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Appendix 1 of the International ISBN Agency's official user manual [16]: 33 describes how the 13-digit ISBN check digit is calculated. The ISBN-13 check digit, which is the last digit of the ISBN, must range from 0 to 9 and must be such that the sum of all the thirteen digits, each multiplied by its (integer) weight, alternating between 1 and 3 ...
ISO 6346. ISO 6346 is an international standard covering the coding, identification and marking of intermodal (shipping) containers used within containerized intermodal freight transport by the International Organization for Standardization (ISO). [ 1] The standard establishes a visual identification system for every container that includes a ...
For instance, the UPC-A barcode for a box of tissues is "036000241457". The last digit is the check digit "7", and if the other numbers are correct then the check digit calculation must produce 7. Add the odd number digits: 0+6+0+2+1+5 = 14. Multiply the result by 3: 14 × 3 = 42. Add the even number digits: 3+0+0+4+4 = 11.
The Global Trade Item Number ( GTIN) is an identifier for trade items, developed by the international organization GS1. [ 1] Such identifiers are used to look up product information in a database (often by entering the number through a barcode scanner pointed at an actual product) which may belong to a retailer, manufacturer, collector ...
In 2007, the length of an ISBN changed from 10 to 13 digits, and a new 3-digit prefix (978 or 979) was added in front of 10-digit ISBNs. [ 2] The following registration groups are compatible with or without a 978- prefix: 0–5. 600–639. 64–69. 7. 80–94. 950–989. 9900–9989.
The validity of a digit sequence containing a check digit is defined over a quasigroup. A quasigroup table ready for use can be taken from Damm's dissertation (pages 98, 106, 111). [3] It is useful if each main diagonal entry is 0, [1] because it simplifies the check digit calculation.
The check digit is found by taking the last digit times 1, the preceding digit times 2, the preceding digit times 3 etc., adding all these up and computing the sum modulo 10. For example, the CAS number of water is 7732-18-5: the checksum 5 is calculated as (8×1 + 1×2 + 2×3 + 3×4 + 7×5 + 7×6) = 105; 105 mod 10 = 5.
As shown on the photographs at right, the code may be arranged either vertically (e.g. on closed wagons) on three or more lines at man's height with the letter codes next to the corresponding part of the digit code, or horizontally (e.g. on flat wagons) at the bottom of the chassis side with all digits together (with groups separated by spaces and the check digit by a dash) and all letters ...