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

For floating point multiplication, we decode the number and then carry out the following steps:
- Multiply the mantissae to get the mantissa
- Add the exponents to get the exponent
- Add the signs to get the sign

Let's illustrate with an example, using our [$8$-bit floating point representation](https://www.educative.io/courses/number-systems-for-computer-scientists/floating-point-representation).

# Multiplication

For floating point multiplication, we decode the number and then carry out the following steps:
- Multiply the mantissae to get the mantissa
- Add the exponents to get the exponent
- Add the signs to get the sign

Let's illustrate with an example, using our [$8$-bit floating point representation](https://www.educative.io/courses/number-systems-for-computer-scientists/floating-point-representation).

Learn how to multiply and divide floating point numbers.

Introduction

Essential Number Systems

Some Binary Operations

Signed Binary Numbers

Representing Numbers With Fractional Parts

Representation in a Computer

Conclusion

Multiplication and Division of Floating Points

Multiplication