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Identification Numbers

by: Gabby Notetaker

Identification Numbers Math 1000

Marketplace > Wayne State University > Math > Math 1000 > Identification Numbers
Gabby Notetaker
GPA 3.8
Math in today's world
Professor Buckman

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About this Document

All notes concerning the different types of ID Numbers/Codes
Math in today's world
Professor Buckman
Class Notes
25 ?




Popular in Math in today's world

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This 3 page Class Notes was uploaded by Gabby Notetaker on Tuesday October 6, 2015. The Class Notes belongs to Math 1000 at Wayne State University taught by Professor Buckman in Summer 2015. Since its upload, it has received 67 views. For similar materials see Math in today's world in Math at Wayne State University.


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Date Created: 10/06/15
Identi cation Numbers Check Digit single digit appended to an identi cation number The purpose of a check digit is to correct errors Types of Errors 1 Single Digit a 137127 2 Transposition Error a 123132 3 Multiple Digit a 146132 4 jump Transposition a 123321 UPC Codes used on consumer products 12 digit codes To nd the sum of a UPC Code 1 Multiply digits in odd places by 3 and multiply digits in even places by 1 2 Add all numbers 3 In order to be a valid UPC code the sum must end in a ZERO a 40 20 90 EXAMPLE 8345 2341 8960 83 31 43 51 23 31 43 11 83 91 63 01 24312563121249180 270ljendsin zero is VALID Catches 100 of single digit errors and 89 of other errors Codabar used for credit cards 16 digit codes To nd the sum of a Credit Card 1 Multiply odd places by 2 and multiply even places by 1 2 Add all numbers as well as the number of digits in odd places that are bigger than 4 3 In order to be a valid credit card number the sum must end in a ZERO a 5070100 EXAMPLE 3245 6783 9812 0012 32 21 42 51 62 71 82 31 92 81 12 21 02 01 12 21 6285127163188220021 92 l does NOT end in zero is INVALID Catches 100 of single digit errors and 98 of other errors ISBN10 used for books 10 digit codes To nd the sum of an ISBN10 code 1 Multiply rst digit by 10 second by 9 third by 8 fourth by 7 and so on 2 Add all numbers 3 In order for the code to be valid the sum must be evenly divisible by 11 a 33 44 55 EXAMPLE 1223467752 110 29 28 37 46 65 74 73 52 21 1018162124302821102 18011 1636363 is not evenly divisible by 11 is INVALID Catches 100 of single digit errors and 100 of transposition errors


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