Mod 11 formula for valid check digit

[vijayparihar]

Hey guys, i am looking for a Mod 11 excel formula for valid check digit(for isbn 10)

example:
The check digit is the last digit of an ISBN. It is calculated on a modulus 11 with weights 10-2, using X in lieu of 10 where ten would occur as a check digit.

This means that each of the first nine digits of the ISBN – excluding the check digit itself – is multiplied by a number ranging from 10 to 2 and that the resulting sum of the products, plus the check digit, must be divisible by 11 without a remainder.
For example ISBN 0843610727


ISBN No. : 0 8 4 3 6 1 0 7 2 7
Weight : 10 9 8 7 6 5 4 3 2


i.e.(0*10 + 8*9 +4 *8 + 3*7 + 6*6 + 1*5 + 0*4 + 7*3 + 2*2 + 7)
--------------------------------------------------------------------------------

Products 0 +72 +32 +21 +36 +5 +0 +21 +4 +7


Total: 198

As 198 can be divided by 11 without remainder 0-8436-1072-7 is a valid ISBN.
7 is the valid check digit.

will really appreciate if some one can help me with and excel formula for the same, thanks guys..[/list]

 

[pgc01]

Hi vijayparihar

I tried this conversion from ISBN-13 to ISBN-10 with your case and some others I found on the web and it seems to work.

<table border="1" cellpadding="1" style="background:#FFF; border-collapse:collapse;border-width:2px;border-color:#CCCCCC;font-family:Arial,Arial; font-size:10pt" ><tr><th style="border-width:1px;border-color:#888888;background:#9CF " > </th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >A</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >B</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >C</th></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:center;border-width: 1px;border-color:#888888; ">ISBN 13</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:center;border-width: 1px;border-color:#888888; ">ISBN 10</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >2</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-0-393-04002-9</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">0-393-04002-X</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >3</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-1-4028-9462-6</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">1-4028-9462-7</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >4</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-0-14026-690-0</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">0-14026-690-9</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >5</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-0-735-62153-4</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">0-735-62153-5</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >6</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">9781401842932</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">1401842933</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >7</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">9781401841713</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">1401841716</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >8</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">9781401852306</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">1401852300</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >9</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">9781401852498</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">1401852491</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >10</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-0-87289-417-4</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">0-87289-417-7</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >11</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-1-93311-683-9</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">1-93311-683-8</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >12</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-0-87289-468-6</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">0-87289-468-1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >13</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">978-1-56802-899-6</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">1-56802-899-7</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " >14</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td colspan=4 style="background:#9CF; padding-left:1em" > [Book1]Sheet3</td></tr></table>



<table border="1" cellpadding="1" style="background:#FFF; border-collapse:collapse;border-width:2px;border-color:#CCCCCC;font-family:Arial,Arial; font-size:10pt" ><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; " >Addr</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; " >Formula</td></tr><tr><td colspan=2 style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; " >[Book1]Sheet3</td></tr><tr><td rowspan=2 style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:center; " >B2</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em; " > =SUBSTITUTE(TRIM(SUBSTITUTE(MID(A2,4,LEN(A2)-4),"-"," "))," ","-")&IF(MID(A2,LEN(A2)-1,1)="-","-","")&SUBSTITUTE(MOD(990
-SUMPRODUCT((11-ROW($1:$9))*MID(MID(SUBSTITUTE(A2,"-",""),4,9),ROW($1:$9),1)),11),10,"X") </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;; " > Copy down</td></tr></table>

 

[Joesamuel]

This seems to only respond TRUE or FALSE when provided with a 10 digit isbn... is there any way to modify so that I can provide a 9 digit ISBN and have the formula return the correct check digit?

Ok, 3rd time lucky.

This approach isn't as neat, but it does have the advantage of only requiring one cell. One of the gurus on here could probably offer a much better attempt.

