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Answer to Question #1629 in Quantitative Methods for eslam Ayoub

Question #1629
Do the following sums by hand in IEEE double precision computer arithmetic, using the rounding to nearest rule: a) (1+(2^-51+2^-52+2^-54))-1, b) (1+(2^-51+2^-52+2^-60))-1
Expert's answer
a) (1+(2-51+2-52+2-54))-1 = 7.22x10-16
b) (1+(2-51+2-52+2-60))-1 = 6.67x10-16

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