**Definition 1**: The number that gets multiplied when using an exponent.

Examples:

• in 8

^{2}, 8 is the base, and the result is 8 × 8 = 64

• in 5

^{3}, 5 is the base, and the result is 5 × 5 × 5 = 125

**Definition 2**: How many digits in a number system.

The decimal number system we use every day has 10 digits {0,1,2,3,4,5,6,7,8,9} and so it is

**Base 10**.

A binary digit can only be 0 or 1, so is

**Base 2**.

A hexadecimal digit can be {0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F}, so is

**Base 16**.

Copyright © 2018 MathsIsFun.com