Floating-Point Integers Let S be the set of 32-bit IEEE floating-point values that are integers. (S contains both +0 and 0.) Answer the following questions about S. Express all your answers exactly, i.e., by using powers of 2.

(a) How many elements are in S?

(b) Whats the largest odd value of S?

(c)How many consecutive integers are in S? You shouldnt count both +0 and 0 in your total.

(e) The number 264 is in S. What are its nearest neighbours? In other words, what two values in S are closest to 264?

(f) Determine the number of values in S which are representable using 32-bit unsigned.

(g) Let x = 2127 and let y be an integer in S. Whats the smallest value of y that will satisfy x + y = +?