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Question

Let n = akak-1ak-2…a1a0 be an integer. Let t = a0-a1+a2-…+(-1)kak. It is known that n is divisible by 11 if and only if t is divisible by 11. For example, suppose that n = 8784204. Then, t = 4 – 0 + 2 – 4 + 8 – 7 + 8 = 11. Because 11 is divisible by 11, it follows that 8784204 is divisible by 11. If n = 54063297, then

t = 7 – 9 + 2 – 3 + 6 – 0 + 4 – 5 = 2. Because 2 is not divisible by 11, 54063297 is not divisible by 11.

Write a program that prompts the user to enter the positive integer and then use this criterion to determine whether the number is divisible by 11.

Answer 1

private boolean IsDivisibleByEleven(intnumber)

        {

            char[] digits = number.toString().ToCharArray();

            int total = Integer.parseInt(digits[digits.Length-1]...

            for (int i = digits.length - 2; i >=0; i--)

            {

                if (i % 2 == 0)

                {

                    total += Integer.parseInt(digits[i].toString());

                }

                else

                {

                    total -= Integer.parseInt((digits[i].toString());

                }

            }

            return total % 11 == 0;

        }