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+% !TEX root = dt-slides-dt.tex
+\section{Reale Gatter}
+
+\begin{frame}
+\frametitle{Reale Gatter}
+\begin{center}
+\LARGE Reale Gatter
+\end{center}
+\end{frame}
+
+\begin{frame}
+\frametitle{MOS Transistoren NMOS / PMOS / CMOS / Beispiel Inverter}
+\centering
+\begin{tabular}{ccc}
+\begin{circuitikz}
+\draw (0,4) node[pigfete] (pmos) {PMOS};
+\draw (0,0) node[nigfete] (nmos) {NMOS};
+\draw (nmos.G) node[anchor=east] {Gate};
+\draw (nmos.S) node[anchor=south west] {Source};
+\draw (nmos.D) node[anchor=north west] {Drain};
+\draw (pmos.G) node[anchor=east] {Gate};
+\draw (pmos.S) node[anchor=north west] {Source};
+\draw (pmos.D) node[anchor=south west] {Drain};
+\draw (nmos.G) -- (pmos.G) node[circ, midway] (c0) {};
+\draw (c0) -- ++(left:2) node[anchor=east] {Ui};
+\draw (nmos.D) -- (pmos.D) node[circ,midway] (c1) {};
+\draw (c1) -- ++(right:2) node[anchor=west] {Uo};
+\draw (nmos.S) node[circ] {} -- +(right:2) -- +(left:2) node[anchor=north] {Gnd};
+\draw (pmos.S) node[circ] {} -- +(right:2) -- +(left:2) node[anchor=south] {Vdd};
+\end{circuitikz}
+&
+\begin{circuitikz}
+\draw (0,0) to[ccsw] (0,3) to[cosw] (0,6);
+\draw (0,3) node[anchor=east] {Ui = Vdd};
+\draw (0,3) node[anchor=west] {Uo = Gnd};
+\end{circuitikz}
+&
+\begin{circuitikz}
+\draw (0,0) to[cosw] (0,3) to[ccsw] (0,6);
+\draw (0,3) node[anchor=east] {Ui = Gnd};
+\draw (0,3) node[anchor=west] {Uo = Vdd};
+\end{circuitikz}\\
+\end{tabular}
+
+\end{frame}
+
+
+\begin{frame}
+\frametitle{MOS Transistoren}
+\includegraphics[width=\textwidth]{realegatter/rg-mos}
+\end{frame}
+
+\begin{frame}
+\frametitle{Periodensystem}
+\includegraphics[width=\textwidth]{realegatter/rg-periodensystem}
+\end{frame}
+
+\begin{frame}
+\frametitle{Xilinx Virtex 5 FPGA}
+\includegraphics[width=\textwidth]{realegatter/rg-virtex5-metalstack}
+\end{frame}
+
+\begin{frame}
+\frametitle{Xilinx Virtex 5 FPGA}
+\includegraphics[width=\textwidth]{realegatter/rg-virtex5-twotrans}
+\end{frame}
+
+\begin{frame}
+\frametitle{Xilinx Virtex 5 FPGA}
+\includegraphics[width=0.7\textwidth]{realegatter/rg-virtex5-trans}
+\end{frame}
+
+\begin{frame}
+\frametitle{Technology Scaling - Bernard Meyerson (IBM) }
+\includegraphics[width=0.9\textwidth]{realegatter/rg-meyerson}
+\end{frame}
+
+
+\begin{frame}
+\frametitle{NMOS Transistor Kennlinie}
+\includegraphics[width=0.7\textwidth]{realegatter/rg-kennnmos}
+\vspace{0.5cm}
+
+\hspace{1cm}\includegraphics[width=0.1\textwidth]{realegatter/rg-nmos}
+\vspace{4cm}
+\end{frame}
+
+\begin{frame}
+\frametitle{Inverter aus MOS Transistoren}
+\includegraphics[width=\textwidth]{realegatter/rg-inverter}
+\end{frame}
+
+\begin{frame}
+\frametitle{CMOS Inverter - statische Kennlinie}
+\includegraphics[width=\textwidth]{realegatter/rg-kennstat}
+\end{frame}
+
+\begin{frame}
