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Consider the normalized floating point system 2 4-3 5 a

Consider the normalized floating point system (2; 4,-3; 5).

(a) What are the largest and smallest positive numbers?

(b) What is the rounding machine precision?

(c) Compute the floating point representation fl(x) of the following decimal numbers x for our floating point system, using chopping when necessary.

i. 5.326

ii. 22

iii. e = 2.15678938482 ...

(d) Estimate the error |fl(4.2) - 4.2| by rounding.

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Basic Computer Science: Consider the normalized floating point system 2 4-3 5 a

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