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}

b) (1+(2

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