Consider a 16-bit, floating-point number in a format similar to that discussed in Prob- lem 6.25, with a 6-bit exponent and a 9-bit normalized fractional mantissa. 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:

Give the answer in normalized form. Remember that an implicit 1 is to the left of the binary point but is not included in the A and B formats. Use rounding when producing the final normalized 9-bit 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:LO1

A=0 100001 111111110 B=0 011111 001010101