N Modulo 2. Here is the math to illustrate how to get 1 mod 2 using our modulo method: For example, we can divide 100100110 by 10011 as.

For our second definition, we'll define the 'remainder by n' operation:

Consider the sequence of m numbers 0;x;2x;:::(m¡1)x. 2.2 2 n ≡ 1 (mod n) 2.3 new terms from existing ones; Since there are only m distinct values modulo m, it must then be the case that ax = 1 mod m for. Therefore 24 and 34 are congruent modulo 10.