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Number Systems For Computer Scientists

Gain insights into essential number systems for computer scientists. Explore binary representation, and learn to represent and manipulate positive, negative, and fractional numbers stored in computers.

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31 Lessons

Certificate of Completion

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This course includes

26 Quizzes

Course Overview

What You'll Learn

Course Content

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Course Overview

Get introduced to the number systems that are essential for computer scientists, and take a deep dive into binary representation. Learn how to represent and manipulate, positive, negative, and fractional numbers in binary, and learn how numbers are stored and represented in computers. The only background this course requires is grade-school arithmetic. No programming knowledge is needed.

What You'll Learn

Differentiate between binary, hexadecimal and other number systems, and understand how to convert between them

Perform binary arithmetic

Understand fixed point notation

Learn how floating point representation works

Understand the basics of computer storage

Differentiate between binary, hexadecimal and other number systems, and understand how to convert between them

Course Content

Introduction

1 Lessons

Get familiar with essential number systems, binary manipulations, and computer memory concepts.

Getting Started

Essential Number Systems

8 Lessons

Discover essential number systems, their conversions, and applications in computing.

Introduction to Number Systems and the Decimal System

Introduction to the Binary System

Binary Conversions

Introduction to the Hexadecimal System

Conversions between Hexadecimal and Binary

Introduction to the Octal System

N-Base Number System

Exercise: Create Your Own Number System

Some Binary Operations

4 Lessons

Break apart binary arithmetic, shift operations, and fundamental multiplication and division techniques.

Addition and Subtraction in Binary

Shift Operations

Multiplication in Binary

Division in Binary

Signed Binary Numbers

6 Lessons

Grasp the fundamentals of signed binary number representations and arithmetic operations in computing.

Sign Magnitude

One's Complement

Two's Complement

Arithmetic with Signed Numbers

Multiplication With Signed Numbers

Division with Signed Numbers

Representing Numbers With Fractional Parts

8 Lessons

Dig into fractional number representation using fixed and floating point notations.

Fixed Point Notation

Why Do We Need Floating Point Numbers?

Floating Point Representation

Floating Point Conversions

Addition and Subtraction of Floating Points

Multiplication and Division of Floating Points

Floating Point Properties

IEEE 754 Floating Point Standard

Representation in a Computer

3 Lessons

Simplify complex concepts of binary units, text encoding, and computer memory structure.

Bits and Bytes

ASCII

What Is Memory?

Conclusion

1 Lessons

Master the steps to further explore programming languages and computational problem solving.

Where to Go From Here?

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