Question
Find dyadic approximations, with error at most $2^{-8}$, to(a) $\frac{3}{4}$,(b) $\frac{1}{3}$,(c) $\sqrt{2}$,(d) $e$,(e) $\pi$.
Step 1
A dyadic fraction is a fraction of the form $\frac{p}{2^q}$ where $p$ is an integer and $q$ is a non-negative integer. The error of approximation is the absolute difference between the number we want to approximate and the dyadic fraction. We need to find dyadic Show more…
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