Understanding Binary Numbers


Book Description

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.




Binary Numbers


Book Description

Introduces the principle and uses of binary numbers.




What Are Binary and Hexadecimal Numbers?


Book Description

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.




Complex Binary Number System


Book Description

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.




Fundamentals of Digital Electronics


Book Description

This book presents the fundamentals of digital electronics in a focused and comprehensivemanner with many illustrations for understanding of the subject with high clarity. DigitalSignal Processing (DSP) application information is provided for many topics of the subjectto appreciate the practical significance of learning. To summarize, this book lays afoundation for students to become DSP engineers.




Digital Electronics


Book Description

The fundamentals and implementation of digital electronics are essential to understanding the design and working of consumer/industrial electronics, communications, embedded systems, computers, security and military equipment. Devices used in applications such as these are constantly decreasing in size and employing more complex technology. It is therefore essential for engineers and students to understand the fundamentals, implementation and application principles of digital electronics, devices and integrated circuits. This is so that they can use the most appropriate and effective technique to suit their technical need. This book provides practical and comprehensive coverage of digital electronics, bringing together information on fundamental theory, operational aspects and potential applications. With worked problems, examples, and review questions for each chapter, Digital Electronics includes: information on number systems, binary codes, digital arithmetic, logic gates and families, and Boolean algebra; an in-depth look at multiplexers, de-multiplexers, devices for arithmetic operations, flip-flops and related devices, counters and registers, and data conversion circuits; up-to-date coverage of recent application fields, such as programmable logic devices, microprocessors, microcontrollers, digital troubleshooting and digital instrumentation. A comprehensive, must-read book on digital electronics for senior undergraduate and graduate students of electrical, electronics and computer engineering, and a valuable reference book for professionals and researchers.




Binary, Octal and Hexadecimal for Programming and Computer Science


Book Description

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?




Leibniz on Binary


Book Description

The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.




Computer Fundamentals


Book Description

Computer Fundamentals is specifically designed to be used at the beginner level. It covers all the basic hardware and software concepts in computers and its peripherals in a very lucid manner.




INTRODUCTION TO DATA , COMPUTER COMMUNICATION AND NETWORKING


Book Description

In the rapidly evolving world of technology, data communication plays a pivotal role in enabling the exchange of information across various systems and networks. This book provides a comprehensive overview of the fundamental concepts, components, and techniques involved in data communication. Chapter 1 introduces the readers to the basics of data communication, including an exploration of its applications and the components of a data communication system. The chapter also covers essential topics such as data representation and the advantages of the binary number system. Chapter 2 delves into the realm of data transmission, discussing different modes of data transmission and various transmission media. It also explores multiplexing techniques and provides insights into guided and unguided transmission media. In Chapter 3, the focus shifts to signal encoding techniques. The chapter explores the differences between analog and digital signals and discusses digital-to-analog conversion. It also examines popular encoding methods such as AM, FM, Manchester coding, and differential Manchester coding. Chapter 4 expands on digital communication by exploring different digital modulation methods, including frequency shift keying (FSK), phase shift keying (PSK), and quadrature amplitude modulation (QAM). The chapter also explores the uses of computer networks, local area networks (LANs), and wide area networks (WANs). In Chapter 5, the concept of network topology takes center stage. The chapter explains various line configurations and explores different network topologies, such as bus, star, ring, mesh, and tree. It also introduces the layered architecture, including the OSI model and the TCP/IP model. Chapter 6 provides an introduction to the data link layer, covering its functions and design issues. The chapter discusses error detection and correction techniques and explores elementary data link protocols. It also delves into multiple access protocols, wireless local area networks (WLANs), and switching techniques. Chapter 7 focuses on "Data Link Control Protocols and High-Level Data Link Control (HDLC)." It explores the functions and design issues of the Data Link Layer, including error detection and correction techniques. The chapter also discusses elementary data link protocols, such as Sliding Window Protocols and HDLC, and their advantages and disadvantages. Additionally, it delves into the Medium Access Sublayer and multiple access protocols, highlighting the advantages and disadvantages of these protocols. Lastly, the chapter covers wireless local area networks (WLANs) and introduces different switching techniques. This book serves as a valuable resource for students, professionals, and enthusiasts seeking to gain a solid understanding of data communication. By combining theoretical explanations with practical examples, it aims to empower readers with the knowledge and skills necessary to navigate the complex world of data communication effectively