**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 numbers in a number system.

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

Binary digits can only be 0 or 1, so they are Base-2.

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