Course Solutions Uncategorized (Solved) : 2 Consider Normalized Floating Point System R3 3 1 Exponent Range 1 E 1 Base 10 B Largest Q31985963 . . . .

(Solved) : 2 Consider Normalized Floating Point System R3 3 1 Exponent Range 1 E 1 Base 10 B Largest Q31985963 . . . .

 

2. Consider the normalized floating-point system R3 (3, 1) with exponent range -1 e< 1 and base-10. (b) What is the largest positive number representable? Give your answer in both base-3 and base-10. (c) Assuming round-to-nearest, what is the tightest upper bound on the relative error lfl(x) -x|/r (d) Assuming round-to-nearest, what is the exact relative error in the floating-point representation (e) Assuming round-to-nearest, what is the exact absolute error lfl(x) - r in the floating-point (f) On the base-10 real axis, plot all of the numbers that can be expressed exactly (i.e., with no when r ER is 

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