% % schieberegister.tex -- template for standalon tikz images % % (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule % \documentclass[tikz]{standalone} \usepackage{amsmath} \usepackage{times} \usepackage{txfonts} \usepackage{pgfplots} \usepackage{csvsimple} \usetikzlibrary{arrows,intersections,math} \begin{document} \def\skala{1} \begin{tikzpicture}[>=latex,thick,scale=\skala] \definecolor{darkgreen}{rgb}{0,0.6,0} \def\s{0.8} \def\punkt#1#2{({#1*\s},{#2*\s})} \fill[color=blue!20] \punkt{0}{0} rectangle \punkt{8}{1}; \node at \punkt{0.5}{1} [above] {$X^7\mathstrut$}; \node at \punkt{3}{1} [above] {$+\mathstrut$}; \node at \punkt{3.5}{1} [above] {$X^4\mathstrut$}; \node at \punkt{5}{1} [above] {$+\mathstrut$}; \node at \punkt{5.5}{1} [above] {$X^2\mathstrut$}; \node at \punkt{7}{1} [above] {$+\mathstrut$}; \node at \punkt{7.5}{1} [above] {$1\mathstrut$}; \node at \punkt{0}{1} [above left] {\llap{$p(X)=\mathstrut$}}; \node at \punkt{0.5}{0.5} {\texttt{1}}; \node at \punkt{1.5}{0.5} {\texttt{0}}; \node at \punkt{2.5}{0.5} {\texttt{0}}; \node at \punkt{3.5}{0.5} {\texttt{1}}; \node at \punkt{4.5}{0.5} {\texttt{0}}; \node at \punkt{5.5}{0.5} {\texttt{1}}; \node at \punkt{6.5}{0.5} {\texttt{0}}; \node at \punkt{7.5}{0.5} {\texttt{1}}; \draw \punkt{0}{0} rectangle \punkt{8}{1}; \foreach \x in {1,...,7}{ \draw \punkt{\x}{0} -- \punkt{\x}{1}; } \fill[color=blue!20] \punkt{-1}{-3} rectangle \punkt{7}{-2}; \fill[color=darkgreen!20] \punkt{0}{-4} rectangle \punkt{8}{-3}; \node[color=darkgreen] at \punkt{-1}{-1.5} [left] {$m(X) = X^8+X^4+X^3+X+1$}; \node[color=darkgreen] at \punkt{-1}{-2.7} [left] {$\underbrace{X^4+X^3+X+1}_{}= X^8=\mathstrut$}; \coordinate (A) at ({-4.15*\s},{-3*\s}); \coordinate (B) at ({0*\s},{-3.5*\s}); \draw[->,color=red,shorten >= 0.1cm] (A) to[out=-90,in=180] (B); \node[color=red] at \punkt{-3.1}{-3.8} [below] {Feedback}; \node at \punkt{-0.5}{-2.5} {\texttt{1}}; \node at \punkt{0.5}{-2.5} {\texttt{0}}; \node at \punkt{1.5}{-2.5} {\texttt{0}}; \node at \punkt{2.5}{-2.5} {\texttt{1}}; \node at \punkt{3.5}{-2.5} {\texttt{0}}; \node at \punkt{4.5}{-2.5} {\texttt{1}}; \node at \punkt{5.5}{-2.5} {\texttt{0}}; \node at \punkt{6.5}{-2.5} {\texttt{1}}; \node at \punkt{7.5}{-2.5} {\texttt{0}}; \node[color=darkgreen] at \punkt{0.5}{-3.5} {\texttt{0}}; \node[color=darkgreen] at \punkt{1.5}{-3.5} {\texttt{0}}; \node[color=darkgreen] at \punkt{2.5}{-3.5} {\texttt{0}}; \node[color=darkgreen] at \punkt{3.5}{-3.5} {\texttt{1}}; \node[color=darkgreen] at \punkt{4.5}{-3.5} {\texttt{1}}; \node[color=darkgreen] at \punkt{5.5}{-3.5} {\texttt{0}}; \node[color=darkgreen] at \punkt{6.5}{-3.5} {\texttt{1}}; \node[color=darkgreen] at \punkt{7.5}{-3.5} {\texttt{1}}; \draw \punkt{0}{-4} rectangle \punkt{8}{-2}; \draw \punkt{0}{-3} -- \punkt{8}{-3}; \foreach \x in {1,...,7}{ \draw \punkt{\x}{-4} -- \punkt{\x}{-2}; } \foreach \x in {0.5,1.5,...,7.5}{ \draw[->,color=blue] \punkt{\x}{-0.1} -- \punkt{(\x-1)}{-1.9}; } \draw \punkt{0}{-6} rectangle \punkt{8}{-5}; \foreach \x in {1,...,7}{ \draw \punkt{\x}{-6} -- \punkt{\x}{-5}; } \node at \punkt{0.5}{-5.5} {\texttt{0}}; \node at \punkt{1.5}{-5.5} {\texttt{0}}; \node at \punkt{2.5}{-5.5} {\texttt{1}}; \node at \punkt{3.5}{-5.5} {\texttt{1}}; \node at \punkt{4.5}{-5.5} {\texttt{0}}; \node at \punkt{5.5}{-5.5} {\texttt{0}}; \node at \punkt{6.5}{-5.5} {\texttt{0}}; \node at \punkt{7.5}{-5.5} {\texttt{1}}; \node at \punkt{4}{-4.5} {$\|$}; \node at \punkt{10.3}{-3} [left] {$\left.\begin{matrix}\\ \\ \\ \end{matrix}\right\} + = \text{XOR}$}; \draw[<-,shorten >= 0.1cm, shorten <= 0.1cm] \punkt{8.0}{-2.0} arc (-30:30:{2.0*\s}); \node at \punkt{8.3}{-1} [right] {$\mathstrut \cdot X$}; \node at \punkt{8.1}{-5.5} [right] {$=X\cdot p(X)\mathstrut$}; \end{tikzpicture} \end{document}