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54-437: Rogers, B. and S. (2005). Travellers: Lanzarote & Fuertaventura , Peterborough: Thomas Cook Publishing. ISBN   1-84157-504-6 29°10′57″N 13°29′022″W  /  29.18250°N 13.48944°W  / 29.18250; -13.48944 This Canary Islands location article is a stub . You can help Misplaced Pages by expanding it . ISBN (identifier) The International Standard Book Number ( ISBN )

108-467: A 12-digit Standard Book Number of 345-24223-8-595 (valid SBN: 345-24223-8, ISBN: 0-345-24223-8), and it cost US$ 5.95 . Since 1 January 2007, ISBNs have contained thirteen digits, a format that is compatible with " Bookland " European Article Numbers , which have 13 digits. Since 2016, ISBNs have also been used to identify mobile games by China's Administration of Press and Publication . The United States , with 3.9 million registered ISBNs in 2020,

162-467: A different ISBN, but an unchanged reprint of the hardcover edition keeps the same ISBN. The ISBN is ten digits long if assigned before 2007, and thirteen digits long if assigned on or after 1 January 2007. The method of assigning an ISBN is nation-specific and varies between countries, often depending on how large the publishing industry is within a country. The first version of the ISBN identification format

216-400: A given ISBN is complicated, because most of the parts do not use a fixed number of digits. ISBN issuance is country-specific, in that ISBNs are issued by the ISBN registration agency that is responsible for that country or territory regardless of the publication language. The ranges of ISBNs assigned to any particular country are based on the publishing profile of the country concerned, and so

270-494: A similar kind, the International Standard Serial Number (ISSN), identifies periodical publications such as magazines and newspapers . The International Standard Music Number (ISMN) covers musical scores . The Standard Book Number (SBN) is a commercial system using nine-digit code numbers to identify books. In 1965, British bookseller and stationers WHSmith announced plans to implement

324-468: A standard numbering system for its books. They hired consultants to work on their behalf, and the system was devised by Gordon Foster , emeritus professor of statistics at Trinity College Dublin . The International Organization for Standardization (ISO) Technical Committee on Documentation sought to adapt the British SBN for international use. The ISBN identification format was conceived in 1967 in

378-401: A systematic pattern, which allows their length to be determined, as follows: A check digit is a form of redundancy check used for error detection , the decimal equivalent of a binary check bit . It consists of a single digit computed from the other digits in the number. The method for the 10-digit ISBN is an extension of that for SBNs, so the two systems are compatible; an SBN prefixed with

432-414: A wider range of characters in the check digit, for example letters plus numbers. The final digit of a Universal Product Code , International Article Number , Global Location Number or Global Trade Item Number is a check digit computed as follows: A GS1 check digit calculator and detailed documentation is online at GS1's website. Another official calculator page shows that the mechanism for GTIN-13

486-461: A zero (the 10-digit ISBN) will give the same check digit as the SBN without the zero. The check digit is base eleven, and can be an integer between 0 and 9, or an 'X'. The system for 13-digit ISBNs is not compatible with SBNs and will, in general, give a different check digit from the corresponding 10-digit ISBN, so does not provide the same protection against transposition. This is because the 13-digit code

540-564: A zero to a 9-digit SBN creates a valid 10-digit ISBN. The national ISBN agency assigns the registrant element ( cf. Category:ISBN agencies ) and an accompanying series of ISBNs within that registrant element to the publisher; the publisher then allocates one of the ISBNs to each of its books. In most countries, a book publisher is not legally required to assign an ISBN, although most large bookstores only handle publications that have ISBNs assigned to them. The International ISBN Agency maintains

594-457: Is 0×10 + 2×9 + 0×8 + 1×7 + 5×6 + 3×5 + 0×4 + 8×3 + 2×2 + 1×1 = 99 ≡ 0 (mod 11). So the ISBN is valid. Positions can also be counted from left, in which case the check digit is multiplied by 10, to check validity: 0×1 + 2×2 + 0×3 + 1×4 + 5×5 + 3×6 + 0×7 + 8×8 + 2×9 + 1×10 = 143 ≡ 0 (mod 11). ISBN 13 (in use January 2007) is equal to the EAN-13 code found underneath a book's barcode. Its check digit

