Apply the numeric hybrid system.
Initialising algorithm engine for ISO 7064 MOD 11,10 Calculator...
How ISO 7064 MOD 11,10 Calculator Works?
The ISO 7064 MOD 11,10 Calculator works by alternating a modulo 10 step and a doubling modulo 11 step for each digit, then choosing the digit that brings the final value to 1. MOD 11,10 is a hybrid system, so the check is always a digit 0–9 and never X.
- 1Set p = 10.
- 2Add the next digit to p and reduce modulo 10; replace a result of 0 with 10.
- 3Multiply that value by 2 and reduce modulo 11 to get the new p.
- 4Repeat for every digit from left to right.
- 5Compute the check digit as (11 − p) mod 10.
ISO 7064 MOD 11,10 Calculator Formula
The ISO 7064 MOD 11,10 formula is c = (11 − p) mod 10, where p comes from the hybrid recurrence.
p₀ = 10 sᵢ = (pᵢ₋₁ + aᵢ) mod 10, sᵢ = 0 → 10 pᵢ = (2 × sᵢ) mod 11 c = (11 − pₙ) mod 10
sᵢis the intermediate value 1–10.pᵢis the running value 0–10.
0 (0): (10 + 0) mod 10 = 10; 10 × 2 mod 11 = 9 7 (7): (9 + 7) mod 10 = 6; 6 × 2 mod 11 = 1 9 (9): (1 + 9) mod 10 = 10; 10 × 2 mod 11 = 9 4 (4): (9 + 4) mod 10 = 3; 3 × 2 mod 11 = 6 Check value = (10 + 1 − 6) mod 10 = 5 → 5 Complete string = 07945
ISO 7064 MOD 11,10 Calculator Conversion Table
The ISO 7064 MOD 11,10 conversion table lists sample numeric payloads with their hybrid check digits.
| Sample payload | Length | Check digit | Complete string |
|---|---|---|---|
| 0794 | 4 | 5 | 07945 |
| 1234567890 | 10 | 3 | 12345678903 |
| 12345678 | 8 | 8 | 123456788 |
| 00000000 | 8 | 3 | 000000003 |
| 99999999 | 8 | 5 | 999999995 |
| 40123455 | 8 | 6 | 401234556 |
| 27011958 | 8 | 9 | 270119589 |
What is ISO 7064 MOD 11,10 Calculator?
An ISO 7064 MOD 11,10 Calculator is a tool that computes a single decimal check digit with the ISO/IEC 7064 hybrid system for numbers. The hybrid design avoids the extra X character of MOD 11-2.
German tax identification numbers (Steuer-IdNr), Croatian personal identification numbers (OIB), and ISO-based product serial schemes use MOD 11,10.
What are the uses of ISO 7064 MOD 11,10 Calculator?
There are 3 main uses of the ISO 7064 MOD 11,10 Calculator, including German tax IDs, Croatian OIB numbers, and digit-only serials.
- German tax identification numbers: Payroll systems check the 11th digit of the Steuer-IdNr.
- Croatian OIB numbers: Registration forms validate the 11-digit personal identifier.
- Digit-only serial numbers: Manufacturers keep check digits numeric while gaining strong error detection.