Difference between revisions of "Manuals/calci/MOD"

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*<math>n</math> is any real number and <math>d</math>is the divisor   
 
*<math>n</math> is any real number and <math>d</math>is the divisor   
  
==Descrition==
+
==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: 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.  
+
*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>.  
 
*For e.g., MOD(5,2)=1. Here 1 is the remainder.  
 
*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).
+
*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 d value is 0.
 
*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.  
 
*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.
+
*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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#MOD(12,-4)=0
 
#MOD(12,-4)=0
 
#MOD(85,-9)=-5
 
#MOD(85,-9)=-5
MOD(-52,7)=4
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#MOD(-52,7)=4
MOD(0,9)=0
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#MOD(0,9)=0
MOD(9,0)=NAN
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#MOD(9,0)=NAN
MOD(5.5,2)=1.5
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#MOD(5.5,2)=1.5
Syntax
 
  
</div></div>
 
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<div id="4SpaceContent" align="left"><div class="ZEditBox" align="justify">
 
  
Remarks
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==See Also==
 +
*[[Manuals/calci/INT  | INT ]]
 +
*[[Manuals/calci/ROUND  | ROUND ]]
  
</div></div>
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==References==
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<div id="2SpaceContent" align="left"><div class="ZEditBox" align="justify">
 
 
 
Examples
 
 
 
</div></div>
 
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<div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
 
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<div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify">
 
 
 
<font size="5">Description</font>
 
 
 
</div></div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman"> <font size="6">MOD</font> </font>'''</div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><br /><div id="7Space" class="gamizbox" title="7Space"><div id="7SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="7SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="7SpaceRollupContent" align="center"></span></span></div><div id="7SpaceCover"><div id="7SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3" face="Times New Roman"> </font>
 
 
 
'''MOD''' ('''N''',''' D''')
 
 
 
'''N'''   is the number.
 
 
 
'''D''' is the divisor.
 
 
 
</div></div>
 
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<div id="13SpaceContent" class="zcontent" align="left"><br /><br /><div id="1Space" class="gamizbox" title="1Space"><div id="1SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="1SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="1SpaceRollupContent" align="center"></span></span></div><div id="1SpaceCover"><div id="1SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">      If Divisor is 0, MOD shows the error value.</div></div>
 
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<div id="14SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="5Space" class="gamizbox" title="5Space"><div id="5SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="5SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="5SpaceRollupContent" align="center"></span></span></div><div id="5SpaceCover"><div id="5SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman"> This function calculates the remainder of a number after division.</font></font></div></div>
 
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<div id="12SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="9Space" class="gamizbox" title="9Space"><div id="9SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="9SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="9SpaceRollupContent" align="center"></span></span></div><div id="9SpaceCover"><div id="9SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman"> 
 
 
 
Lets see an example in (Column1 Row 1, Column2Row1)
 
 
 
MOD (N, D)
 
 
 
MOD (C1R1, C2R1)
 
 
 
i.e. = MOD (5, 4) is 1
 
 
 
</font></font></div></div>
 
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<div id="6SpaceContent" class="zcontent" align="left">
 
 
 
{| id="TABLE3" class="SpreadSheet blue"
 
|- class="even"
 
| class="  " |
 
<div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
 
| Column1
 
| class="  " | Column2
 
| class="  " | Column3
 
| class="  " | Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f" | 5
 
| class="sshl_f" | 4
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | 1
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| Row3
 
| class="sshl_f SelectTD SelectTD" |
 
<div id="6Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row4
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| class=" " | Row5
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row6
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|}
 
 
 
<div align="left">[[Image:calci1.gif]]</div></div>
 
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</div></div></div></div></div></div></div></div></div></div></div></div>
 

Revision as of 22:31, 25 December 2013

MOD(n,d)


  • is any real number and is the divisor

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 . 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.
  • The function we can write using function: .
  • 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 and are with different then the result will come with the sign only.


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