\begin{questions}
\item $\begin{aligned}[t]
\dfrac{75}{16} & =\dfrac{64}{16}+\dfrac{8}{16}+\dfrac{2}{16}+\dfrac{1}{16}\\
& =4+\dfrac{1}{2}+\dfrac{1}{8}+\dfrac{1}{16}\\
&=1\times2^2 + 0\times2^1 + 0\times2^0 + 1\times2^{-1}+0\times2^{-2}+1\times2^{-3}+1\times2^{-4}.
\end{aligned}$

Donc $\dfrac{75}{16}=\base{100,1011}{2}$.

\item $\begin{aligned}[t]
\dfrac{101}{8}&=\dfrac{64}{8}+\dfrac{32}{8}+\dfrac{4}{8}+\dfrac{1}{8}\\
&=8+4+\dfrac{1}{2}+\dfrac{1}{8}.
\end{aligned}$

Donc $\dfrac{101}{8}=\base{1100,101}{2}$.

\item $\begin{aligned}[t]
\dfrac{59}{4}&=\dfrac{32}{4}+\dfrac{16}{4}+\dfrac{8}{4}+\dfrac{2}{4}+\dfrac{1}{4}\\
&=8+4+2+\dfrac{1}{2}+\dfrac{1}{4}
\end{aligned}$

Donc $\dfrac{59}{4}=\base{1110,11}{2}$.

\item $\dfrac{61}{2}=30+\dfrac{1}{2}=16+8+4+2+\dfrac{1}{2}$.

Donc $\dfrac{61}{2}=\base{11110,1}{2}$.
\end{questions}
