Assume we are using the simple model for floating-pointrepresentation as given in the text (the representation uses a 14-bitformat, 5 bits for the exponent with a bias of 15, a normalizedmantissa of 8 bits, and a single sign bit for the number):1. a) Show how the computer would represent the numbers100.0 and 0.25 using this floating-point format.2. b) Show how the computer would add the two floating-pointnumbers in Part a by changing one of the numbers so theyare both expressed using the same power of 2. c) Show how the computer would represent the sum in Partb using the given floating-point representation. Whatdecimal value for the sum is the computer actually storing?Explain.
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):
1. a) Show how the computer would represent the numbers
100.0 and 0.25 using this floating-point format.
2. 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.
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