 The operations are called addition, subtraction, multiplication and division and have their usual properties, such as commutativity, associativity and distributivity.An example of a finite field is the set of 13 numbers {0, 1, 2, ..., 12} using modular arithmetic.In this field, the results of any mathematical operation (addition, subtraction, multiplication, or division) is reduced modulo 13; that is, multiples of 13 are added or subtracted until the result is brought within the range 0–12.