\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{tytro}
\pdfinfo{
  /Title (csse2010.pdf)
  /Creator (Cheatography)
  /Author (tytro)
  /Subject (CSSE2010 Cheat Sheet)
}

% Lengths and widths
\addtolength{\textwidth}{6cm}
\addtolength{\textheight}{-1cm}
\addtolength{\hoffset}{-3cm}
\addtolength{\voffset}{-2cm}
\setlength{\tabcolsep}{0.2cm} % Space between columns
\setlength{\headsep}{-12pt} % Reduce space between header and content
\setlength{\headheight}{85pt} % If less, LaTeX automatically increases it
\renewcommand{\footrulewidth}{0pt} % Remove footer line
\renewcommand{\headrulewidth}{0pt} % Remove header line
\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
\newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns
\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
\definecolor{HeadBackground}{HTML}{333333}
\definecolor{FootBackground}{HTML}{666666}
\definecolor{TextColor}{HTML}{333333}
\definecolor{DarkBackground}{HTML}{384fe0}
\definecolor{LightBackground}{HTML}{F2F4FD}
\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{CSSE2010 Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{tytro} via \textcolor{DarkBackground}{\uline{cheatography.com/213425/cs/46432/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}tytro \\
  \uline{cheatography.com/tytro} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 23rd May, 2025.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\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*}{3}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Radices}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/tytro_1747982761_Screenshot 2025-05-23 064523.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.21133 cm} x{1.16956 cm} x{1.37841 cm} p{0.4177 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{5.377cm}}{\bf\textcolor{white}{Binary Arithmetic (Examples)}}  \tn
% Row 0
\SetRowColor{LightBackground}
Signed (8 Bit) & 1's Comp (8 Bit) & 2's Comp (8 Bit) & No. \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
10100111 & 11011000 & 11011001 & -39 \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
10101101 & 11010010 & 11010011 & -55 \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
11000101 & 10111010 & 10111011 & -69 \tn 
% Row Count 5 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\SetRowColor{LightBackground}
\mymulticolumn{4}{x{5.377cm}}{2's Comp: Flipped Binary when -ve, +1 \newline 1's Comp: Flipped Binary when -ve \newline (2 Zeros: 0000 and 1111) \newline Signed: MSB Flipped when -ve \newline  \newline Binary Formats: N-Bit Number \newline Excess-2\textasciicircum{}(N-1)\textasciicircum{}: -2\textasciicircum{}(N-1)\textasciicircum{} \textless{}= x \textless{}= (2\textasciicircum{}(N-1)\textasciicircum{} -1) \newline 2's Comp:            -2\textasciicircum{}(N-1)\textasciicircum{} \textless{}= x \textless{}= (2\textasciicircum{}(N-1)\textasciicircum{} -1) \newline 1's Comp:            -(2\textasciicircum{}(N-1)\textasciicircum{} -1) \textless{}= x \textless{}= (2\textasciicircum{}(N-1)\textasciicircum{} -1) \newline Signed-Mag:        -(2\textasciicircum{}(N-1)\textasciicircum{} -1) \textless{}= x \textless{}= (2\textasciicircum{}(N-1)\textasciicircum{} -1) \newline Unsigned-Mag:    0 \textless{}= x \textless{}= 2\textasciicircum{}N\textasciicircum{} - 1}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Binary Coded Decimal (BCD)}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Structure: \newline % Row Count 1 (+ 1)
- Each decimal digit (0–9) is represented by a 4-bit binary number. \newline % Row Count 3 (+ 2)
- BCD represents multi-digit numbers by encoding each digit individually in binary. \newline % Row Count 5 (+ 2)
- Valid BCD values: 0000 to 1001 (0–9). \newline % Row Count 6 (+ 1)
- Invalid BCD values: 1010 to 1111 (10–15). \newline % Row Count 7 (+ 1)
Conversion: \newline % Row Count 8 (+ 1)
Decimal to BCD \newline % Row Count 9 (+ 1)
1. Split number into individual digits \newline % Row Count 10 (+ 1)
2. Convert each digit to 4-bit binary \newline % Row Count 11 (+ 1)
e.g. 3579 -\textgreater{} 3 5 7 9 -\textgreater{} 0011 0101 0111 1001 \newline % Row Count 12 (+ 1)
BCD to Decimal \newline % Row Count 13 (+ 1)
1. Group the BCD bits into 4 chunks \newline % Row Count 14 (+ 1)
2. Convert each chunk to a decimal digit \newline % Row Count 15 (+ 1)
e.g. 0011 0101 0111 1001 -\textgreater{} 3 5 7 9 -\textgreater{} 3579 \newline % Row Count 16 (+ 1)
Minimum D Flip-Flops \newline % Row Count 17 (+ 1)
- 1 D flip-flop stores 1 bit. \newline % Row Count 18 (+ 1)
- Each BCD digit = 4 bits. \newline % Row Count 19 (+ 1)
- For an N-digit decimal number:  \newline % Row Count 20 (+ 1)
-{}- Minimum flip-flops = 4 × N \newline % Row Count 21 (+ 1)
e.g. 3579 = 4 digits -\textgreater{} 4x4 =16 flip-flops% Row Count 22 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}