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% Packages
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\usepackage{setspace}           % For line height
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\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{jackiechenjx}
\pdfinfo{
  /Title (cs2100-midterms.pdf)
  /Creator (Cheatography)
  /Author (jackiechenjx)
  /Subject (cs2100 midterms Cheat Sheet)
}

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% This two commands together give roughly
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% Commands
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% Header and Footer
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\fancyhead{} % Set header to blank
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\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{cs2100 midterms Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{jackiechenjx} via \textcolor{DarkBackground}{\uline{cheatography.com/194887/cs/40724/}}}
\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}jackiechenjx \\
  \uline{cheatography.com/jackiechenjx} \\
  \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 9th October, 2023.\\
   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{0.82386 cm} x{2.24273 cm} x{1.51041 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Number System}}  \tn
% Row 0
\SetRowColor{LightBackground}
 & 1s-complement & \seqsplit{2s-complement} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Min & -(2\textasciicircum{}n-1\textasciicircum{}-1) & -(2\textasciicircum{}n-1\textasciicircum{}) \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Max & 2\textasciicircum{}n-1\textasciicircum{}-1 & 2\textasciicircum{}n-1\textasciicircum{}-1 \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\seqsplit{Zero(s)} & 0, 2\textasciicircum{}n\textasciicircum{}-1 & 0 \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\seqsplit{Negation} & 2\textasciicircum{}n\textasciicircum{} - X -1 & 2\textasciicircum{}n\textasciicircum{}-X \tn 
% Row Count 6 (+ 2)
% Row 5
\SetRowColor{white}
Addition\textasciicircum{}{[}1{]}\textasciicircum{} & Add carry out to result & Ignore carry out \tn 
% Row Count 8 (+ 2)
% Row 6
\SetRowColor{LightBackground}
 & Sign-Magnitude & Excess \tn 
% Row Count 9 (+ 1)
% Row 7
\SetRowColor{white}
Min & -(2\textasciicircum{}n-1\textasciicircum{}-1) & -excess \tn 
% Row Count 10 (+ 1)
% Row 8
\SetRowColor{LightBackground}
Max & 2\textasciicircum{}n-1\textasciicircum{}-1 & 2\textasciicircum{}n\textasciicircum{}-excess-1 \tn 
% Row Count 11 (+ 1)
% Row 9
\SetRowColor{white}
\seqsplit{Zero(s)} & 0, 2\textasciicircum{}n-1\textasciicircum{} & excess \tn 
% Row Count 12 (+ 1)
% Row 10
\SetRowColor{LightBackground}
 & Diminished radix \{\{nl\}\} (r-1)'s complement & Radix \{\{nl\}\} r's complement \tn 
% Row Count 15 (+ 3)
% Row 11
\SetRowColor{white}
Definition\textasciicircum{}{[}2{]}\textasciicircum{} & (r\textasciicircum{}n - 1) - X & r\textasciicircum{}n\textasciicircum{} - X \tn 
% Row Count 18 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{5.377cm}}{ASCII: 1bit parity + 7bit content \newline C string: Should end with '\textbackslash{}0' \newline \textasciicircum{}{[}1{]}\textasciicircum{} overflow if the result is opposite sign of A and B \newline \textasciicircum{}{[}2{]}\textasciicircum{} radix -\textgreater{} base (e.g. 999...99 - X for base-9)}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.64241 cm} x{3.33459 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{MIPS - Assembly}}  \tn
% Row 0
\SetRowColor{LightBackground}
branch/jump labels & Does not count as instn. \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
lw \& sw & Should use offset in multiple of 4 \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Instruction Executed & Initial instn.\{\{nl\}\}+num of loops\{\{nl\}\}~~* loop instn.\{\{nl\}\}+ exit loop instn.\{\{nl\}\}+ end instn. \tn 
% Row Count 9 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{MIPS - Memory}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{32 registers, each 32-bit (4-byte) long} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Each word contains 32 bits (4 bytes)} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Memory addresses are 32-bit long} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{2\textasciicircum{}30\textasciicircum{} memory words\textasciicircum{}{[}1{]}\textasciicircum{}} \tn 
% Row Count 4 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{\textasciicircum{}{[}1{]}\textasciicircum{} Consecutive words differ by 4 bytes}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.24425 cm} x{3.73275 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{MIPS - Encoding}}  \tn
% Row 0
\SetRowColor{LightBackground}
branch & If the branch is {\bf{not taken}}:\{\{nl\}\}~~PC=PC+4\{\{nl\}\}If the branch is {\bf{taken}}:\{\{nl\}\}~~PC=(PC+4)+immd*4 \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
I-format\textasciicircum{}{[}1{]}\textasciicircum{} & 16-bit immd only! \tn 
% Row Count 7 (+ 2)
% Row 2
\SetRowColor{LightBackground}
J-format\textasciicircum{}{[}2{]}\textasciicircum{} & 26-bit target address \tn 
% Row Count 9 (+ 2)
% Row 3
\SetRowColor{white}
 & Max Jump: 256MB \tn 
% Row Count 10 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{\textasciicircum{}{[}1{]}\textasciicircum{} `li` = `lui` upper 16-bit + `ori` lower 16-bit \newline \textasciicircum{}{[}2{]}\textasciicircum{} Actual address: 4-bit PC MSB + 26-bits + 2-bit word-aligned(00)}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{ISA - Design Philosophy}}  \tn
% Row 0
\SetRowColor{LightBackground}
RISC & CISC \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
E.g. x86-32 & E.g. MIPS, ARM \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Single instruction performs complex operation & Small and simple instruction set \tn 
% Row Count 5 (+ 3)
% Row 3
\SetRowColor{white}
Smaller program size as memory was premium & Complex implementation, no room for hardware optimizatio \tn 
% Row Count 8 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Complex implementation, no room for hardware optimizatio & Burden on software to combine simpler operations to implement high-level language statements \tn 
