IJPAM: Volume 78, No. 8 (2012)
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN
Abstract. This article explains how barcodes are read mathematically. One numeral is constructed from 7 modules in a barcode. Firstly, a counting method is presented through which the number of different characters which can be expressed is obtained. After touching upon formulae for permutations and combinations, duplicated combinations are expressed explicitly. The use of a modulus of 10 is mentioned with regard to the calculation of check digits.
Received: March 5, 2012
AMS Subject Classification: 00A09, 90C08, 97A20
Key Words and Phrases: barcode, tree diagram, permutation, combination, duplicated permutation, duplicated combination, check digits, modulo 10
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395