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

# Arithmetic operations

One of the most useful and powerful aspects of having a number system is the ability to manipulate two or more numbers together using mathematical operations. We make extensive use of these operations with decimal numbers, when we add, subtract, multiply and divide them. You might be wondering how these operations extend to the binary number system. Let's have a look at these operations as they relate to binary, both in this lesson and in the rest of this chapter.

Learn how to carry out the addition and subtraction of binary numbers.

Introduction

Essential Number Systems

Some Binary Operations

Signed Binary Numbers

Representing Numbers With Fractional Parts

Representation in a Computer

Conclusion

Addition and Subtraction in Binary

Arithmetic operations