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648-477: Is 7, and the complete sequence is ISBN 978-0-306-40615-7. In general, the ISBN check digit is calculated as follows. Let Then This check system—similar to the UPC check digit formula—does not catch all errors of adjacent digit transposition. Specifically, if the difference between two adjacent digits is 5, the check digit will not catch their transposition. For instance, the above example allows this situation with

702-475: Is a check digit computed so that multiplying each digit by its position in the number (counting from the right) and taking the sum of these products modulo 11 is 0. The digit the farthest to the right (which is multiplied by 1) is the check digit, chosen to make the sum correct. It may need to have the value 10, which is represented as the letter X. For example, take the ISBN   0-201-53082-1 : The sum of products

756-400: Is a multiple of 11. That is, if x i is the i th digit, then x 10 must be chosen such that: For example, for an ISBN-10 of 0-306-40615-2: Formally, using modular arithmetic , this is rendered It is also true for ISBN-10s that the sum of all ten digits, each multiplied by its weight in ascending order from 1 to 10, is a multiple of 11. For this example: Formally, this

810-485: Is a numeric commercial book identifier that is intended to be unique. Publishers purchase or receive ISBNs from an affiliate of the International ISBN Agency. A different ISBN is assigned to each separate edition and variation of a publication, but not to a simple reprinting of an existing item. For example, an e-book , a paperback and a hardcover edition of the same book must each have

864-538: Is analogous to a binary parity bit used to check for errors in computer-generated data. It consists of one or more digits (or letters) computed by an algorithm from the other digits (or letters) in the sequence input. With a check digit, one can detect simple errors in the input of a series of characters (usually digits) such as a single mistyped digit or some permutations of two successive digits. Check digit algorithms are generally designed to capture human transcription errors . In order of complexity, these include

918-424: Is available on the International ISBN Agency website. A list for a few countries is given below: The ISBN registration group element is a 1-to-5-digit number that is valid within a single prefix element (i.e. one of 978 or 979), and can be separated between hyphens, such as "978-1-..." . Registration groups have primarily been allocated within the 978 prefix element. The single-digit registration groups within

972-625: Is generated the same way as the UPC. The NOID Check Digit Algorithm (NCDA), in use since 2004, is designed for application in persistent identifiers and works with variable length strings of letters and digits, called extended digits. It is widely used with the ARK identifier scheme and somewhat used with schemes, such as the Handle System and DOI . An extended digit is constrained to betanumeric characters, which are alphanumerics minus vowels and

1026-402: Is not needed, but it may be considered to simplify the calculation.) For example, the check digit for the ISBN of 0-306-40615- ? is calculated as follows: Thus the check digit is 2. It is possible to avoid the multiplications in a software implementation by using two accumulators. Repeatedly adding t into s computes the necessary multiples: The modular reduction can be done once at

1080-414: Is rendered The two most common errors in handling an ISBN (e.g. when typing it or writing it down) are a single altered digit or the transposition of adjacent digits. It can be proven mathematically that all pairs of valid ISBN-10s differ in at least two digits. It can also be proven that there are no pairs of valid ISBN-10s with eight identical digits and two transposed digits (these proofs are true because

1134-466: Is the same for Global Location Number /GLN. 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. Another example: to calculate the check digit for the following food item "01010101010 x ". The final character of a ten-digit International Standard Book Number

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1188-507: The Damm algorithm (2004), that too detects all single-digit errors and all adjacent transposition errors. These three methods use a single check digit and will therefore fail to capture around 10% of more complex errors. To reduce this failure rate, it is necessary to use more than one check digit (for example, the modulo 97 check referred to below, which uses two check digits—for the algorithm, see International Bank Account Number ) and/or to use

1242-415: The publisher , "01381" is the serial number assigned by the publisher, and "8" is the check digit . By prefixing a zero, this can be converted to ISBN   0-340-01381-8 ; the check digit does not need to be re-calculated. Some publishers, such as Ballantine Books , would sometimes use 12-digit SBNs where the last three digits indicated the price of the book; for example, Woodstock Handmade Houses had

