35 lines
2.9 KiB
TeX
35 lines
2.9 KiB
TeX
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\documentclass[12pt]{scrartcl}
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\usepackage[LB]{spioncamp}
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\newcommand{\kasten}[3]{\framebox{\vbox to #2 {\vfil\hbox to #1{#3}\vfil}}}
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\geometry{}%doro left15mm}
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\def\version{2 \today}
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\begin{document}
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\title{Modulo-Rechnung}
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\subtitle{Schlüsselaustausch}
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\hspace{-7ex}
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\exercise{1}{
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\textbf{Berechne wie in den Beispielen auf dem Stationsblatt:}\\[1ex]
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\begin{tabular}{lrcrcrcrcrrrrcr}
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~ & $25$ & $mod$ & $ 7$ & $=$ & \kasten{5mm}{5mm}{~4} & , da & $ 25$ & $:$ & $ 7$ & $=$ & \kasten{5mm}{5mm}{~3} & \textbf{, Rest} & \kasten{5mm}{5mm}{~4}\\
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~ & $90$ & $mod$ & $ 11$ & $=$ & \kasten{5mm}{5mm}{~2} & , da & $ 90$ & $:$ & $11$ & $=$ & \kasten{5mm}{5mm}{~8} & \textbf{, Rest} & \kasten{5mm}{5mm}{~2}\\
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~ & $23$ & $mod$ & $ 8$ & $=$ & \kasten{5mm}{5mm}{~7} & , da & $ 23$ & $:$ & $ 8$ & $=$ & \kasten{5mm}{5mm}{~2} & \textbf{, Rest} & \kasten{5mm}{5mm}{~7}\\
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~ & $10$ & $mod$ & $ 19$ & $=$ & \kasten{5mm}{5mm}{10} & , da & $ 10$ & $:$ & $19$ & $=$ & \kasten{5mm}{5mm}{~0} & \textbf{, Rest} & \kasten{5mm}{5mm}{10}\\
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~ & $106$ & $mod$ & $ 21$ & $=$ & \kasten{5mm}{5mm}{~1} & , da & $106$ & $:$ & $21$ & $=$ & \kasten{5mm}{5mm}{~5} & \textbf{, Rest} & \kasten{5mm}{5mm}{~1}\\
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~ & $42$ & $mod$ & $ 4$ & $=$ & \kasten{5mm}{5mm}{~2} & , da & $ 42$ & $:$ & $ 4$ & $=$ & \kasten{5mm}{5mm}{10} & \textbf{, Rest} & \kasten{5mm}{5mm}{~2}\\
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~ & $8$ & $mod$ & $ 3$ & $=$ & \kasten{5mm}{5mm}{~2} & , da & $ 8$ & $:$ & $ 3$ & $=$ & \kasten{5mm}{5mm}{~2} & \textbf{, Rest} & \kasten{5mm}{5mm}{~2}\\
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~ & $33$ & $mod$ & $ 15$ & $=$ & \kasten{5mm}{5mm}{~3} & , da & \kasten{10mm}{5mm}{~~33} & $:$ & \kasten{5mm}{5mm}{15} & $=$ & \kasten{5mm}{5mm}{~2} & \textbf{, Rest} & \kasten{5mm}{5mm}{~3}\\
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~ & $107$ & $mod$ & $ 25$ & $=$ & \kasten{5mm}{5mm}{~7} & , da & \kasten{10mm}{5mm}{~107} & $:$ & \kasten{5mm}{5mm}{25} & $=$ & \kasten{5mm}{5mm}{~4} & \textbf{, Rest} & \kasten{5mm}{5mm}{~7}\\
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~ & $2180$ & $mod$ & $ 54$ & $=$ & \kasten{5mm}{5mm}{28} & , da & \kasten{10mm}{5mm}{2180} & $:$ & \kasten{5mm}{5mm}{54} & $=$ & \kasten{5mm}{5mm}{38} & \textbf{, Rest} & \kasten{5mm}{5mm}{28}\\
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~ & $1011$ & $mod$ & $ 12$ & $=$ & \kasten{5mm}{5mm}{~3} & , da & \kasten{10mm}{5mm}{1011} & $:$ & \kasten{5mm}{5mm}{12} & $=$ & \kasten{5mm}{5mm}{84} & \textbf{, Rest} & \kasten{5mm}{5mm}{~3}\\
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~ & $1001$ & $mod$ & $ 13$ & $=$ & \kasten{5mm}{5mm}{~0} & , da & \kasten{10mm}{5mm}{1001} & $:$ & \kasten{5mm}{5mm}{13} & $=$ & \kasten{5mm}{5mm}{77} & \textbf{, Rest} & \kasten{5mm}{5mm}{~0}\\
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~ & $45$ & $mod$ & $ 14$ & $=$ & \kasten{5mm}{5mm}{~3} & , da & \kasten{10mm}{5mm}{~~45} & $:$ & \kasten{5mm}{5mm}{14} & $=$ & \kasten{5mm}{5mm}{~3} & \textbf{, Rest} & \kasten{5mm}{5mm}{~3}\\
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~ & $785$ & $mod$ & $ 43$ & $=$ & \kasten{5mm}{5mm}{11} & , da & \kasten{10mm}{5mm}{~785} & $:$ & \kasten{5mm}{5mm}{43} & $=$ & \kasten{5mm}{5mm}{18} & \textbf{, Rest} & \kasten{5mm}{5mm}{11}\\
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\end{tabular}
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}
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%\fbox{\parbox{\linewidth}{\vspace*{13cm}~}}
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\end{document}
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