Question: 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

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)

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