relevant to computer science and computer engineering anywhere from the high school level up to the college level. Several in-chapter and end-of-chapter exercises are included in order to ensure the interested reader is able to practice and fully internalize the topics presented. Depending upon the level of the reader and the rate at which the material is covered, the book topics can be mastered within a period of two to six weeks.
Book Synopsis Introduction to Binary Arithmetic by :
Download or read book Introduction to Binary Arithmetic written by and published by . This book was released on 1984 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Binary Numbers written by Clyde Watson and published by . This book was released on 1977-01-01 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the principle and uses of binary numbers.
Book Synopsis Advanced Binary for Programming & Computer Science by : Sunil Tanna
Download or read book Advanced Binary for Programming & Computer Science written by Sunil Tanna and published by Createspace Independent Publishing Platform. This book was released on 2018-08-29 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how the binary works and how it is used by computers to represent information including positive and negative integers, characters and real numbers. It explains the logical and bitwise operations used to manipulate information and perform arithmetic. We also briefly look at how computers store this information in memory and secondary storage, and how it can be transmitted between computers. Topics covered include: INTRODUCING NUMBER BASES AND BINARY CONVERTING FROM BINARY TO DENARY AND VICE-VERSA How to Convert a Binary Number to Denary How to Convert a Denary Number to Binary HOW COMPUTERS GROUP BINARY DIGITS A Closer Look at Bytes A Closer Look at Words * Word alignment, word alignment and packing, byte ordering and endianness Addresses BOOLEAN OPERATIONS AND LOGIC GATES Fundamentals of Boolean Algebra * NOT, AND, OR, XOR, NAND, NOR, NXOR Combining Logic Gates * NOT, AND, OR, XOR, NOR using NAND logic Logical Versus Bitwise Operations Using Bitwise Operations to Set, Clear, Flip or Test Bits * Setting bits, inverting bits, clearing bits, testing bits ADDING AND SUBTRACTING IN BINARY Adding Binary Integers * The column addition method of adding denary numbers and adding binary numbers, implementing binary addition using logic gates Subtracting Binary Integers * The column subtraction methods of subtracting denary numbers and subtracting binary numbers, implementing binary subtraction using logic gates SHIFT OPERATIONS Left Shift Right Shift Circular Shifts MULTIPLICATION AND DIVISION IN BINARY Multiplication * Multiplying by a power of 2, column multiplication, Russian peasant multiplication algorithm, multiplication in hardware Division * Dividing by a power of 2, denary long division, binary long division, algorithm for binary long division, division in hardware REPRESENTING CHARACTERS AND STRINGS OF CHARACTERS Representing Individual Characters * ASCII, extended ASCIIs, BCDIC and other early character encodings, EBCDIC, Unicode Representing Strings of Characters * Terminated strings, length-prefixed strings, other string representations REPRESENTING TEXT AND GRAPHICS ON SCREEN Text Mode Displays Bitmap Displays PARITY CHECKING What is a Parity Bit Even and Odd Parity Advantages, Disadvantages and Limitations of Using Parity Checking Parity's Use in RAID Storage Devices Unused Parity Bits SIGNED INTEGERS Offset Binary Signed Magnitude Representation One's Complement Two's Complement Other Representations of Signed Numbers * Base -2, signed-digit representation REAL NUMBERS Fixed Point Representation Floating Point Representation Rational Data Type Logarithmic Number Systems DENARY ENCODINGS AND DECIMAL DATA TYPES Why Use Denary Representations of Real Numbers? Binary Encodings of Denary * Serial decimal, two-out-of-five, bi-quinary, character-based encodings of denary, binary-Coded Decimal (BCD), Chen-Ho Encoding, Densely Packed Decimal (DPD) and excess-3 Decimal Data Types * Which numbers can be exactly represented in fixed and floating point? * How inexact? * Issues with inexact representation * Decimal representation DATA STRUCTURES Structs Arrays Linked Lists and More Complex Structures * Limitations of arrays, introducing linked lists, singly and doubly linked lists, more complex data structures TYPES OF COMPUTER MEMORY Magnetic-Core Memory and Core Rope Memory RAM * DRAM and SRAM ROM * Mask-programmed ROM, PROM, EPROM, EEPROM, Flash memory SECONDARY STORAGE Sequential Storage * Punched tape, magnetic tape Random Access Storage * Magnetic disk, optical disk, solid state drives, flash memory and cloud Storage MEASURING MEMORY AND STORAGE DIGITAL COMMUNICATIONS Serial Communication Parallel Communication MEASURING TRANSFER RATES Baud
Book Synopsis Higher Arithmetic by : Harold M. Edwards
Download or read book Higher Arithmetic written by Harold M. Edwards and published by American Mathematical Soc.. This book was released on 2008 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.
Book Synopsis Complex Binary Number System by : Tariq Jamil
Download or read book Complex Binary Number System written by Tariq Jamil and published by Springer Science & Business Media. This book was released on 2012-10-04 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of the entire research work on the topic of Complex Binary Number System (CBNS) carried out by the author as the principal investigator and members of his research groups at various universities during the years 2000-2012. Pursuant to these efforts spanning several years, the realization of CBNS as a viable alternative to represent complex numbers in an “all-in-one” binary number format has become possible and efforts are underway to build computer hardware based on this unique number system. It is hoped that this work will be of interest to anyone involved in computer arithmetic and digital logic design and kindle renewed enthusiasm among the engineers working in the areas of digital signal and image processing for developing newer and efficient algorithms and techniques incorporating CBNS.
