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\title{Basics of Information Systems}
\author{Winter Semester 2022--23}
\date{For discussion on Wednesday, November 9, 2022}
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\begin{enumerate}
\item Show that the two's complement of the two's complement of a bit
pattern returns the original bit pattern.

\item Convert the following rational numbers into binary:
\begin{enumerate}
\item $1.5$
\item $0.40625$
\item $7.1875$
\end{enumerate}

\item Compute the fractional binary representation of the decimal
fraction $0.1$.

\emph{Note:} You will find that $0.1$ does not have a terminating
fractional binary representation.  Nonetheless, as a rational, its
binary representation is eventually periodic.
\end{enumerate}
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