Question

WHAT ARE THE CODES USING MATLAB?

Specifications:

Comments:

Provide the following comments:

at the beginning of your program: Author, Date, Subject, Section and Program Description.

Kaprekar number

In mathematics, a Kaprekar number for a given base is a non-negative integer, the representation of whose square in that base can be split into two parts that add up to the original number again.

Example, 45 is a Kaprekar number, because 45² = 2025 and 20+25 = 45.

Create a MATLAB program that will generate the Kaprekar numbers.

Input Validation: A negative value or value exceeding 999 must be validated.

Display an error message for invalid input.

           

Sample Output:

Input a number: 45

45 is a KAPREKAR Number.

Problem Statement Specifications: Comments: Provide the following comments: at the beginning of your program: Author, Date, Subject, Section and Program Description. Kaprekar number In mathematics, a Kaprekar number for a given base is a non-negative integer, the representation of whose square in that base can be split into two parts that add up to the original number again. Example, 45 is a Kaprekar number, because 452 = 2025 and 20+25 = 45. Create a MATLAB program that will generate the Kaprekar numbers. Input Validation: A negative value or value exceeding 999 must be validated. Display an error message for invalid input. Sample Output: Input a number: 45 45 is a KAPREKAR Number.

Answer 1

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1. 2. mi 4. % Author, Date, Subject, Section % % Kaprekar number % In mathematics, a kaprekar number for a given base is a non-negative integer, % the representation of whose square in that base can be split into two parts % that add up to the original number again. % Example, 45 is a kaprekar number, because 452 = 2025 and 20+25 = 45. 5. 6. 7. 8. 9. %Below is a MATLAB program that check whether the given number is the Kaprekar number s 10. %or not. 11. 12. number=input("Input a number: "); 13. if number>=0 && number <=999 14. sq=number*number; 15. pw=1; 16. while true 17. n1-mod(sq, 10^pw); 18. n2-round(sq/10^pw); 19. if n2==0 20. printf("%d is not a KAPREKAR Number. \n", number); 21. break; 22. endir 23. if n1+n2== number 24. printf("%d is a KAPREKAR Number.\n", number); 25. break; 26. endif 27. pw=pw+1; 28. endwhile 29. else printf("Invalid input, %d is not in range[0,999]. \n", number); 31. endif 32. 30.

% Author, Date, Subject, Section % % Kaprekar number % In mathematics, a Kaprekar number for a given base is a non-negative integer, % the representation of whose square in that base can be split into two parts % that add up to the original number again. % Example, 45 is a Kaprekar number, because 45² = 2025 and 20+25 = 45. % %Below is a MATLAB program that check whether the given number is the Kaprekar numbers %or not. number=input("Input a number: "); if number>=0 && number <=999 sq=number*number; pw=1; while true n1=mod(sq,10^pw); n2=round(sq/10^pw); if n2==0 printf("%d is not a KAPREKAR Number.\n",number); break; endif if n1+n2== number printf("%d is a KAPREKAR Number.\n",number); break; endif pw=pw+1; endwhile else printf("Invalid input,%d is not in range[0,999].\n",number); endif

>> main Input a number: 45 45 is a KAPREKAR Number. >> main Input a number: 9 9 is a KAPREKAR Number. >> main Input a number: 4 4 is not a KAPREKAR Number. >> main Input a number: 100 100 is a KAPREKAR Number.