Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
Using Java create a program that allows the user to enter a credit card number
Output should look like:
Enter credit card number as a long integer:
Card number is valid:card number is invalid
![### Credit Card Validation Process and Program
This section explains a step-by-step process to validate a credit card number using the Luhn algorithm, along with a sample program to implement the validation.
#### Validation Steps:
1. **Double Every Second Digit from Right to Left**
Start from the second rightmost digit and double every second digit.
For example, in the sequence 4 4 8 8 2 3 3 1 1 7 8 8, double every second digit:
\[
8 \quad 8 \quad 16 \quad 6 \quad 2 \quad 6 \quad 8
\]
2. **Add All Single-Digit Numbers from Step 1**
If a result from doubling is a two-digit number, add the digits.
For example:
\[
4 + 4 + 8 + 2 + 3 + 1 + 1 + 7 + 8 = 37
\]
3. **Add All Digits in the Odd Places from Right to Left**
Sum all the digits that occupy odd positions:
\[
6 + 6 + 0 + 8 + 0 + 7 + 8 + 3 = 38
\]
4. **Sum the Results from Steps 2 and 3**
Add the results of the above calculations:
\[
37 + 38 = 75
\]
5. **Check the Result from Step 4**
If the result from Step 4 is divisible by 10, the card number is considered valid; otherwise, it is invalid.
- Example of invalid number: `4388576018402626`
- Example of valid number: `4388576018410707`
#### Program Implementation
Create a program that processes a credit card number as a `long` integer, and determine if it is valid or invalid using the following essential methods:
- **isValid(long number):**
Returns `true` if the card number is valid.
- **sumOfDoubleEvenPlace(long number):**
Calculates and returns the result of Step 2.
- **getDigit(int number):**
Returns a single-digit number if it is already single-digit; sums the two digits otherwise.
- **sumOfOddPlace(long number):**](https://content.bartleby.com/qna-images/question/e73c8c7e-1fd5-4385-96bf-6506c467a37a/268302ba-e005-4284-b2d5-e9d4dcf66e3d/1i8ds3_processed.jpeg)
Transcribed Image Text:### Credit Card Validation Process and Program
This section explains a step-by-step process to validate a credit card number using the Luhn algorithm, along with a sample program to implement the validation.
#### Validation Steps:
1. **Double Every Second Digit from Right to Left**
Start from the second rightmost digit and double every second digit.
For example, in the sequence 4 4 8 8 2 3 3 1 1 7 8 8, double every second digit:
\[
8 \quad 8 \quad 16 \quad 6 \quad 2 \quad 6 \quad 8
\]
2. **Add All Single-Digit Numbers from Step 1**
If a result from doubling is a two-digit number, add the digits.
For example:
\[
4 + 4 + 8 + 2 + 3 + 1 + 1 + 7 + 8 = 37
\]
3. **Add All Digits in the Odd Places from Right to Left**
Sum all the digits that occupy odd positions:
\[
6 + 6 + 0 + 8 + 0 + 7 + 8 + 3 = 38
\]
4. **Sum the Results from Steps 2 and 3**
Add the results of the above calculations:
\[
37 + 38 = 75
\]
5. **Check the Result from Step 4**
If the result from Step 4 is divisible by 10, the card number is considered valid; otherwise, it is invalid.
- Example of invalid number: `4388576018402626`
- Example of valid number: `4388576018410707`
#### Program Implementation
Create a program that processes a credit card number as a `long` integer, and determine if it is valid or invalid using the following essential methods:
- **isValid(long number):**
Returns `true` if the card number is valid.
- **sumOfDoubleEvenPlace(long number):**
Calculates and returns the result of Step 2.
- **getDigit(int number):**
Returns a single-digit number if it is already single-digit; sums the two digits otherwise.
- **sumOfOddPlace(long number):**
Transcribed Image Text:**Credit Card Number Validation**
Credit card numbers follow certain patterns. A credit card number must have between 13 and 16 digits. It must start with:
- 4 for Visa cards
- 5 for Master cards
- 37 for American Express cards
- 6 for Discover cards
In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustration, consider the card number 4388576018402626):
1. Double every second digit from right to left. If doubling a digit results in a two-digit number, add up the two digits to get a single-digit number.
- The card number sequence is: 4388576018402626
Doubling Steps:
- 2 * 2 = 4
- 2 * 2 = 4
- 4 * 2 = 8
- 1 * 2 = 2
- 6 * 2 = 12 (1 + 2 = 3)
- 5 * 2 = 10 (1 + 0 = 1)
- 8 * 2 = 16 (1 + 6 = 7)
- 4 * 2 = 8
This process helps ensure accuracy in credit card transactions by verifying the card number's validity.
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