Answer to Question #1629 in Quantitative Methods for eslam Ayoub

Question

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

Answer 1

a) (1+(2^-51+2^-52+2^-54))-1 = 7.22x10^-16
b) (1+(2^-51+2^-52+2^-60))-1 = 6.67x10^-16