+\frametitle{CMOS Inverter - Verzögerungszeit (dynamisch)}
+\includegraphics[width=\textwidth]{realegatter/rg-kenndyn}
+\end{frame}
+
+\begin{frame}
+\frametitle{CMOS - Ausgänge zusammenschalten}
+\includegraphics[height=0.7\textheight]{realegatter/rg-kurzschluss}
+\end{frame}
+
+\begin{frame}
+\frametitle{74HC00 - 4 fach NAND Gatter}
+\includegraphics[width=0.7\textwidth]{realegatter/74hc00}
+
+\tiny{source: © Raimond Spekking / CC BY-SA 4.0 (via Wikimedia Commons) \url{https://commons.wikimedia.org/wiki/File:Seagate_ST351A-X_-_controller_-_STMicroelectronics_74HC00-1963.jpg}}
+
+Labor: \url{https://www.hs-augsburg.de/homes/beckmanf/dokuwiki/doku.php?id=dtlab_t1}
+
+
+\end{frame}
+
+\begin{frame}
+\frametitle{Verzögerung A}
+
+\begin{tikzpicture}[circuit logic IEC, circuit ee IEC]
+\draw (0,0) node[or gate] (or) {};
+\draw (or.input 1) -- ++(left:1cm) node[anchor=east] {a};
+\draw (or.input 2) -- ++(left:1cm) node[anchor=east] {b};
+\draw (or.output) -- ++(right:3mm) node[anchor=west] {y};
+\end{tikzpicture} 
+\hspace{1cm}
+$t_p = 1 ns$
+\vspace{2cm}
+
+
+\scalebox{2.5}{
+\begin{tikztimingtable}
+a & 4{L}15H\\
+b & 10L2H10L \\
+y & 6L14H\\
+\extracode
+\begin{pgfonlayer}{background} 
+\begin{scope}[semitransparent ,semithick]
+%\vertlines[red]{2.1,4.1,...,10.1}
+\vertlines[blue]{2,4,...,20} 
+\end{scope}
+% Draw the ruler 
+\draw[->] (all rows.south west) ++(down:0.7) node (rulerbegin) {} -- (all rows.south east |- rulerbegin)  -- ++(7mm,0) node[anchor=north] {\small t/ns};
+\draw
+(rulerbegin)
+\foreach \xtext in {1,2,...,9}{
+++(2,0) node[anchor=north] {\small \xtext}};
+\end{pgfonlayer}
+\end{tikztimingtable}
+}%scalebox
+
+\end{frame}
+
+\begin{frame}
+\frametitle{Verzögerung B}
+
+\begin{tikzpicture}[circuit logic IEC, circuit ee IEC]
+\draw (0,0) node[and gate] (g0) {};
+\draw (2,0) node[and gate] (g1) {};
+\draw (4,0) node[and gate] (g2) {};
+\draw (g0.input 2) -- ++(left:5mm) node[contact] (c) {} -- ++(left:5mm) node[anchor=east] {a};
+\draw (g0.input 1) -- ++(left:1cm) node[anchor=east] {b};
+\draw (g0.output) -- ++(right:3mm) |- node[anchor=south] {x} (g1.input 1);
+\draw (g1.output) -- ++(right:3mm) |- node[anchor=south] {y} (g2.input 1);
+\draw (g2.output) -- ++(right:3mm) node[anchor=west] {z};
+\draw (g2.input 2) -- ++(left:3mm) -- ++(down:1) -| (c);
+\draw (g1.input 2) -- ++(left:3mm) -- ++(down:1) node[contact]{};
+\end{tikzpicture}
+\hspace{1cm}
+$t_{pLH} = 1ns,  t_{pHL} = 1,5 ns$
+\vspace{1cm}
+
+
+\scalebox{2.5}{
+\begin{tikztimingtable}
+a & 16H4L\\
+b & 2L18H \\
+x & 4L15H1L\\
+y & 6L13H1L\\
+z & 8L11H1L\\
+\extracode
+\begin{pgfonlayer}{background} 
+\begin{scope}[semitransparent ,semithick]
+%\vertlines[red]{2.1,4.1,...,10.1}
+%\vertlines[blue]{3.1,5.1,...,10.1} 
+\vertlines[blue]{2,4,...,20} 
+\horlines[very thin]{3,4,5}
+\end{scope}
+% Draw the ruler 
