Solved: "To determine:The check digit of an ISSN that..."

glasskerfu

Answered question

2021-04-25

To determine:The check digit of an ISSN that has these initial 7 digits 1553-734

Answer & Explanation

Yusuf Keller

Skilled2021-04-27Added 90 answers

Formula used:
An ISSN consists of two blocks of four digits. The last digit in the second block is a check digit. This check digit is determined by the congruence

d_{8} \equiv 3 d_{1}, + 4 d_{2} + 5 d_{3} + 6 d_{4} + 7 d_{5} + 8 d_{6} + 9 d_{7} \pm o d {11}

When

d_{8} \equiv 10 \pm o d {11}

, we use the letter X to represent dg in the code.
Insert the digits of 1553 — 734 into the congruence

d_{8} \equiv 3 d_{1}, + 4 d_{2} + 5 d_{3} + 6 d_{4} + 7 d_{5} + 8 d_{6} + 9 d_{7} \pm o d {11}

.
This gives,

d_{8} \equiv 3 \cdot 1 + 4 \cdot 5 + 5 \cdot 5 + 6 \cdot 3 + 7 \cdot 7 + 8 \cdot 3 + 9 \cdot 4 \pm o d {11}

d_{8} \equiv 3 + 20 + 25 + 18 + 49 + 24 + 36 \pm o d {11}

d_{8} \equiv 175 \pm o d {11}

d_{8} \equiv 10 \pm o d {11}

Hence, the check digit is X.

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