Problem 15

$2^{15} = 32768$ and the sum of its digits is $3 + 2 + 7 + 6 + 8 = 26$.

What is the sum of the digits of the number $2^{1000}$?

I had to write minimal code after adding a sumDigits method to my BigInt class. Since my class does not have a multiplication function yet I just did slow addition multiplication inline.

BigInt P15 (int target)
{
        BigInt two = 2;
        int n = 2;

        while (n <= target)
        {
                two += two;
                n++;
        }

        return two.sumDigits();
}

BigInt BigInt::sumDigits()
{
        BigInt sum = 0;

        for (int i = 0; i < this->length; i++)
                sum += (this->number[i] - '0');

        return sum;
}