+\draw[->] (all rows.south west) ++(down:0.7) node (rulerbegin) {} -- (all rows.south east |- rulerbegin)  -- ++(7mm,0) node[anchor=north] {\small t/ns};
+\draw
+(rulerbegin)
+\foreach \xtext in {1,2,...,9}{
+++(2,0) node[anchor=north] {\small \xtext}};
+\end{pgfonlayer}
+\end{tikztimingtable}
+}%scalebox
+
+\end{frame}
+
+\begin{frame}
+\frametitle{Verzögerung C}
+
+\begin{tikzpicture}[circuit logic IEC, circuit ee IEC]
+\draw (0,1) node[or gate] (g0) {};
+\draw (2,0) node[and gate] (g1) {};
+\draw (g0.input 1) -- ++(left:1cm) node[anchor=east] {a};
+\draw (g0.input 2) -- ++(left:1cm) node[anchor=east] {b};
+\draw (g0.output) -- ++(right:3mm) |- node[anchor=east] {x} (g1.input 1);
+\draw (g1.input 2) -- ++(left:3) node[anchor=east] {c};
+\draw (g1.output) -- node[above] {y} ++(right:1) node[not gate,anchor=input] (g2) {};
+\draw (g2.output) -- ++(right:1) node[anchor=west] {z};
+\end{tikzpicture}
+\hspace{1cm}
+$t_{pLH} = 1ns,  t_{pHL} = 0,5 ns$
+
+
+\scalebox{2.5}{
+\begin{tikztimingtable}
+a & 2L8H10L\\
+b & 6L14H \\
+c & 14H6L \\
+x & 4L16H\\
+y & 6L9H5L\\
+z & 7H10L3H\\
+\extracode
+\begin{pgfonlayer}{background} 
+\begin{scope}[semitransparent ,semithick]
+%\vertlines[red]{2.1,4.1,...,10.1}
+%\vertlines[blue]{3.1,5.1,...,10.1} 
+\horlines[very thin]{4,5,6}
+\vertlines[blue]{2,4,...,20} 
+\end{scope}
+% Draw the ruler 
+\draw[->] (all rows.south west) ++(down:0.7) node (rulerbegin) {} -- (all rows.south east |- rulerbegin)  -- ++(7mm,0) node[anchor=north] {\small t/ns};
+\draw
+(rulerbegin)
+\foreach \xtext in {1,2,...,12}{
+++(2,0) node[anchor=north] {\small \xtext}};
+\end{pgfonlayer}
+\end{tikztimingtable}
+}%scalebox
+
+\end{frame}
+
+\begin{frame}
+\frametitle{Verzögerung Hazard}
+
+\begin{tikzpicture}[circuit logic IEC, circuit ee IEC]
+\draw (0,0) node[not gate] (g0) {};
+\draw (2,0.5) node[and gate] (g1) {};
+\draw (g0.input) -- ++(left:1cm) -- ++(up:5mm) node[contact] (c) {} |- (g1.input 1);
+\draw (c) -- ++(left:1) node[anchor=east] {a};
+\draw (g0.output) -- ++(right:3mm) node[below] {x} |- (g1.input 2);
+\draw (g1.output) -- ++(right:1) node[anchor=west] {y};
+\end{tikzpicture}
+\hspace{1cm}
+$t_{p,Inv} = 2ns$
+$t_{p,And} = 1ns$
+\vspace{1cm}
+
+\scalebox{2.5}{
+\begin{tikztimingtable}
+a & 4H6L12H\\
+x & 8L6H8L\\
+y & 12L4H4L\\
+\extracode
+\begin{pgfonlayer}{background} 
+\begin{scope}[semitransparent ,semithick]
+%\vertlines[red]{2.1,4.1,...,10.1}
+%\vertlines[blue]{3.1,5.1,...,10.1} 
+\horlines[very thin]{2,3}
+\vertlines[blue]{2,4,...,20} 
+\end{scope}
+% Draw the ruler 
+\draw[->] (all rows.south west) ++(down:0.7) node (rulerbegin) {} -- (all rows.south east |- rulerbegin)  -- ++(7mm,0) node[anchor=north] {\small t/ns};
+\draw
+(rulerbegin)
+\foreach \xtext in {1,2,...,8}{
+++(2,0) node[anchor=north] {\small \xtext}};
+\end{pgfonlayer}
+\end{tikztimingtable}
+}%scalebox
+
+\end{frame}