Question: Where XY = 98 Problem 2 [35 points] Please answer the following questions (show all your work): a) Show the IEEE 754 binary representation for
Where XY = 98
Problem 2 [35 points] Please answer the following questions (show all your work): a) Show the IEEE 754 binary representation for the floating-point number - 11XY.75 in single precision. Where XY are the least significant digits in your WSU ID. 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 2-6 211 210 29 28 2048 1024 512 256 27 26 25 24 23 22 21 20 21 22 23 128 64 32 16 8 4 2 1 0.5 0.25 0.125 24 0.0625 25 0.03125 0.015625 b) What is this single precision floating point number using IEEE 754 encoding in decimal notation? 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 1 1 1 1 1 1 1 1 OOOOOOOOOOOOO 0 0 0 0 0 0 0 0 0 0 0 211 2-4 25 2-6 210 29 28 27 26 25 24 23 22 21 20 2-1 1024 512 256 128 64 32 16 8 2 1 0.5 2-2 0.25 2-3 0.125 2048 4 0.0625 0.03125 0.015625
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