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Oracle® Database SQL Language Reference
11g Release 1 (11.1)

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Description of mod.gif follows
Description of the illustration mod.gif


MOD returns the remainder of n2 divided by n1. Returns n2 if n1 is 0.

This function takes as arguments any numeric datatype or any nonnumeric datatype that can be implicitly converted to a numeric datatype. Oracle determines the argument with the highest numeric precedence, implicitly converts the remaining arguments to that datatype, and returns that datatype.

See Also:

Table 2-10, "Implicit Type Conversion Matrix" for more information on implicit conversion and "Numeric Precedence" for information on numeric precedence


The following example returns the remainder of 11 divided by 4:

SELECT MOD(11,4) "Modulus" FROM DUAL;


This function behaves differently from the classical mathematical modulus function when m is negative. The classical modulus can be expressed using the MOD function with this formula:

m - n * FLOOR(m/n)

The following table illustrates the difference between the MOD function and the classical modulus:

m n MOD(m,n) Classical Modulus
11 4 3 3
11 -4 3 -1
-11 4 -3 1
-11 -4 -3 -3

See Also:

FLOOR and REMAINDER, which is similar to MOD, but uses ROUND in its formula instead of FLOOR