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\title{Foundations of Information Systems}
\author{Winter Semester 2023--24, Exercise 3}
\date{For discussion on Wednesday, November 8, 2023}
\maketitle


\begin{enumerate}
\item Convert the following decimal numbers into binary.  Note that
the resulting binary representation may not terminate and become periodic.
\begin{enumerate}
\item $(9.5)_{10}$
\item $(\frac{44}7)_{10}$
\end{enumerate}

\item Convert from binary to decimal.
\begin{enumerate}
\item $(1101.0111)_2$
\item $(0.0\overline{1001})_2$
\end{enumerate}

\item Convert from decimal to hexadecimal (a) or back (b).
\begin{enumerate}
\item $(39.75)_{10}$
\item $(F.42)_{16}$
\end{enumerate}

\end{enumerate}
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