Mod

Mod[m, n] gives the remainder on division of m by n.

Mod[m, n, d] uses an offset d.

For integers m and n Mod[m, n] lies between 0 and .

Mod[m, n, 1] gives a result in the range 1 to n, suitable for use in functions such as Part.

Mod[m, n, d] gives a result x such that and .

The sign of Mod[m, n] is always the same as the sign of n, at least so long as m and n are both real.

The arguments of Mod can be any numeric quantities, not necessarily integers.

Mod[x, 1] gives the fractional part of x.

Examples

Using InstantCalculators

Here is the InstantCalculator for the Mod function. Enter the parameters for your calculation and click Calculate to see the result.

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Entering Commands Directly

You can paste a template for this command via the Text Input button on the Mod Function Controller.

Here are a few examples of division remainders.

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