11-2

Q2. Assume we are using the simple model for floating-point representation as given in this book (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 floatingpoint 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 floatingpoint representation. What decimal value for the sum is the computer actually storing? Explain