1296-448: The 13-digit ISBN, as follows: A 13-digit ISBN can be separated into its parts ( prefix element , registration group , registrant , publication and check digit ), and when this is done it is customary to separate the parts with hyphens or spaces. Separating the parts ( registration group , registrant , publication and check digit ) of a 10-digit ISBN is also done with either hyphens or spaces. Figuring out how to correctly separate

1350-473: The 2 and 5 multiply to yield 10. The ISBN-10 code instead uses modulo 11, which is prime, and all the number positions have different weights 1, 2, ... 10. This system thus detects all single-digit substitution and transposition errors (including jump transpositions), but at the cost of the check digit possibly being 10, represented by "X". (An alternative is simply to avoid using the serial numbers which result in an "X" check digit.) ISBN-13 instead uses

1404-432: The 6 followed by a 1. The correct order contributes 3 × 6 + 1 × 1 = 19 to the sum; while, if the digits are transposed (1 followed by a 6), the contribution of those two digits will be 3 × 1 + 1 × 6 = 9 . However, 19 and 9 are congruent modulo 10, and so produce the same, final result: both ISBNs will have a check digit of 7. The ISBN-10 formula uses the prime modulus 11 which avoids this blind spot, but requires more than

1458-473: The 978-prefix element are: 0 or 1 for English-speaking countries; 2 for French-speaking countries; 3 for German-speaking countries; 4 for Japan; 5 for Russian-speaking countries; and 7 for People's Republic of China. Example 5-digit registration groups are 99936 and 99980, for Bhutan. The allocated registration groups are: 0–5, 600–631, 65, 7, 80–94, 950–989, 9910–9989, and 99901–99993. Books published in rare languages typically have longer group elements. Within

1512-583: The 979 prefix element, the registration group 0 is reserved for compatibility with International Standard Music Numbers (ISMNs), but such material is not actually assigned an ISBN. The registration groups within prefix element 979 that have been assigned are 8 for the United States of America, 10 for France, 11 for the Republic of Korea, and 12 for Italy. The original 9-digit standard book number (SBN) had no registration group identifier, but prefixing

1566-566: The GS1 algorithm used in EAN numbers. More complicated algorithms include the Luhn algorithm (1954), which captures 98% of single-digit transposition errors (it does not detect 90 ↔ 09) and the still more sophisticated Verhoeff algorithm (1969), which catches all single-digit substitution and transposition errors, and many (but not all) more complex errors. Similar is another abstract algebra -based method,

1620-416: The ISBN is less than eleven digits long and because 11 is a prime number ). The ISBN check digit method therefore ensures that it will always be possible to detect these two most common types of error, i.e., if either of these types of error has occurred, the result will never be a valid ISBN—the sum of the digits multiplied by their weights will never be a multiple of 11. However, if the error were to occur in

1674-513: The International ISBN Agency as the registration authority for ISBN worldwide and the ISBN Standard is developed under the control of ISO Technical Committee 46/Subcommittee 9 TC 46/SC 9 . The ISO on-line facility only refers back to 1978. An SBN may be converted to an ISBN by prefixing the digit "0". For example, the second edition of Mr. J. G. Reeder Returns , published by Hodder in 1965, has "SBN 340 01381 8" , where "340" indicates

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1728-520: The United Kingdom by David Whitaker (regarded as the "Father of the ISBN") and in 1968 in the United States by Emery Koltay (who later became director of the U.S. ISBN agency R. R. Bowker ). The 10-digit ISBN format was developed by the ISO and was published in 1970 as international standard ISO 2108. The United Kingdom continued to use the nine-digit SBN code until 1974. ISO has appointed

1782-657: The allocations of ISBNs that they make to publishers. For example, a large publisher may be given a block of ISBNs where fewer digits are allocated for the registrant element and many digits are allocated for the publication element; likewise, countries publishing many titles have few allocated digits for the registration group identifier and many for the registrant and publication elements. Here are some sample ISBN-10 codes, illustrating block length variations. English-language registration group elements are 0 and 1 (2 of more than 220 registration group elements). These two registration group elements are divided into registrant elements in

