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zCRKlkU=QqtL$F_J9gW}s9OT`fVMXC`hozMlBRv8%F?SNirT$wH9ETI^k2ZhhPC-H1 z_cYQ;i0hq}#=pd|X_(ZRwE5i|ge^)_gh zW+x+P0m|x~&@O#?5SJ=tn^3xj+}Nn4f9c@%fEL;F?|eZnD14(awYHB|ya`{1}>xBp? zrXL2%yMrZoG~2CY4^kjMbFVUyoyTN|}6btWGP__aj!*%1k^k9wu6ng>uM2 z70icfsDWC@LmkvZ{GT>L6Es5$v_c!SLkBE?PUwPeWeU6InmsdUzW`X1rltyIZe(+G ja%Ev{3T19&Z(?c+b99%hivtM^GBGkVHVP#rMNdWwb;ed+ diff --git a/presentation.tex b/presentation.tex index eae7d95..f9ef06b 100644 --- a/presentation.tex +++ b/presentation.tex @@ -134,9 +134,12 @@ showstringspaces=false % \definecolor{darkgreen}{rgb}{0.0,0.5,0.0} -\title[LoRa]{Breadboard logic} +\title[Breadboard]{Breadboard logic} +\author{Tobias Eckert, Simon Pirkelmann} +\institute{\includegraphics[scale=0.5]{images/iR.pdf}} \date{January 13th, 2020} + \AfterPreamble{\hypersetup{ urlcolor=blue, }} @@ -812,13 +815,13 @@ If we want to add N-bit numbers we have to account for the carry bit of lower-va \begin{itemize} \item Adding two N-bit binary numbers:\\ \begin{tabular}{rccccc} - \textbf{A}: & & 1 & 0 & 1 & 1 \\ + \textbf{A}: & & 1 & 0 & 1 & 1 \\ \textbf{B}: & & 1 & 1 & 1 & 0 \\ \textbf{CARRY}: & \onslide<9->{1} & \onslide<7->{1} & \onslide<5->{1} & \onslide<3->{0} & 0 \\ \hline \textbf{SUM}: & \onslide<10->{1} & \onslide<8->{1} & \onslide<6->{0} & \onslide<4->{0} & \onslide<2->{1} \end{tabular} -\item<11-> 4 bit \textbf{ripple carry adder}:\\[0.2cm] +\item<11-> nibble \textbf{ripple carry adder}:\\[0.2cm] \begin{circuitikz}[scale=0.9] @@ -948,7 +951,11 @@ If we want to add N-bit numbers we have to account for the carry bit of lower-va \end{itemize} \end{frame} -\begin{frame}{Gated latch} +\begin{frame}{Gated S-R latch} +\begin{itemize} + \item S-R latch should only change state when certain conditions are met (e.g. on clock pulse) + $\rightarrow$ gated S-R latch +\end{itemize} \begin{circuitikz} \draw (0,0) node[nor port] (NOR1) {{\hspace*{-0.0cm}\tiny NOR}}; \draw (0,-3) node[nor port] (NOR2) {{\hspace*{-0.0cm}\tiny NOR}}; @@ -988,9 +995,16 @@ If we want to add N-bit numbers we have to account for the carry bit of lower-va \node[right] at (Q) {\textbf{Q}}; \node[right] at (Qbar) { $\overline{\mbox{\textbf{Q}}}$}; \end{circuitikz} +\begin{itemize} +\item output \textbf{Q} can only change when \textbf{EN} is HIGH +\end{itemize} \end{frame} -\begin{frame}{D latch} +\begin{frame}{(Transparent) D latch} +\begin{itemize} + \item Problem of "forbidden" state \textbf{R} = \textbf{S} = 1 for S-R latch\\ + $\rightarrow$ D latch prevents this from happening +\end{itemize} \begin{circuitikz} \draw (0,0) node[nor port] (NOR1) {{\hspace*{-0.0cm}\tiny NOR}}; \draw (0,-3) node[nor port] (NOR2) {{\hspace*{-0.0cm}\tiny NOR}}; @@ -1032,13 +1046,94 @@ If we want to add N-bit numbers we have to account for the carry bit of lower-va \node[left] at (EN) {\textbf{EN}}; \node[right] at (Q) {\textbf{Q}}; \node[right] at (Qbar) { $\overline{\mbox{\textbf{Q}}}$}; -\end{circuitikz} +\end{circuitikz}\\ +Symbol:\\ +\hspace{3cm} + \begin{circuitikz}[scale=0.15] + \ctikzset{chips/scale=0.75} + \draw (0,0) node[dipchip, num pins=4, hide numbers, no topmark, external pins width=0, align=left] (DLATCH) {{\tiny