Difference between revisions of "Manuals/calci/MOD"

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<div style="font-size:30px">'''MOD(n,d) '''</div><br/>
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<div style="font-size:30px">'''MOD(number,divisor) '''</div><br/>
*<math>n</math> is any real number and <math>d</math> is the divisor 
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*<math>number</math> and <math>divisor</math> are any real numbers.
  
 
==Description==
 
==Description==
 
*This function gives the remainder of the number after dividing with some number.
 
*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>.  
 
*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.  
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*For e.g., MOD(5,2)=1. Here 1 is the remainder.
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*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>.
 
*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.
 
*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.  
 
*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.
 
*But <math>n</math> and <math>d</math> are with different then the result will come with the <math> d </math> sign only.
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 +
==ZOS Section==
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*The syntax is to calculate remainder of the given numbers in ZOS is <math>MOD(number,divisor)</math>.
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**<math>number</math> and <math>divisor</math> are any real numbers.
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*For e.g.,mod(10,2),mod(50.2,-4)
  
 
==Examples==
 
==Examples==

Revision as of 00:59, 3 July 2014

MOD(number,divisor)


  • and 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: with remainder . Here is the dividend, is the divisor, is the Quotient and is the remainder.So .
  • For e.g., MOD(5,2)=1. Here 1 is the remainder.
  • Ler number be "n" and the divisor be "d"
  • The function we can write using function: .
  • This function will return the result as error when the value is 0.
  • Suppose the value of and with same sign either '+' or '-',then the result also with same sign.
  • But and are with different then the result will come with the sign only.

ZOS Section

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

Examples

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

See Also

References

Mod