Interview Question for Financial Software Developer at Bloomberg L.P.:

The way I did it was (for your example of 5467) essentially 5000 + 400 + 60 + 7. It's the first solution that came to mind and since that hour long portion of the interview seemed to be winding down, I just went with it. Not a pretty solution, but it does get the right answer.

For your solution, I understand what you're doing but I think your description of it is a bit off, or at least confusing. The you don't multiply by the index of the character at any time. What you're doing is just multiplying the sum to that point by 10 before adding the next character... i.e. in pseudo code,

sum = 0;
n = (length of the string of characters);
for(i==0; i < n; i++) {
sum *= 10;
sum+= (converted integer value of the character at index i);
}

So the first time through the loop when the index is zero, the initial sum multiplied by 10 is still zero, so you add 5 and get the running sum to be 5. Iteration 2, 5*10 = 50, add the next integer and you get 54, and so on. And that is a far more elegant solution, definitely. Thanks for pointing it out!