# In the binary number system which is used in computer operations, there are only two digits allowed: 0 and 1. If eight binary digits are used, how many different binary numbers can be formed?

##### 1 Answer

Dec 17, 2017

#### Explanation:

For each digit, there are 2 possibilities: 0, 1.

If we have a 1-digit number, the number of possibilities is 2.

If we have a 2-digit number, the number of possibilities is

If we have a 3-digit number, the number of possibilities is

And so on.

An 8-digit number, therefore, has