Book Image

Practical Discrete Mathematics

By : Ryan T. White, Archana Tikayat Ray
Book Image

Practical Discrete Mathematics

By: Ryan T. White, Archana Tikayat Ray

Overview of this book

Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you’ll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you’ll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you’ll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning.
Table of Contents (17 chapters)
1
Part I – Basic Concepts of Discrete Math
7
Part II – Implementing Discrete Mathematics in Data and Computer Science
12
Part III – Real-World Applications of Discrete Mathematics

Chapter 3: Computing with Base-n Numbers

We are all accustomed to decimal (base-10) numbers. In this chapter, we will introduce numbers in other bases, describe arithmetic operations with those numbers, and convert numbers from one base to another. We will then move to binary digits (base-2), which are the foundation on which all computer operations are built, develop an approach to efficient arithmetic with them, and look at some of the core uses of binary, including Boolean algebra. Lastly, we will discuss hexadecimal (base-16) numbers and their uses in computer science. We will use Python code to do some computations such as converting decimal numbers to binary and hexadecimal and use Boolean operators to select and view data that satisfies a certain criterion.

In this chapter, we will be covering the following topics:

  • Base-n numbers
  • Converting between bases
  • Binary numbers and their application
  • Boolean algebra
  • Hexadecimal numbers and their application...