Difference between revisions of "Manuals/calci/MOD"

Revision as of 03:48, 26 December 2013

MOD(n,d)

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: ${\frac {X}{Y}}=Q$ with remainder $R$ . Here $X$ is the dividend, $Y$ is the divisor, $Q$ is the Quotient and $R$ is the remainder.So $MOD(n,d)=R$ .
For e.g., MOD(5,2)=1. Here 1 is the remainder.
The $MOD$ function we can write using $INT$ function: $MOD(n,d)=n-d*INT(n/d)$ .
This function will return the result as error when the $d$ value is 0.
Suppose the value of $n$ and $d$ with same sign either '+' or '-',then the result also with same sign.
But $n$ and $d$ are with different then the result will come with the $d$ sign only.

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

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 ==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:  X/Y= Q 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>.
+*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.
 *The <math>MOD</math> function we can write using <math>INT</math> function: <math> MOD(n,d)=n-d*INT(n/d)</math>.
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 *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.
 ==Examples==