Answer by Ross Millikan for Numer of binary digits of a power of ten (from...
Maybe you know that $\log_{10}2 \approx 0.30103$. We have $\log_2{10}=\frac 1{\log_{10}2}\approx \frac 1{0.30103}$. Doing the inversion is just a long division, which is quite possible without a...
View ArticleNumer of binary digits of a power of ten (from Weissman's “An Illustrated...
I have been working through the following exercise (chapter $0$, number $17$, in Weissman's An Illustrated Theory of Numbers):How many bits does the binary expansion of $10^{500}$ have?I know the...
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