Your first task will be to come up with an appropriate data structure for representing numbers of arbitrary potential length in base 215. You will have to deal with large negative numbers also1. (Any negative number is to be stored in such a way that the most significant digit is a -1, but all lower order digits are positive. Note that you will need to make sure that you don't have a multi-digit number with 0 as the high order digit. Also, you are required to make sure that the top two high order digits of any number store are not -1,32767. If you have trouble figuring out why, come see me...) You need to write a function that takes a given file that contains a number in base 10, reads it in, and stores it in your data structure in base 215.