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\documentclass{standalone}
\usepackage{cartonaugh}
\begin{document}
  \begin{cartonaugh}[2][2][1]\end{cartonaugh}
  \begin{cartonaugh}[2][4][1]\end{cartonaugh}
  \begin{cartonaugh}[4][2][1]\end{cartonaugh}
  \begin{cartonaugh}[4][4][1]\end{cartonaugh}
  \begin{cartonaugh}[4][4][2]\end{cartonaugh}
  \begin{cartonaugh}[4][4][4]\end{cartonaugh}
  \begin{cartonaugh}[4][4][2][$X_1X_0$][$X_3X_2$][$X_5X_4$][1]\end{cartonaugh}
  \begin{cartonaugh}[4][4][4][$X_1X_0$][$X_3X_2$][$X_5X_4$][1]\end{cartonaugh}
\end{document}