Problem 1: One idea for representing numbers that have a whole and fractional part is a fixed-point representation. For example, using 16 bits: the most significant bit represents the sign, the next 8 bits represent the whole number, and the least significant 7 bits represent the fractional part. Identify a problem with this fixed-point representation and discuss how the floating-point representation that is used in modern computers addresses this problem. Providing one or more specific examples is an excellent way to explain your answer.