This book introduces the binary, octal and hexadecimal numbering systems used in computer science and computer programming. It introduces how numbers are represented in each of these systems, how to convert between them (and to and from base 10). In this book, among other things, you will learn: * What are number bases (also known as radixes) * What is binary (base 2) * How to convert binary numbers to denary (base 10) * How to convert denary numbers to binary * What is octal (base 8) * How to convert octal numbers to denary * How to convert denary numbers to octal * Why many programmers and computer scientists use octal * How to convert octal numbers to binary * How to convert binary numbers to octal * What is hexadecimal (base 16) * How to convert hexadecimal numbers to denary * How to convert denary numbers to hexadecimal * Why many programmers and computer scientists use hexadecimal * How to convert hexadecimal numbers to binary * How to convert binary numbers to hexadecimal * Is there a reason to prefer octal over hexadecimal or vice-versa?
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
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.
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.
This easy-to-follow and classroom-tested textbook guides the reader through the fundamentals of programming with Python, an accessible language which can be learned incrementally. Features: incudes numerous examples and practice exercises throughout the text, with additional exercises, solutions and review questions at the end of each chapter; highlights the patterns which frequently appear when writing programs, reinforcing the application of these patterns for problem-solving through practice exercises; introduces the use of a debugger tool to inspect a program, enabling students to discover for themselves how programs work and enhance their understanding; presents the Tkinter framework for building graphical user interface applications and event-driven programs; provides instructional videos and additional information for students, as well as support materials for instructors, at an associated website.
An Introduction to Digital Computing provides information pertinent to the fundamental aspects of digital computing. This book represents a major step towards the universal availability of programmed material. Organized into four chapters, this book begins with an overview of the fundamental workings of the computer, including the way it handles simple arithmetic problems. This text then provides a brief survey of the basic features of a typical computer that is divided into three sections, namely, the input and output system, the memory system for data storage, and a processing system. Other chapters focus on programming and on the workings of the computer control unit. This book discusses as well the various arithmetic codes such as binary, decimal, octal, duodecimal, and hexadecimal codes. The final chapter deals with some of the more detailed workings of the control unit. This book is a valuable resource for university students and computer specialists.
The availability of high-speed digital computers has led to the widespread study of computer programming and numerical analysis in Indian universities and technological institutes. This book presents the theory and applications of numerical methods for the solution of various types of computational problems in science and engineering.
The classic guide to how computers work, updated with new chapters and interactive graphics "For me, Code was a revelation. It was the first book about programming that spoke to me. It started with a story, and it built up, layer by layer, analogy by analogy, until I understood not just the Code, but the System. Code is a book that is as much about Systems Thinking and abstractions as it is about code and programming. Code teaches us how many unseen layers there are between the computer systems that we as users look at every day and the magical silicon rocks that we infused with lightning and taught to think." - Scott Hanselman, Partner Program Director, Microsoft, and host of Hanselminutes Computers are everywhere, most obviously in our laptops and smartphones, but also our cars, televisions, microwave ovens, alarm clocks, robot vacuum cleaners, and other smart appliances. Have you ever wondered what goes on inside these devices to make our lives easier but occasionally more infuriating? For more than 20 years, readers have delighted in Charles Petzold's illuminating story of the secret inner life of computers, and now he has revised it for this new age of computing. Cleverly illustrated and easy to understand, this is the book that cracks the mystery. You'll discover what flashlights, black cats, seesaws, and the ride of Paul Revere can teach you about computing, and how human ingenuity and our compulsion to communicate have shaped every electronic device we use. This new expanded edition explores more deeply the bit-by-bit and gate-by-gate construction of the heart of every smart device, the central processing unit that combines the simplest of basic operations to perform the most complex of feats. Petzold's companion website, CodeHiddenLanguage.com, uses animated graphics of key circuits in the book to make computers even easier to comprehend. In addition to substantially revised and updated content, new chapters include: Chapter 18: Let's Build a Clock! Chapter 21: The Arithmetic Logic Unit Chapter 22: Registers and Busses Chapter 23: CPU Control Signals Chapter 24: Jumps, Loops, and Calls Chapter 28: The World Brain From the simple ticking of clocks to the worldwide hum of the internet, Code reveals the essence of the digital revolution.
Computer Fundamentals and Programming in C is designed to serve as a textbook for the undergraduate students of engineering, computer science, computer applications, and information technology. The book seeks to provide a thorough overview of all the fundamental concepts related to computer science and programming. It lays down the foundation for all the advanced courses that a student is expected to learn in the following semesters.
The predominant language used in embedded microprocessors, assembly language lets you write programs that are typically faster and more compact than programs written in a high-level language and provide greater control over the program applications. Focusing on the languages used in X86 microprocessors, X86 Assembly Language and C Fundamentals expl
