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\begin{document}

\centerline{\bf Honors Homework 2} 

\centerline{Morally Due Mon Feb 14 at 9:00 AM. Dead Cat Feb 16 at 9:00 Am}

COURSE WEBSITE:

\url{http://www.cs.umd.edu/~gasarch/COURSES/752/S22/index.html}

(The symbol before gasarch is a tilde.)



\begin{enumerate}


\item (20 points) 
Consider the following table
\begin{center}
\begin{tabular}{c|c|c|c}
    X & Y & Z & Output \\ \hline
    0 & 0 & 0 & 1 \\
    0 & 0 & 1 & 1 \\
    0 & 1 & 0 & 0 \\
    0 & 1 & 1 & 0 \\
    1 & 0 & 0 & 1 \\
    1 & 0 & 1 & 0 \\
    1 & 1 & 0 & 1 \\
    1 & 1 & 1 & 0 \\
\end{tabular}
\end{center}


\begin{enumerate}
    \item (10 points) Draw the k-map for the table.
    \item (10 points) Give the simplified expression from the k-map.
\end{enumerate}

\item (30 points) 
Consider the following table
\begin{center}
\begin{tabular}{c|c|c|c}
    X & Y & Z & Output \\ \hline
    0 & 0 & 0 & 0 \\
    0 & 0 & 1 & 1\\
    0 & 1 & 0 & 1 \\
    0 & 1 & 1 & 0 \\
    1 & 0 & 0 & 1 \\
    1 & 0 & 1 & 0 \\
    1 & 1 & 0 & 0 \\
    1 & 1 & 1 & 1 \\
\end{tabular}
\end{center}


\begin{enumerate}
    \item (10 points) Draw the k-map for the table.
    \item (10 points) Give the simplified expression from the k-map.
    \item (10 points) Give the expression in terms of exclusive-or.
\end{enumerate}    
    
    
\item (20 points) 
Consider the following table
\begin{center}
\begin{tabular}{c|c|c|c|c}
    W & X & Y & Z & Output \\ \hline
    0 & 0 & 0 & 0 & 1 \\
    0 & 0 & 0 & 1 & 0 \\
    0 & 0 & 1 & 0 & 1 \\
    0 & 0 & 1 & 1 & 0 \\
    0 & 1 & 0 & 0 & 0 \\
    0 & 1 & 0 & 1 & 1 \\
    0 & 1 & 1 & 0 & 0 \\
    0 & 1 & 1 & 1 & 1 \\
    1 & 0 & 0 & 0 & 1 \\
    1 & 0 & 0 & 1 & 0 \\
    1 & 0 & 1 & 0 & 1 \\
    1 & 0 & 1 & 1 & 0 \\
    1 & 1 & 0 & 0 & 0 \\
    1 & 1 & 0 & 1 & 1 \\
    1 & 1 & 1 & 0 & 0 \\
    1 & 1 & 1 & 1 & 1 \\
\end{tabular}
\end{center}


\begin{enumerate}
    \item (10 points) Draw the k-map for the table.
    \item (10 points) Give the simplified expression from the k-map.
\end{enumerate}

\item (10 points) In recitation, the SR Latch was made up of two NOR Gates. Draw an SR Latch with NAND and NOT gates.

\item (10 points) When D = 1 and the clock = 0 what does the clocked D latch produce?

\item (10 points) How many AND gates are in a 16-bit register made up of flip-flops?


\end{enumerate}
\end{document}