Understanding the Bar Code Structure

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The barcode represents a 14-digit number having the following structure
Digit: 1 2345 6 7 8 9 10 11 12 13 14
Meaning: Item Type Institution Number Item or Patron Identification Number Check Digit
Item Type: Distinguishes materials (value = 3) form patron (value = 2)
Institution Number: A four-digit number representing the library (institution) whose barcodes this is.
Item or Patron Identification Number:This is a sequentially-assigned, 8-digit number representing the items in the library’s collection. Beginning numbering with 00000001.
Check Digit: This is a modulus-10, type-1 check digit, calculated as follows, using the values of digit 1-13:
    1. Multiply the value in each odd-numbered position by 2
    2. If the product is a 2-digit number, add the two digits together. In any case, add the result to a running total
    3. Add the value in each even-numbered position to the running total
    4. Divide the final total by 10
    5. Subtract the remainder from 10
    6. Divide the results by 10
    7. The remainder (not dividend) is the check digit
For example: Position: 1 2 3 4 5 6 7 8 9 10 11 12 13 14
  Value: 3 0 2 3 4 0 0 0 5 1 7 8 6 ?
    1. 3 x 2, 2 x 2, 4 x 2, 0 x 2, 5 x 2, 7 x 2, 6 x 2
    2. 6 + 4 + 8 + 0 + 1 + 5 + 3 =27
    3. 27 + 0, 27 + 3; 30 + 0; 30 + 0; 30 + 1; 31 + 8 = 39
    4. 39 / 10 = 3 with remainder 9
    5. 10 – 9 = 1
    6. 1 / 10 = 0 with remainder 1
    7. complete the barcoded number by adding the check digit, 1, in the 14 position, thus yielding the complete number:
 
  Funded by the New Jersey State Library,
Library Services & Technology Act (LSTA),
and the Regional Library Cooperatives
.
 
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