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.

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.

Number Systems For Computer Scientists

## What is the octal system?

A less widely used number system is the octal system. It was developed under the same idea as the hexadecimal system, to more compactly represent binary numbers. 

The octal system is different from the hexadecimal system in that it groups binary numbers into *triplets* to represent them, instead of *quartets*. For example, we can divide the number $11011011$ like: $011$ $011$ $011$.

> This means the octal system is base-8, as $2^3 = 8$.

# What is the octal system?

A less widely used number system is the octal system. It was developed under the same idea as the hexadecimal system, to more compactly represent binary numbers. 

The octal system is different from the hexadecimal system in that it groups binary numbers into *triplets* to represent them, instead of *quartets*. For example, we can divide the number $11011011$ like: $011$ $011$ $011$.

> This means the octal system is base-8, as $2^3 = 8$.

Get introduced to the octal number system, and learn how to easily perform conversions from octal to binary and vice versa.

Introduction

Essential Number Systems

Some Binary Operations

Signed Binary Numbers

Representing Numbers With Fractional Parts

Representation in a Computer

Conclusion

Introduction to the Octal System

What is the octal system?