# Summary

 Instructions presented below

## Converting from any other base to base 10.

To convert from any base to to base 10 can be broken down into 3 simple steps.

1. First put the place value of each binary digit
2. Second, Multiply each place value by its corresponding digit
3. Add the products that you got from multiplying in step two

Converting 111012 to base 10

Step 1 (since we are converting from base 2, Put the place values for base 2)

place values 16 8 4 2 1
Digits 1 1 1 0 1

Step 2 (Multiplying the place value by the corresponding digit to get the products)

place values 16 8 4 2 1
Digits 1 1 1 0 1
Products 16 8 4 0 1

Step 3 (Add the products together) 16 + 8 + 4 + 0 + 1 = 2910

Example
 Below is a demonstration on how to convert a base 8 number to a base 10 number

Converting 1428 to base 10

Step 1 (since we are converting from base 8, Put the place values for base 8)

place values 64 8 1
Digits 1 4 2

Step 2 (Multiplying the place value by the corresponding digit to get the products)

place values 64 8 1
Digits 1 4 2
Products 64 32 2

Step 3 (Add the products together) 64 + 32 + 2 = 9810