Answered step by step
Verified Expert Solution
Question
1 Approved Answer
EEE 754-2008 contains a half precision that is only 16 bits wide. The left most bit is still the sign bit, the exponent is 5
EEE 754-2008 contains a half precision that is only 16 bits wide. The left most bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the mantissa is 10 bits long. A hidden 1 is assumed Part a) Calculate (3.41796875 x103 x 6.34765625 x103) x 1.05625 x102 by hand, assuming each of the values are stored in the 16-bit half precision format described above. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal Part b) Calculate 3.41796875 x103 x (6.34765625 x103 x 1.05625 x10) by hand, assuming each of the values are stored in the 16-bit half precision format described above. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal. Part c) Does the answer in a) is equivalent to the answer in b)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started