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

## Decimal to floating point

Let's consider the method of representing decimal numbers as floating points, using the $8$-bit representation we introduced in the [previous lesson](https://www.educative.io/courses/number-systems-for-computer-scientists/floating-point-representation). Recall; that we had $3$ exponent bits and $4$ mantissa bits. The bias for the exponent was $3$.

# Decimal to floating point

Let's consider the method of representing decimal numbers as floating points, using the $8$-bit representation we introduced in the [previous lesson](https://www.educative.io/courses/number-systems-for-computer-scientists/floating-point-representation). Recall; that we had $3$ exponent bits and $4$ mantissa bits. The bias for the exponent was $3$.

Learn how to convert numbers back and forth between decimal and floating point representations.

Introduction

Essential Number Systems

Some Binary Operations

Signed Binary Numbers

Representing Numbers With Fractional Parts

Representation in a Computer

Conclusion

Floating Point Conversions

Decimal to floating point