Representation of a number on a computer (30 pts) 1. Suppose a new standard, the IDDD-643 standard, is developed for storing numbers in a string of 16 bits. The first bit is used for the sign of the number (0 if positive and 1 if negative). The next six bits store the exponent plus the bias, and the remaining 9 bits store the mantissa. The bias is 31 and no bits are reserved for any special purposes. (a) What is the smallest number that can be stored (15 pts) (b) What is the largest number that can be stored (15 pts)