Binary Numbers

Overview of binary numbers

Binary is an alternative way of representing numbers with only two digits. These two digits are 1 and 0. Any number can be represented as a binary number using 1 and 0. Binary digits are used to represent numbers in computers and other digital systems.

Binary numbers can be used in much the same way as the decimal systems you were likely taught in school. In binary numbers, you can count, add, subtract, multiply and even divide!

How to count with binary numbers?

Counting in binary is easy as we only have to worry about two digits. The first two numbers in binary are 0 and 1. Let’s look at how to count to ten in binary.

Examples of binary numbers

Let's look at some common examples of what certain numbers are in binary and decimal.

Example 1: What is zero (0) in binary?

In binary zero is also 0.

Example 2: What is one (1) in binary?

In binary one is also 1.

Example 3: What is two (2) in binary?

In binary two is 10.

Example 4: What is three (3) in binary?

In binary three is 11.

Example 5: What is four (4) in binary?

In binary four is 100.

Example 6: What is sixteen (16) in binary?

In binary sixteen is 10000.

Example 7: What is thirty-two (32) in binary?

In binary thirty-two is 100000.

Example 8: What is sixty-four (64) in binary?

In binary two is 1000000.

Example 9: What is one-twenty-eight (128) in binary?

In binary two is 10000000.

Practice questions for binary numbers

Now that you have learned about binary numbers, try these twenty practice questions to help test your knowledge.

Calculators for binary numbers

Here are some calculators that can help you with binary numbers:

Converters for binary numbers

Here are some converters that can help you with binary numbers:

Further learning about binary numbers

Here are some resources that can help you learn more about binary numbers: