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% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
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% Document Info
\author{johnshamoon}
\pdfinfo{
  /Title (laws-of-boolean-algebra.pdf)
  /Creator (Cheatography)
  /Author (johnshamoon)
  /Subject (Laws of Boolean Algebra Cheat Sheet)
}

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% Header and Footer
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Laws of Boolean Algebra Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{johnshamoon} via \textcolor{DarkBackground}{\uline{cheatography.com/33783/cs/10542/}}}
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\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}johnshamoon \\
  \uline{cheatography.com/johnshamoon} \\
  \end{tabulary}
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\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 16th January, 2017.\\
   Updated 16th January, 2017.\\
   Page {\thepage} of \pageref{LastPage}.
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  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Identities}}  \tn
% Row 0
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% Row Count 1 (+ 1)
% Row 1
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\mymulticolumn{1}{x{8.4cm}}{0 · X = 0} \tn 
% Row Count 2 (+ 1)
% Row 2
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\mymulticolumn{1}{x{8.4cm}}{1 + X = 1} \tn 
% Row Count 3 (+ 1)
% Row 3
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\mymulticolumn{1}{x{8.4cm}}{1 · X = X} \tn 
% Row Count 4 (+ 1)
% Row 4
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\mymulticolumn{1}{x{8.4cm}}{X + X = X} \tn 
% Row Count 5 (+ 1)
% Row 5
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\mymulticolumn{1}{x{8.4cm}}{X · X = X} \tn 
% Row Count 6 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Negation}}  \tn
% Row 0
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\mymulticolumn{1}{x{8.4cm}}{X + \textasciitilde{}X = 1} \tn 
% Row Count 1 (+ 1)
% Row 1
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\mymulticolumn{1}{x{8.4cm}}{\textasciitilde{}0 = 1} \tn 
% Row Count 2 (+ 1)
% Row 2
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\mymulticolumn{1}{x{8.4cm}}{\textasciitilde{}1 = 0} \tn 
% Row Count 3 (+ 1)
% Row 3
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\mymulticolumn{1}{x{8.4cm}}{\textasciitilde{}\textasciitilde{}X = X} \tn 
% Row Count 4 (+ 1)
% Row 4
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\mymulticolumn{1}{x{8.4cm}}{X · \textasciitilde{}X = 0} \tn 
% Row Count 5 (+ 1)
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\par\addvspace{1.3em}

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% Row 0
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Communative Law & A · B = B · A \tn 
% Row Count 2 (+ 2)
% Row 1
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 & A + B = B + A \tn 
% Row Count 3 (+ 1)
% Row 2
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Associative Law & A · (B · C) = (A · B) · C \tn 
% Row Count 5 (+ 2)
% Row 3
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 & A + (B + C) = (A + B) +C \tn 
% Row Count 6 (+ 1)
% Row 4
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Distributive Law & A · (B + C) = A·B + A·C \tn 
% Row Count 8 (+ 2)
% Row 5
\SetRowColor{white}
 & A + B · C = (A+B)(A+C) \tn 
% Row Count 9 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4.56 cm} x{3.44 cm} }
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% Row 0
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% Row Count 1 (+ 1)
% Row 1
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\{\{ac\}\} \textasciitilde{}(X + Y) & = \textasciitilde{}X · \textasciitilde{}Y \tn 
% Row Count 2 (+ 1)
% Row 2
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\{\{ac\}\} \textasciitilde{}(X · Y · Z) & = \textasciitilde{}X + \textasciitilde{}Y + \textasciitilde{}Z \tn 
% Row Count 3 (+ 1)
% Row 3
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\{\{ac\}\} \textasciitilde{}(X + Y + Z) & = \textasciitilde{}X · \textasciitilde{}Y · \textasciitilde{}Z \tn 
% Row Count 4 (+ 1)
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\par\addvspace{1.3em}

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% Row 1
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% Row Count 4 (+ 2)
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% Row 4
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% Row 6
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% Row 7
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% Row Count 16 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}