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

## Multiplication technique
Multiplication in binary has three basic operations:
- $1 \times 1 = 1$
- $1 \times 0 = 0$
- $0 \times 0 = 0$

The rest of the technique is to apply the decimal method of multiplication; i.e., to stack up the individual numbers and multiply digit by digit, adding up the final answers. Let's see an illustration with a few examples.


# Multiplication technique
Multiplication in binary has three basic operations:
- $1 \times 1 = 1$
- $1 \times 0 = 0$
- $0 \times 0 = 0$

The rest of the technique is to apply the decimal method of multiplication; i.e., to stack up the individual numbers and multiply digit by digit, adding up the final answers. Let's see an illustration with a few examples.


Introduction

Essential Number Systems

Some Binary Operations

Signed Binary Numbers

Representing Numbers With Fractional Parts

Representation in a Computer

Conclusion

Multiplication in Binary

Multiplication technique