In modular arithmetic, two integers are added and then the sum is divided by a positive integer called the modulus. The result of modular addition is the remainder of that division. For any modulus, n, the set of integers from 0 to n − 1 forms a group under modular addition: the inverse of any element a is n − a, and 0 is the identity element. This is familiar from the addition of hours on the face of a clock: if the hour hand is on 9 and is advanced 4 hours, it ends up on 1, as shown at the right. This is expressed by saying that 9 + 4 equals 1 "modulo 12" or, in symbols,
In modular arithmetic , two integers are added and then the sum is divided by a positive integer called the modulus . The result of modular addition is the remainder of that division . For any modulus , n , the set of integers from 0 to n − 1 forms a group under modular addition : the inverse of any element a is n − a , and 0 is the identity element . This is familiar from the addition of hours on the face of a clock : if the hour hand is on 9 and is advanced 4 hours , it ends up on 1 , as shown at the right . This is expressed by saying that 9 + 4 equals 1 " modulo 12 " or , in symbols ,
What type of device can be use to demonstrate modular addition?
What type of device can be use to demonstrate modular addition ?
a clock
a clock