\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{stackengine}
\usepackage{xcolor}
\usepackage{tcolorbox}
\begin{document}

\newcommand{\bnot}[1]{\overline{#1}}
\newcommand{\bnand}{\ \stackon[-5pt]{$\wedge$}{$\sim$}\ }
\newcommand{\bnor}{\ \stackon[-5pt]{$\vee$}{$\sim$}\ }

\definecolor{sourceboxbg}{RGB}{247,247,247}
\definecolor{boxframe}{RGB}{180,188,196}
\setlength{\parindent}{0pt}

\newtcolorbox{sourcebox}{colback=sourceboxbg, colframe=boxframe, boxrule=0.5pt, arc=1mm, left=1.2mm, right=1.2mm, top=1mm, bottom=1mm, halign=center}
\newtcolorbox{renderedbox}{colback=white, colframe=boxframe, boxrule=0.5pt, arc=1mm, left=1.2mm, right=1.2mm, top=1mm, bottom=1mm, halign=center}

\begin{center}
	{\LARGE\bfseries \texttt{digtick} {\LaTeX} formula showcase}\par
	\vspace{0.5em}
	{\large digtick v0.1.1rc0 / pdflatex {\the\pdftexversion.\pdftexrevision} \fmtversion}
\end{center}

\section{Purpose}
This document shows several formulas in their raw form (i.e., how they were supplied directly to \texttt{digtick}) and the rendered {\LaTeX} output that \texttt{digtick} produces from them, usually with multiple variants.

\section{Examples}

\begin{minipage}{\linewidth}
Input to digtick:
\begin{sourcebox}\texttt{A !B !C D !E + !<A B> + (!A + !C) (!B + !(C + BD) + !<!A + !B + C + D>)}\end{sourcebox}
Default rendering:
\begin{renderedbox}$\mathrm{A \bnot{B}\,\bnot{C} D \bnot{E} \vee \bnot{A B} \vee (\bnot{A} \vee \bnot{C}) (\bnot{B} \vee \bnot{(C \vee BD)} \vee \bnot{\bnot{A} \vee \bnot{B} \vee C \vee D})}$\end{renderedbox}
Using math operators:
\begin{renderedbox}$\mathrm{A \neg B \neg C D \neg E \vee \neg (A B) \vee (\neg A \vee \neg C) (\neg B \vee \neg (C \vee BD) \vee \neg (\neg A \vee \neg B \vee C \vee D))}$\end{renderedbox}
\end{minipage}
\vspace{2cm}

\begin{minipage}{\linewidth}
Input to digtick:
\begin{sourcebox}\texttt{(A + B + 0) (C D 1)}\end{sourcebox}
Default rendering:
\begin{renderedbox}$\mathrm{(A \vee B \vee 0) (C D 1)}$\end{renderedbox}
Using math operators and constants:
\begin{renderedbox}$\mathrm{(A \vee B \vee \bot) (C D \top)}$\end{renderedbox}
\end{minipage}
\vspace{2cm}

\begin{minipage}{\linewidth}
Input to digtick:
\begin{sourcebox}\texttt{A + B * C}\end{sourcebox}
Default rendering:
\begin{renderedbox}$\mathrm{A \vee B C}$\end{renderedbox}
\end{minipage}
\vspace{2cm}

\begin{minipage}{\linewidth}
Input to digtick:
\begin{sourcebox}\texttt{<A + B> \~{}C}\end{sourcebox}
Default rendering:
\begin{renderedbox}$\mathrm{(A \vee B) \bnot{C}}$\end{renderedbox}
Using math operators:
\begin{renderedbox}$\mathrm{(A \vee B) \neg C}$\end{renderedbox}
\end{minipage}
\vspace{2cm}

\begin{minipage}{\linewidth}
Input to digtick:
\begin{sourcebox}\texttt{<<<<A + <B>>>>> C}\end{sourcebox}
Default rendering:
\begin{renderedbox}$\mathrm{(A \vee B) C}$\end{renderedbox}
\end{minipage}
\vspace{2cm}

\begin{minipage}{\linewidth}
Input to digtick:
\begin{sourcebox}\texttt{A \^{} B \% !C @ D}\end{sourcebox}
Default rendering:
\begin{renderedbox}$\mathrm{A \oplus B \bnor \bnot{C} \bnand D}$\end{renderedbox}
Using math operators:
\begin{renderedbox}$\mathrm{A \oplus B \bnor \neg C \bnand D}$\end{renderedbox}
\end{minipage}
\vspace{2cm}

\begin{minipage}{\linewidth}
Input to digtick:
\begin{sourcebox}\texttt{F\_15 !F\_4 !F\_2 + F\_4 F\_1 !F\_0 + !<F\_2 F\_3>}\end{sourcebox}
Default rendering:
\begin{renderedbox}$\mathrm{F_{15} \bnot{F_4}\,\bnot{F_2} \vee F_4 F_1 \bnot{F_0} \vee \bnot{F_2 F_3}}$\end{renderedbox}
Using math operators:
\begin{renderedbox}$\mathrm{F_{15} \neg F_4 \neg F_2 \vee F_4 F_1 \neg F_0 \vee \neg (F_2 F_3)}$\end{renderedbox}
\end{minipage}
\vspace{2cm}

\end{document}