Assuming A1 contains "0-8436-1072-7"
Formula (anywhere) (enter normally, no need for CSE): =MOD(LEFT(A1)*10+(MID(SUBSTITUTE(A1,"-",""),2,1)*9)+(MID(SUBSTITUTE(A1,"-",""),3,1)*8)+(MID(SUBSTITUTE(A1,"-",""),4,1)*7)+(MID(SUBSTITUTE(A1,"-",""),5,1)*6)+(MID(SUBSTITUTE(A1,"-",""),6,1)*5)+(MID(SUBSTITUTE(A1,"-",""),7,1)*4)+(MID(SUBSTITUTE(A1,"-",""),8,1)*3)+(MID(SUBSTITUTE(A1,"-",""),9,1)*2)+RIGHT(A1),11)=0

 

[barry houdini]

If 9 digit ISBN is in A2 try this formula to give the check digit

=SUBSTITUTE(MOD(SUMPRODUCT(-MID(SUBSTITUTE(A2,"-",""),{1,2,3,4,5,6,7,8,9},1),{10,9,8,7,6,5,4,3,2}),11),10,"X")

 

[Joesamuel]

Oh my goodness. You're a rockstar. Thanks Barry.

 

[BingoDandSouth]

Hi all, i have read through this thread and I am wondering if I can get some help please.
It is very similar to the attached posts so I believe this will be well within someone's wheelhouse, obviously not mine.

We are try to determine a Mod 11 check digit for a series of numbers within a excel worksheet. The weighting is as follows-:6,3,7,9,10,5,8,4,2,1
The 10 digit number to be processed will exist in a cell, for example A1.
All we need to determine is the check digit.

Any help will be greatly appreciated

 

[Tetra201]

Is this what you need?

=SUBSTITUTE(MOD(SUMPRODUCT(-MID(A1,{1,2,3,4,5,6,7,8,9,10},1),{6,3,7,9,10,5,8,4,2,1}),11),10,"X")

 

[BingoDandSouth]

Is this what you need?

=SUBSTITUTE(MOD(SUMPRODUCT(-MID(A1,{1,2,3,4,5,6,7,8,9,10},1),{6,3,7,9,10,5,8,4,2,1}),11),10,"X")

I believe it is the following but it needs to add the 10th digit. This algorithm from JoeSamuel located a few posts above is for 9 digits not 10

 

[Fluff]

Welcome to the MrExcel Message Board!

Cross-posting (posting the same question in more than one forum) is not against our rules, but the method of doing so is covered by #13 of the Forum Rules.

Be sure to follow & read the link at the end of the rule too!

Cross posted at: Modulus 11 Numbering with Non-Linear Weighting
There is no need to repeat the link(s) provided above but if you have posted the question at other places, please provide links to those as well.

If you do cross-post in the future and also provide links, then there shouldn’t be a problem.

 

[MARK858]

Just the table in post 21 converted if anyone wants it

Book1
	A	B
1	ISBN 13	ISBN 10
2	978-0-393-04002-9	0-393-04002-X
3	978-1-4028-9462-6	1-4028-9462-7
4	978-0-14026-690-0	0-14026-690-9
5	978-0-735-62153-4	0-735-62153-5
6	978-1-40184-293-2	1-40184-293-3
7	978-1-40184-171-3	1-40184-171-6
8	978-1-40185-230-6	1-40185-230-0
9	978-1-40185-249-8	1-40185-249-1
10	978-0-87289-417-4	0-87289-417-7
11	978-1-93311-683-9	1-93311-683-8
12	978-0-87289-468-6	0-87289-468-1
13	978-1-56802-899-6	1-56802-899-7
Sheet4

Cell Formulas
Range	Formula
B2:B13	B2	=SUBSTITUTE(TRIM(SUBSTITUTE(MID(A2,4,LEN(A2)-4),"-"," "))," ","-")&IF(MID(A2,LEN(A2)-1,1)="-","-","")&SUBSTITUTE(MOD(990 -SUMPRODUCT((11-ROW($1:$9))*MID(MID(SUBSTITUTE(A2,"-",""),4,9),ROW($1:$9),1)),11),10,"X")