+470 In computing, the modulo operation finds the remainder after division of one number by another (sometimes called modulus). Given two positive numbers, a (the dividend) and n (the divisor), a modulo n (abbreviated as a mod n) is the remainder of the Euclidean division of a by n.
+26367 what is the mathematical function mod
Formula:
\(a \text{ mod } b = a-b\cdot [\frac ab] \qquad \qquad [\frac ab] \text{ is the integer part of a divided b}\)
Example:
\(102 \text{ mod } 12 = 102-12\cdot [\frac{102}{12}] \\ 102 \text{ mod } 12 = 102-12\cdot [8.5] \\ 102 \text{ mod } 12 = 102-12\cdot 8 \\ 102 \text{ mod } 12 = 102-96 \\ 102 \text{ mod } 12 = 6 \)
The remainder of \(\frac{102}{12} \) is 6
