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Created page with "<div style="font-size:30px">'''MOD(Number,Divisor) '''</div><br/> *<math>Number</math> and <math>Divisor</math> are any real numbers. **MOD() returns the remainder from divisi..."
<div style="font-size:30px">'''MOD(Number,Divisor) '''</div><br/>
*<math>Number</math> and <math>Divisor</math> are any real numbers.
**MOD() returns the remainder from division.

==Description==
*This function gives the remainder of the number after dividing with some number.
*When we divide two integers we will get the result like this: <math>\frac{X}{Y}= Q</math> with remainder <math>R</math>. Here <math> X </math> is the dividend, <math>Y</math> is the divisor, <math>Q</math> is the Quotient and <math> R</math> is the remainder.So <math> MOD(n,d)=R</math>.
*For e.g., MOD(5,2)=1. Here 1 is the remainder.
*Ler number be "n" and the divisor be "d"
*The <math>MOD</math> function we can write using <math>INT</math> function: <math> MOD(n,d)=n-d*INT(n/d)</math>.
*This function will return the result as error when the <math>d</math> value is 0.
*Suppose the value of <math>n</math> and <math>d</math> with same sign either '+' or '-',then the result also with same sign.
*But <math>n</math> and <math>d</math> are with different then the result will come with the <math> d </math> sign only.

==ZOS==
*The syntax is to calculate remainder of the given numbers in ZOS is <math>MOD(Number,Divisor)</math>.
**<math>Number</math> and <math>Divisor</math> are any real numbers.
*For e.g.,mod(10,2),mod(50.2,-4)

==Examples==
#=MOD(5,2)=1
#=MOD(-11,-3)=-2
#=MOD(25,5)=0
#=MOD(12,-4)=0
#=MOD(85,-9)=-5
#=MOD(-52,7)=4
#=MOD(0,9)=0
#=MOD(9,0)=NAN
#=MOD(5.5,2)=1.5

==Related Videos==

{{#ev:youtube|io-EZ8VS0MY|280|center|MOD}}

==See Also==
*[[Manuals/calci/MOPWITH | MOPWITH ]]
*[[Manuals/calci/MOPWITHLT | MOPWITHLT ]]
*[[Manuals/calci/MOPWITHGT | MOPWITHGT ]]


==References==
[http://en.wikipedia.org/wiki/Modulo_operation Mod]



*[[Z_API_Functions | List of Main Z Functions]]

*[[ Z3 | Z3 home ]]
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