A company selling CDs uses a unique 6-digit identification number for each CD title. The right-most digit (position 1) is a check digit.
For example,
6 |
5 |
4 |
3 |
2 |
1 |
← |
digit position |
3 |
0 |
6 |
1 |
4 |
9 |
← |
identification number |
|
|
|
|
|
↑ |
|
|
|
|
|
|
|
check digit |
|
The validity of the number and check digit is calculated as follows:
multiply each digit by its digit position
add up the results of the multiplications
divide the answer by 11
if the remainder is 0, the identification number and check digit are valid.
a)
Show whether the following identification numbers are valid or not. You must show how you arrived at your answer.
Identification number 1: 4 2 1 9 2 3
working: ..........................................................
valid or not valid? .........................................
Identification number 2: 8 2 0 1 5 6
working: ..........................................................
valid or not valid? .........................................
[3]