Book Synopsis Numerical Computing with IEEE Floating Point Arithmetic by : Michael L. Overton
Download or read book Numerical Computing with IEEE Floating Point Arithmetic written by Michael L. Overton and published by SIAM. This book was released on 2001-01-01 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Book Synopsis Introduction to Computer Organization by : Robert G. Plantz
Download or read book Introduction to Computer Organization written by Robert G. Plantz and published by No Starch Press. This book was released on 2022-01-25 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This hands-on tutorial is a broad examination of how a modern computer works. Classroom tested for over a decade, it gives readers a firm understanding of how computers do what they do, covering essentials like data storage, logic gates and transistors, data types, the CPU, assembly, and machine code. Introduction to Computer Organization gives programmers a practical understanding of what happens in a computer when you execute your code. You may never have to write x86-64 assembly language or design hardware yourself, but knowing how the hardware and software works will give you greater control and confidence over your coding decisions. We start with high level fundamental concepts like memory organization, binary logic, and data types and then explore how they are implemented at the assembly language level. The goal isn’t to make you an assembly programmer, but to help you comprehend what happens behind the scenes between running your program and seeing “Hello World” displayed on the screen. Classroom-tested for over a decade, this book will demystify topics like: How to translate a high-level language code into assembly language How the operating system manages hardware resources with exceptions and interrupts How data is encoded in memory How hardware switches handle decimal data How program code gets transformed into machine code the computer understands How pieces of hardware like the CPU, input/output, and memory interact to make the entire system work Author Robert Plantz takes a practical approach to the material, providing examples and exercises on every page, without sacrificing technical details. Learning how to think like a computer will help you write better programs, in any language, even if you never look at another line of assembly code again.
Book Synopsis What Are Binary and Hexadecimal Numbers? by : Patricia Harris, Ph.D.
Download or read book What Are Binary and Hexadecimal Numbers? written by Patricia Harris, Ph.D. and published by The Rosen Publishing Group, Inc. This book was released on 2017-07-15 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary students around the globe are taught to count using a base-10 number system. We form numbers using the 10 digits of our base-10 system�zero through nine. Inside this book, readers discover other number systems people have used throughout history. With a binary system, computers only use two digits�0 and 1. So how does a computer count to 10? Readers will learn the answer inside this book. Also included is a review of hexadecimal numbers, which serve as the old basis of assembly languages and can still be found today setting colors on the web. This volume meets math standards addressing number systems other than base 10.
Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman
Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
Book Synopsis A Survey of Binary Systems by : Richard Hubert Bruck
Download or read book A Survey of Binary Systems written by Richard Hubert Bruck and published by Springer. This book was released on 2013-12-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rounding Errors in Algebraic Processes by : James Hardy Wilkinson
Download or read book Rounding Errors in Algebraic Processes written by James Hardy Wilkinson and published by Courier Corporation. This book was released on 1994-01-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary introduction to problem of cumulative effect of rounding errors in a very large number of arithmetical calculations—particularly applicable to computer operations. Simple representative analyses illustrate techniques. Topics include fundamental arithmetic operations, computations involving polynomials and matrix computations. Results deal exclusively with digital computers but are equally applicable to desk calculators. Bibliography.
Book Synopsis Computer Organisation and Architecture by : B.S. Chalk
Download or read book Computer Organisation and Architecture written by B.S. Chalk and published by Bloomsbury Publishing. This book was released on 2017-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes how a computer works and explains how the various hardware components are organized and interconnected to provide a platform upon which programs can be executed. It takes a simple, step-by-step approach suitable for first year undergraduates coming to the subject for the first time. The second edition of this book has been thoroughly updated to cover new developments in the field and includes new diagrams and end-of-chapter exercises. It will also be accompanied by a lecturer and student web site which will contain solutions to exercises, further exercises, PowerPoint slides and all the source code used in the book.
Book Synopsis Computer Fundamentals by : Pradeep K. Sinha
Download or read book Computer Fundamentals written by Pradeep K. Sinha and published by . This book was released on 2004-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Computer Arithmetic by : Richard P. Brent
Download or read book Modern Computer Arithmetic written by Richard P. Brent and published by Cambridge University Press. This book was released on 2010-11-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.
Book Synopsis Cryptography Arithmetic by : Amos R. Omondi
Download or read book Cryptography Arithmetic written by Amos R. Omondi and published by Springer Nature. This book was released on 2020-01-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern cryptosystems, used in numerous applications that require secrecy or privacy - electronic mail, financial transactions, medical-record keeping, government affairs, social media etc. - are based on sophisticated mathematics and algorithms that in implementation involve much computer arithmetic. And for speed it is necessary that the arithmetic be realized at the hardware (chip) level. This book is an introduction to the implementation of cryptosystems at that level. The aforementioned arithmetic is mostly the arithmetic of finite fields, and the book is essentially one on the arithmetic of prime fields and binary fields in the context of cryptography. The book has three main parts. The first part is on generic algorithms and hardware architectures for the basic arithmetic operations: addition, subtraction, multiplication, and division. The second part is on the arithmetic of prime fields. And the third part is on the arithmetic of binary fields. The mathematical fundamentals necessary for the latter two parts are included, as are descriptions of various types of cryptosystems, to provide appropriate context. This book is intended for advanced-level students in Computer Science, Computer Engineering, and Electrical and Electronic Engineering. Practitioners too will find it useful, as will those with a general interest in "hard" applications of mathematics.
Book Synopsis Binary Quadratic Forms by : Johannes Buchmann
Download or read book Binary Quadratic Forms written by Johannes Buchmann and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.
