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GTIN Calculator 14 Digit

GTIN-14 Check Digit Calculation:

\[ check\_digit = (10 - (sum \times 3) \mod 10) \mod 10 \]

(13 digits)

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1. What is GTIN-14?

GTIN-14 (Global Trade Item Number) is a 14-digit identifier used for trade items at various packaging levels. It's part of the GS1 system for product identification and includes a check digit for validation.

2. How Check Digit Calculation Works

The check digit is calculated using a modulo-10 algorithm:

\[ check\_digit = (10 - (sum \times 3) \mod 10) \mod 10 \]

Calculation Steps:

  1. Start with the first 13 digits
  2. Multiply every odd-positioned digit by 3 (positions 1, 3, 5, etc. in 1-based counting)
  3. Sum all the digits (original even positions and multiplied odd positions)
  4. Find the smallest number that when added to the sum makes a multiple of 10
  5. This number is the check digit (0 if sum is already multiple of 10)

3. Importance of Check Digits

Purpose: Check digits help detect errors in GTIN numbers that might occur during manual entry or scanning. They validate that the number follows the correct format and wasn't mistyped.

4. Using the Calculator

Instructions: Enter the first 13 digits of your GTIN-14 number. The calculator will compute the check digit and display the complete 14-digit GTIN.

5. Frequently Asked Questions (FAQ)

Q1: Is this the same calculation used for other GTIN formats?
A: Yes, the same modulo-10 algorithm is used for GTIN-8, GTIN-12 (UPC), GTIN-13 (EAN-13), and GTIN-14.

Q2: What's the difference between GTIN-14 and other GTINs?
A: GTIN-14 is used for cases requiring an indicator digit (like different packaging levels), while shorter GTINs are for individual products.

Q3: Can this calculator validate existing GTINs?
A: Yes, you can enter the first 13 digits of a complete GTIN to verify if the last digit matches the calculated check digit.

Q4: Why does the algorithm multiply by 3?
A: Multiplying alternating digits by 3 helps detect common transcription errors like transposed digits.

Q5: Are there other check digit algorithms?
A: Yes, different systems use different algorithms (like Luhn for credit cards), but GTIN uses this specific modulo-10 algorithm.

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