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\title{Numbering Systems}
\date{6/26/06}         

\begin{document}

\maketitle

\section{Short Problems}
\begin{enumerate}
\item Convert each of the following numbers from binary to decimal: 
\begin{enumerate}
\item 1011$_{2}$ 
\item 11010$_{2}$ 
\item 100100$_{2}$ 
\end{enumerate}
	 
\item Convert each of the following numbers from hexadecimal to decimal: 
\begin{enumerate}
\item 4E$_{16}$ 
\item 4FA$_{16}$ 
\item D1E3$_{16}$ 
\end{enumerate}
 
\item Convert each of the following numbers from decimal to binary: 
\begin{enumerate}
\item 186 
\item 36 
\end{enumerate}
 
\item Convert each of the following numbers from decimal to hexadecimal: 
\begin{enumerate}
\item 183 
\item 36304 
\item 0.0078125 
\end{enumerate}
	 
\item Convert the following base five numbers to base seven numbers: 
\begin{enumerate}
\item 0213$_{5}$ 
\item 4321$_{5}$ 
\end{enumerate}
\end{enumerate}

\section{Thought Problems} 
Try to answer the following problems as much as you can. 
\begin{enumerate} 
\item Can you think of a way to subtract/add in binary? Using your answer, try to solve the following problems: 
\begin{enumerate}
\item 1011+0110+0101, to check yourself change these numbers to decimal and see if your solution matches. 
\item 1100-1001, to check yourself change these numbers to decimal and see if your solution matches. 
\end{enumerate}
\item Can you think of a way to represent negative numbers in binary? 
\end{enumerate}
\end{document}
