Difference between revisions of "Manuals/calci/MOD"

Revision as of 23:59, 2 July 2014

MOD(number,divisor)

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.
Ler number be "n" and the divisor be "d"
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.

The syntax is to calculate remainder of the given numbers in ZOS is .
- $number$ and $divisor$ are any real numbers.
For e.g.,mod(10,2),mod(50.2,-4)

=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

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''MOD(n,d) '''</div><br/>
+<div style="font-size:30px">'''MOD(number,divisor) '''</div><br/>
-*<math>n</math> is any real number and <math>d</math> is the divisor
+*<math>number</math> and <math>divisor</math> are any real numbers.
 ==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 Section==
+*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==