D latch}}; + \draw (DLATCH.bpin 1) ++ (-2,0) node (D) {}; + \draw (DLATCH.bpin 2) ++ (-2,0) node (EN) {}; + \draw (DLATCH.bpin 4) ++ (2,0) node (Q) {}; + \draw (DLATCH.bpin 3) ++ (2,0) node (Qbar) {}; + + \draw (D) to[short, o-] (DLATCH.bpin 1); + \draw (EN) to[short, o-] (DLATCH.bpin 2); + \draw (Q) to[short, o-] (DLATCH.bpin 4); + \draw (Qbar) to[short, o-] (DLATCH.bpin 3); + + \node[left] at (D) {\textbf{D}}; + \node[left] at (EN) {\textbf{EN}}; + \node[right] at (Q) {\textbf{Q}}; + \node[right] at (Qbar) { $\overline{\mbox{\textbf{Q}}}$}; + \end{circuitikz} \end{frame} - - -\begin{frame}{Building a N-bit shift register} - content... +\begin{frame}{D flip-flop} + \begin{itemize} + \item Only want the state \textbf{Q} to change at specific point in time + \item Implemented using two latches in master-slave configuration: + \end{itemize} + \begin{circuitikz}[scale=0.2] + \ctikzset{chips/scale=1.0} + + % master + \draw (0,0) node[dipchip, num pins=4, hide numbers, no topmark, external pins width=0, align=left] (DLATCH1) {{\tiny D latch}}; + \draw (DLATCH1.bpin 1) ++ (-4,0) node (D1) {}; + \draw (DLATCH1.bpin 2) ++ (-4,-6) node (EN1) {}; + \draw (EN1) ++ (3,0) node (P1) {}; + \draw (DLATCH1.bpin 4) ++ (2,0) node (Q1) {}; + \draw (DLATCH1.bpin 3) ++ (2,0) node (Qbar1) {}; + + \draw (D1) to[short, o-] (DLATCH1.bpin 1); + \draw (EN1) to[short, o-] (P1) |- (DLATCH1.bpin 2); + \draw (Q1) to[short, -] (DLATCH1.bpin 4); + + \node[left] at (D1) {\textbf{D}}; + \node[left] at (EN1) {\textbf{CLK}}; + \node[left] at (DLATCH1.bpin 4) {\textbf{{\tiny Q1}}}; + \node[left] at (DLATCH1.bpin 3) { $\overline{\mbox{\textbf{{\tiny Q1}}}}$}; + + % slave + \draw (20,0) node[dipchip, num pins=4, hide numbers, no topmark, external pins width=0, align=left] (DLATCH2) {{\tiny D latch}}; + \draw (DLATCH2.bpin 1) ++ (-2,0) node (D2) {}; + \draw (DLATCH2.bpin 2) ++ (-2,0) node (EN2) {}; + \draw (DLATCH2.bpin 4) ++ (4,0) node (Q2) {}; + \draw (DLATCH2.bpin 3) ++ (4,0) node (Qbar2) {}; + + \draw (D2) to[short, -] (DLATCH2.bpin 1); + \draw (EN2) to[short, -] (DLATCH2.bpin 2); + \draw (Q2) to[short, o-] (DLATCH2.bpin 4); + \draw (Qbar2) to[short, o-] (DLATCH2.bpin 3); + + \draw (Q1.center) -- (D2.center); + + \node[right] at (DLATCH2.bpin 1) {\textbf{{\tiny D2}}}; + \node[right] at (DLATCH2.bpin 2) {$\overline{\mbox{\textbf{{\tiny CLK}}}}$}; + \node[right] at (Q2) {\textbf{Q}}; + \node[right] at (Qbar2) { $\overline{\mbox{\textbf{Q}}}$}; + + % inverter + \draw (P1) ++ (5,0) node[not port, scale=0.75] (NOT) {}; + \draw (P1) to[short,*-] (NOT.in); + \draw (EN2.center) |- (NOT.out); + + \node[above] at (DLATCH1.n) {master}; + \node[above] at (DLATCH2.n) {slave}; + + \draw (DLATCH1.nw) ++ (-2, 2.5) node (A) {}; + \draw (DLATCH2.ne) ++ (2, 2.5) node (B) {}; + \draw (DLATCH2.se) ++ (2, -7) node (C) {}; + \draw (DLATCH1.sw) ++ (-2, -7) node (D) {}; + \draw[dashed] (A.center) -- (B.center) -- (C.center) -- (D.center) -- (A.center); + \end{circuitikz} + \begin{itemize} + \item \textbf{Q} changes only on falling edge of the \textbf{CLK} signal + \end{itemize} \end{frame} +%\begin{frame}{Building a N-bit shift register} +% content... +%\end{frame} + \end{document}