Computer Science Illuminated
Computer Science Illuminated
7th Edition
ISBN: 9781284155617
Author: Nell Dale, John Lewis
Publisher: Jones & Bartlett Learning
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Chapter 18, Problem 39E

a.

Program Plan Intro

Check digit:

  • The individual digits in the number are added together and the unit digit of the result is called check digit and it is used for error detection.
  • The check digit is stored with the number.
  • For example,
    • Consider the number 3422.
    • Count the numbers from left to right, it produces the sum of the digits as 11 (3+4+2+2), so the number would be stored as 3422-1. Because 1 is the unit’s digit in the result 11.
    • Hence, “1” is the check digit of the number “3422”.

b.

Explanation of Solution

Check digit for “1498” numbers:

The check digit for the number 1498 can be determined by the following steps:

  • Step 1: Count the given number from left to right.

c.

Explanation of Solution

Check digit for “1668” numbers:

The check digit of the number 1668 can be determined by the following steps:

  • Step 1: Count the given number from left to right.

d.

Explanation of Solution

Check digit for “2001” numbers:

The check digit for the number 2001 can be determined by the following steps:

  • Step 1: Count the given number from left to right.

e.

Explanation of Solution

Check digit for “4040” numbers:

The check digit for the number 4040 can be determined by the following steps:

  • Step 1: Count the given number from left to right.

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