1836-466: The check digit itself). Each digit, from left to right, is alternately multiplied by 1 or 3, then those products are summed modulo 10 to give a value ranging from 0 to 9. Subtracted from 10, that leaves a result from 1 to 10. A zero replaces a ten, so, in all cases, a single check digit results. For example, the ISBN-13 check digit of 978-0-306-40615- ? is calculated as follows: Thus, the check digit

1890-419: The check digit must equal either 0 or 11. Therefore, the check digit is (11 minus the remainder of the sum of the products modulo 11) modulo 11. Taking the remainder modulo 11 a second time accounts for the possibility that the first remainder is 0. Without the second modulo operation, the calculation could result in a check digit value of 11 − 0 = 11 , which is invalid. (Strictly speaking, the first "modulo 11"

1944-552: The check digit would be 5, giving 48715. Systems with weights of 1, 3, 7, or 9, with the weights on neighboring numbers being different, are widely used: for example, 31 31 weights in UPC codes, 13 13 weights in EAN numbers (GS1 algorithm), and the 371 371 371 weights used in United States bank routing transit numbers . This system detects all single-digit errors and around 90% of transposition errors. 1, 3, 7, and 9 are used because they are coprime with 10, so changing any digit changes

1998-460: The check digit; using a coefficient that is divisible by 2 or 5 would lose information (because 5×0 = 5×2 = 5×4 = 5×6 = 5×8 = 0 modulo 10) and thus not catch some single-digit errors. Using different weights on neighboring numbers means that most transpositions change the check digit; however, because all weights differ by an even number, this does not catch transpositions of two digits that differ by 5 (0 and 5, 1 and 6, 2 and 7, 3 and 8, 4 and 9), since

2052-411: The complete sequence is ISBN 0-306-40615-2. If the value of x 10 {\displaystyle x_{10}} required to satisfy this condition is 10, then an 'X' should be used. Alternatively, modular arithmetic is convenient for calculating the check digit using modulus 11. The remainder of this sum when it is divided by 11 (i.e. its value modulo 11), is computed. This remainder plus

2106-478: The details of over one million ISBN prefixes and publishers in the Global Register of Publishers . This database is freely searchable over the internet. Publishers receive blocks of ISBNs, with larger blocks allotted to publishers expecting to need them; a small publisher may receive ISBNs of one or more digits for the registration group identifier, several digits for the registrant, and a single digit for

2160-509: The digits 0–9 to express the check digit. Additionally, if the sum of the 2nd, 4th, 6th, 8th, 10th, and 12th digits is tripled then added to the remaining digits (1st, 3rd, 5th, 7th, 9th, 11th, and 13th), the total will always be divisible by 10 (i.e., end in 0). Check digit A check digit is a form of redundancy check used for error detection on identification numbers, such as bank account numbers, which are used in an application where they will at least sometimes be input manually. It

2214-437: The end, as shown above (in which case s could hold a value as large as 496, for the invalid ISBN 99999-999-9-X), or s and t could be reduced by a conditional subtract after each addition. Appendix 1 of the International ISBN Agency's official user manual 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

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2268-440: The following: In choosing a system, a high probability of catching errors is traded off against implementation difficulty; simple check digit systems are easily understood and implemented by humans but do not catch as many errors as complex ones, which require sophisticated programs to implement. A desirable feature is that left-padding with zeros should not change the check digit. This allows variable length numbers to be used and

2322-498: The length to be changed. If there is a single check digit added to the original number, the system will not always capture multiple errors, such as two replacement errors (12 → 34) though, typically, double errors will be caught 90% of the time (both changes would need to change the output by offsetting amounts). A very simple check digit method would be to take the sum of all digits ( digital sum ) modulo 10. This would catch any single-digit error, as such an error would always change

