Chapter 0.3, Problem 5E

Do the following sums by hand in IEEE double precision computer arithmetic, using the Rounding to Nearest Rule. (Check your answers, using MATLAB.)

$\begin{array}{l}\text{a}\text{. }\left(1+\left(2^{-51}+2^{-53}\right)\right)-1\\ \text{b}\text{. }\left(1+\left(2^{-51}+2^{-52}+2^{-53}\right)\right)-1\end{array}$