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Chapter 2 · Information Processing SystemPractice
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CONCEPT PRACTICE

Code checking and check digits

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2026 Spring · Subject A · Q18

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For a given decimal data, the check digit is calculated using the method below and appended to the original data. When the given data is 7394, what is the result? Here, the weight is 1234 and the base number is 11. (1) For each digit of the data, calculate the product with the digit at the same digit position of the weight and sum these products. (2) Calculate the remainder after dividing the total sum by the base number. (3) Subtract the remainder from the base number and let the last digit of the result be the check digit.

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Source: 2026S_FE-A_Questions.pdf, PDF page 9. ID: 2026S-A-Q018. Explanation written for this textbook.

Original question · Q18
For a given decimal data, the check digit is calculated using the method below and appended to the original data. When the given data is 7394, what is the result? Here, the weight is 1234 and the base number is 11. (1) For each digit of the data, calculate the product with the digit at the same digit position of the weight and sum these products. (2) Calculate the remainder after dividing the total sum by the base number. (3) Subtract the remainder from the base number and let the last digit of the result be the check digit.

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