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

## Why is this conversion important?

As mentioned in the lesson on the hexadecimal system, the system’s main power lies in the compactness and ease of representation it brings to the binary system. Binary numbers with 8, 16, and 32 digits are often used in computers (we’ll cover this in detail later). The hexadecimal system is a natural extension of that notation, because it considers groups of four binary digits.

# Why is this conversion important?

As mentioned in the lesson on the hexadecimal system, the system’s main power lies in the compactness and ease of representation it brings to the binary system. Binary numbers with 8, 16, and 32 digits are often used in computers (we’ll cover this in detail later). The hexadecimal system is a natural extension of that notation, because it considers groups of four binary digits.

Learn how to easily convert between hexadecimal and binary notation.

Introduction

Essential Number Systems

Some Binary Operations

Signed Binary Numbers

Representing Numbers With Fractional Parts

Representation in a Computer

Conclusion

Conversions between Hexadecimal and Binary

Why is this conversion important?