Mathematics for Digital Science 2: Digital Information [Hardcover]

Over the past century, advancements in computer science have consistently resulted from extensive mathematical work. Even today, innovations in the digital domain continue to be grounded in a strong mathematical foundation. To succeed in this profession, both today's students and tomorrows computer engineers need a solid mathematical background.

The goal of this book series is to offer a solid foundation of the knowledge essential to working in the digital sector. Across three volumes, it explores fundamental principles, digital information, data analysis, and optimization. Whether the reader is pursuing initial training or looking to deepen their expertise, the Mathematics for Digital Science series revisits familiar concepts, helping them refresh and expand their knowledge while also introducing equally essential, newer topics.

Preface xi

Chapter 1 Representation of Numbers 1

1.1 Representation of numbers 2

1.1.1 Position numbering 2

1.1.2 The binary system 3

1.1.3 Octal system and hexadecimal system 6

1.2 Representation of numbers in a machine 8

1.2.1 Machine representation of negative numbers 8

1.2.2 Representation of rational numbers 12

Chapter 2 Media Representation 17

2.1 Character coding 17

2.2 Image coding 23

2.2.1 Representation of digital colors 23

2.2.2 Scanning an image 24

2.2.3 Image quality 24

2.3 Sound coding 26

2.4 Video coding 28

2.5 Tagging codes 29

2.5.1 Figures 29

2.5.2 Bank cards 30

2.5.3 Barcodes 32

2.5.4 QR codes 34

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