To convert an ISBN from the 10-digit form to the EAN 13-digit form, you must add a three...

To convert an ISBN from the 10-digit form to the EAN 13-digit form, you must add a three-digit prefix. In retail, a bar code is placed on all items. The code for “books” is 978, so every 10-digit ISBN will have the number 978 added at the beginning when the bar code is created. In the future, another combination of three digits, 979, will also be used to represent books and will further expand the capacity of the system. The check digit will then be recalculated to include the new first three digits. A 10-digit ISBN can be converted to a 13-digit EAN in the following way.

Step 1: Add the digits 978 at the beginning of the ISBN and remove the check digit.

Step 2: Calculate the weighted sum as 3(sum of digits in the even positions) + 1(sum of digits in the odd positions).

Step 3: Determine the new check digit as the number you would need to add to the weighted sum to make it divisible by 10.

Use the process described above to convert each of the following 10-digit ISBNs to a 13-digit EAN.

a. 0-07-037393-0

b. 0-553-27429-5

c. 0-590-45235-5