Essentials Of Computer Organization And Architecture 4th Edition by Linda Null,Julia Lobur

Exercise 78

Assume we are using the simple model for floating-point representation as given in the text (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number):
a) Show how the computer would represent the numbers 100.0 and 0.25 using this floating-point format.
b) Show how the computer would add the two floating-point numbers in part a by changing one of the numbers so they are both expressed using the same power of 2.
c) Show how the computer would represent the sum in part b using the given floating- point representation. What decimal value for the sum is the computer actually storing Explain.