Problem 2 (14 points. Suggested time: 10 mins) and 1 in binary normalized Part a (6 points): Express the two floating point numbers 2 form (3 points) 21 in binary normalized form is: (3 points) in binary normalized form is: Part b (4 points): As you know IEEE floating point standard has a 32-bit representation and a 64-bit representation. (2 points) What is the bias used in the 32-bit representation? (a points) What is the minimum gap between two representable subnormal numbers in the 32-bit representation? Part e (4 points): In this problem, we assume that IEEE decided to add a new 10-bit representation, with its main characteristics consistent with the other two representations. In this 10-bit representation, the value 33/256 is represented exactly as ooo1100001. Your job: decide the number of bits needed for the exponent and for the fraction. (2 points) Number of bits needed for exponent: (a points) Number of bits needed for fraction