Format from Problem 9.21

9.22 [D] Consider a 16-bit, floating-point number in a formatsimilar to that discussed in Problem 9.21, with a 6-bit exponent and a 9-bit mantissa fraction. The base of the scale factor is 2 and the exponent is represented in excess-31 format. (a) Add the numbers A and B, formatted as follows: A 0 100001 111111110 B 0 011 111 001010 101 Give the answer in normalized form. Remember thatan implicit 1 is to the left of the binary point but is not included in the A and B formats. Use rounding as the truncation method when producing the final mantissa. (b) Using decimal numbers w,x, y, and z, express the magnitude of the largest and smallest (nonzero) values representable in the preceding normalized floating-point format. Use the following form Largest w x Smallest y x 2