= (i) Let x = In(2) and y -0.6931457. Using 5-decimal digit rounding and normalized floating-point...

 

  

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= (i) Let x = In(2) and y -0.6931457. Using 5-decimal digit rounding and normalized floating-point representation, compute the sum of xy, where denotes computer arith- metic addition with 6-decimal digit rounding. (ii) What is the relative error of xy in approximating (x+y) assuming that the actual value of (ln(2) + (-0.6931457)) is 0.1480559 10-5? (iii) How many significant digits are lossed in this computer arithmetic procedure in (i) and what numerical phenomenom has occurred? = (i) Let x = In(2) and y -0.6931457. Using 5-decimal digit rounding and normalized floating-point representation, compute the sum of xy, where denotes computer arith- metic addition with 6-decimal digit rounding. (ii) What is the relative error of xy in approximating (x+y) assuming that the actual value of (ln(2) + (-0.6931457)) is 0.1480559 10-5? (iii) How many significant digits are lossed in this computer arithmetic procedure in (i) and what numerical phenomenom has occurred?

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Lets address each part of the question step by step i We are given two numbers x ln2 and y 06931457 ... View the full answer