Problem 45490. Luhn's Algorithm

Created by Thomas Steffen

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Luhn's Algorithm is used as a checksum for credit card numbers or similar identifiers. It can detect single-digit changes and swapped digits. It consists of four steps:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>Double every second digit (starting with the last one).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>If a digit exceeds 9 due to the doubling, subtract 9.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>Add all the digits.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>Append the last digit of the sum to the original number.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>More information can be found on</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Luhn_algorithm\"><w:r><w:t>&lt;https://en.wikipedia.org/wiki/Luhn_algorithm</w:t></w:r></w:hyperlink><w:r><w:t>&gt; or in ISO/IEC 7812-1.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Your function takes the original numbers as a character vector, and it has to return a character vector that includes the checksum.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

41 Solutions
15 Solvers

Last Solution submitted on Jan 04, 2022

Last 200 Solutions

Problem Recent Solvers15

Problem Tags

checksum

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 45490. Luhn's Algorithm

Solution Stats

Last 200 Solutions

Problem Recent Solvers15

Suggested Problems

More from this Author1

Problem Tags

Community Treasure Hunt

Problem 45490. Luhn's Algorithm

Solution Stats

Last 200 Solutions

Problem Recent Solvers15

Suggested Problems

More from this Author1

Problem Tags

Community Treasure Hunt

Players