2376-473: The letter 'l' (ell). This restriction helps when generating opaque strings that are unlikely to form words by accident and will not contain both O and 0, or l and 1. Having a prime radix of R=29, the betanumeric repertoire permits the algorithm to guarantee detection of single-character and transposition errors for strings less than R=29 characters in length (beyond which it provides a slightly weaker check). The algorithm generalizes to any character repertoire with

2430-502: The publication element. Once that block of ISBNs is used, the publisher may receive another block of ISBNs, with a different registrant element. Consequently, a publisher may have different allotted registrant elements. There also may be more than one registration group identifier used in a country. This might occur once all the registrant elements from a particular registration group have been allocated to publishers. By using variable block lengths, registration agencies are able to customise

2484-428: The publishing house and remain undetected, the book would be issued with an invalid ISBN. In contrast, it is possible for other types of error, such as two altered non-transposed digits, or three altered digits, to result in a valid ISBN (although it is still unlikely). Each of the first nine digits of the 10-digit ISBN—excluding the check digit itself—is multiplied by its (integer) weight, descending from 10 to 2, and

2538-475: The ranges will vary depending on the number of books and the number, type, and size of publishers that are active. Some ISBN registration agencies are based in national libraries or within ministries of culture and thus may receive direct funding from the government to support their services. In other cases, the ISBN registration service is provided by organisations such as bibliographic data providers that are not government funded. A full directory of ISBN agencies

2592-405: The same book must each have a different ISBN assigned to it. The ISBN is thirteen digits long if assigned on or after 1 January 2007, and ten digits long if assigned before 2007. An International Standard Book Number consists of four parts (if it is a 10-digit ISBN) or five parts (for a 13-digit ISBN). Section 5 of the International ISBN Agency's official user manual describes the structure of

2646-415: The sum of all the thirteen digits, each multiplied by its (integer) weight, alternating between 1 and 3, is a multiple of 10 . As ISBN-13 is a subset of EAN-13 , the algorithm for calculating the check digit is exactly the same for both. Formally, using modular arithmetic , this is rendered: The calculation of an ISBN-13 check digit begins with the first twelve digits of the 13-digit ISBN (thus excluding

2700-430: The sum of these nine products found. The value of the check digit is simply the one number between 0 and 10 which, when added to this sum, means the total is a multiple of 11. For example, the check digit for an ISBN-10 of 0-306-40615- ? is calculated as follows: Adding 2 to 130 gives a multiple of 11 (because 132 = 12×11)—this is the only number between 0 and 10 which does so. Therefore, the check digit has to be 2, and

2754-450: The sum, but does not catch any transposition errors (switching two digits) as re-ordering does not change the sum. A slightly more complex method is to take the weighted sum of the digits, modulo 10, with different weights for each number position. To illustrate this, for example if the weights for a four digit number were 5, 3, 2, 7 and the number to be coded was 4871, then one would take 5×4 + 3×8 + 2×7 + 7×1 = 65, i.e. 65 modulo 10, and

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2808-545: Was by far the biggest user of the ISBN identifier in 2020, followed by the Republic of Korea (329,582), Germany (284,000), China (263,066), the UK (188,553) and Indonesia (144,793). Lifetime ISBNs registered in the United States are over 39 million as of 2020. A separate ISBN is assigned to each edition and variation (except reprintings) of a publication. For example, an ebook, audiobook , paperback, and hardcover edition of

2862-604: Was devised in 1967, based upon the 9-digit Standard Book Numbering ( SBN ) created in 1966. The 10-digit ISBN format was developed by the International Organization for Standardization (ISO) and was published in 1970 as international standard ISO 2108 (any 9-digit SBN can be converted to a 10-digit ISBN by prefixing it with a zero). Privately published books sometimes appear without an ISBN. The International ISBN Agency sometimes assigns ISBNs to such books on its own initiative. A separate identifier code of

2916-484: Was required to be compatible with the EAN format, and hence could not contain the letter 'X'. According to the 2001 edition of the International ISBN Agency's official user manual, the ISBN-10 check digit (which is the last digit of the 10-digit ISBN) must range from 0 to 10 (the symbol 'X' is used for 10), and must be such that the sum of the ten digits, each multiplied by its (integer) weight, descending from 10 to 1,

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