% Row Count 13 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{p{0.45947 cm} x{0.8354 cm} x{1.92142 cm} x{0.96071 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{5.377cm}}{\bf\textcolor{white}{ISA - Data Storage}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{4}{x{5.377cm}}{{\bf{Example for C = A+B}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Stack & \seqsplit{Accumulator} & Register\{\{nl\}\}(load-store) & \seqsplit{Memory-Memory} \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Push A & Load A & Load R1, A & Add C, A, B \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
Push B & Add B & Load R2, B &  \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Add & Store C & Add R3, R1, R2 &  \tn 
% Row Count 8 (+ 1)
% Row 5
\SetRowColor{white}
Pop C &  & Store R3, C &  \tn 
% Row Count 10 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{ISA - Memory Addressing Mode}}  \tn
% Row 0
\SetRowColor{LightBackground}
Big-Endian & Little-Endian \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
MSB stored in lowest address & LSB stored in lowest address \tn 
% Row Count 3 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{{\emph{MIPS is Big-Endian}}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{p{0.59501 cm} x{2.65466 cm} x{1.32733 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{ISA - Operations in Instructions Set}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{5.377cm}}{{\bf{Frequently Used Instructions}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Rank & Instruction & Average \% \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
1 & Load & 22\% \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
2 & Conditional Branch & 20\% \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
3 & Compare & 16\% \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
4 & Store & 12\% \tn 
% Row Count 6 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{5.377cm}}{Amdahl's law – make the common cases fast! \newline If the total time originally: \newline T = (0.7 * t) + (0.3 * t) \newline Decrease common by 50\%, uncommon by 50\% \newline T = (0.7 * 0.5 * t) + (0.3 * 1.5 * t) \newline T = (0.80 * t) -\textgreater{} Faster}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.04517 cm} x{3.93183 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Datapath}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{{\bf{Instruction Execution Cycle}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{1. Fetch} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Use the PC to fetch instn from memory} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Increment PC by 4} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{2. Decode} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Read the `opcode` to determine instruction type} \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Read from all necessary registers} \tn 
% Row Count 7 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{3. Execute} \tn 
% Row Count 8 (+ 1)
% Row 8
\SetRowColor{LightBackground}
\seqsplit{Performs} & - Arithmetic, shifting, logical \tn 
% Row Count 9 (+ 1)
% Row 9
\SetRowColor{white}
 & - Address calculation \tn 
% Row Count 10 (+ 1)
% Row 10
\SetRowColor{LightBackground}
 & - Register comparison \tn 
% Row Count 11 (+ 1)
% Row 11
\SetRowColor{white}
 & - Target address calculation \tn 
% Row Count 12 (+ 1)
% Row 12
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{4. Memory} \tn 
% Row Count 13 (+ 1)
% Row 13
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Use memory address calculated by ALU Stage} \tn 
% Row Count 14 (+ 1)
% Row 14
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Read from or write to data memory} \tn 
% Row Count 15 (+ 1)
% Row 15
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{5. Register Write} \tn 
% Row Count 16 (+ 1)
% Row 16
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Write into registers} \tn 
% Row Count 17 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.28156 cm} x{1.32733 cm} x{1.96811 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Control Path}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Control Signal}} & {\bf{Execution}} & {\bf{Purpose}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
`RegDst` & \seqsplit{Decode/Fetch} & 0: Inst{[}20:16{]}\{\{nl\}\}1: Inst{[}15:11{]} \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
`RegWrite` & Decode/Fetch\{\{nl\}\}/RegWrite & 0: Idle\{\{nl\}\}1: Register write \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
`ALUSrc` & ALU & 0: Register RD 2\{\{nl\}\}1: SignExt(Inst{[}15:0{]}) \tn 
% Row Count 10 (+ 3)
% Row 4
\SetRowColor{LightBackground}
\seqsplit{`ALUcontrol`} & ALU & Select the operation to be performed \tn 
% Row Count 13 (+ 3)
% Row 5
\SetRowColor{white}
`MemRead`\{\{nl\}\}/`MemWrite` & Memory & 0: Idle\{\{nl\}\}1: Performs \tn 
% Row Count 16 (+ 3)
% Row 6
\SetRowColor{LightBackground}
`MemToReg` & RegWrite & 1: Memory RD\{\{nl\}\}0: ALU result \tn 
% Row Count 18 (+ 2)
% Row 7
\SetRowColor{white}
`PCSrc` & Memory\{\{nl\}\}/RegWrite & 0: PC + 4\{\{nl\}\}1: SignExt(Inst{[}15:0{]}) \textless{}\textless{} 2 + (PC + 4) \tn 
% Row Count 22 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.24425 cm} x{3.73275 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{ISA - Instruction}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{{\bf{Fixed Length Instruction Encoding}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Type-A & 2 * 5-bit operands \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Type-B & 1 * 5-bit operand \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Maximum & Maximise Type-B \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
 & 1 + (2\textasciicircum{}6\textasciicircum{} - 1) * 2\textasciicircum{}5\textasciicircum{} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
Minimum & Maximise Type-A \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
 & 2\textasciicircum{}6\textasciicircum{} - 1 + 2\textasciicircum{}5\textasciicircum{} \tn 
% Row Count 7 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}