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# what is the mathematical function mod

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what is the mathematical function mod

Guest Apr 19, 2017
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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.

Neptune Apr 19, 2017
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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

heureka Apr 20, 2017
edited by heureka  Apr 20, 2017
edited by heureka  Apr 20, 2017

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