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Problem 4 (i) Let x = In(2) and y = -0.6931457. Using 5-decimal digit rounding and normalized floating-point representation, compute the sum of x @y,

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Problem 4 (i) Let x = In(2) and y = -0.6931457. Using 5-decimal digit rounding and normalized floating-point representation, compute the sum of x @y, where e denotes computer arith- metic addition with 6-decimal digit rounding. (ii) What is the relative error of x @y in approximating (x+y) assuming that the actual value of (ln(2)+(-0.6931457)) is 0.1480559 x 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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