ITPEC FE Morning April 2019 Question 24

Source exam: ITPEC FE Morning April 2019Topic: Computer Systems & Hardware

ITPEC FE Morning April 2019 — Question 24 of 80

Check Digit Calculation — compute and append a check digit using weighted sum modulo a base.

Given data 7394, weight 1234, base 11:

Step 1 — Weighted sum:
- 7×1 + 3×2 + 9×3 + 4×4 = 7 + 6 + 27 + 16 = 56

Step 2 — Remainder:
- 56 mod 11 = 1

Step 3 — Check digit:
- 11 - 1 = 10 → take one's place → 0

Result: 7394 + 0 = 73940

Why not others:
- (b) 73941 — would require remainder = 10

- (c) 73944 — does not match the calculation

- (d) 73947 — does not match the calculation

Key rule: After subtracting the remainder from the base, always take only the one's place of the result as the check digit (e.g., 100).

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