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Commit 048f8a1d authored by Jules Saget's avatar Jules Saget
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Finish v1!

parent 0deee8fb
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Makefile
View file @ 048f8a1d
......@@ -43,6 +43,7 @@ tables:
clean:
$(MAKE) -C figures clean
$(MAKE) -C tables clean
rm -f *.bbl
rm -f *.blg
rm -f *.out
......
figures/Makefile
View file @ 048f8a1d
built_figs= comparator.pdf simple_graph_reductions.pdf ski_combinators.pdf 4ph.pdf add-sub.pdf mul.pdf clean.pdf tree.pdf add_fsm.pdf
built_figs= comparator.pdf simple_graph_reductions.pdf ski_combinators.pdf 4ph.pdf add-sub.pdf mul.pdf clean.pdf tree.pdf add_fsm.pdf mul_fsm.pdf
other_figs= andor.png gr_ex_0.pdf gr_ex_1.pdf gr_ex_2.pdf gr_ex_3.pdf gr_ex_4.pdf
figs: $(built_figs) $(other_figs) add_fsm_figs
figs: $(built_figs) $(other_figs) add_fsm_figs mul_fsm_figs
add_fsm_figs:
./generate_add_fsm_highlights.sh
mul_fsm_figs:
./generate_mul_fsm_highlights.sh
%.pdf: %.gv
dot -o$@ -Tpdf $<
clean:
rm -f $(built_figs)
./clean_add_fsm_highlights.sh
./clean_mul_fsm_highlights.sh
figures/add_fsm.gv
View file @ 048f8a1d
......@@ -11,9 +11,9 @@ digraph addsub_FSM {
AB_WRITE;
AB_READ_A;
AB_READ_B;
AB_ADDSUB;
AB_ADD;
AB_ALLOC -> AB_WRITE -> AB_READ_A -> AB_READ_B -> AB_ADDSUB -> AB_ALLOC;
AB_ALLOC -> AB_WRITE -> AB_READ_A -> AB_READ_B -> AB_ADD -> AB_ALLOC;
label = "A unfinished, B unfinished";
}
......@@ -25,9 +25,10 @@ digraph addsub_FSM {
A_ALLOC;
A_WRITE;
A_READ;
A_ADDSUB;
A_ADD;
A_LINK;
A_CHECK -> A_ALLOC -> A_WRITE -> A_READ -> A_ADDSUB -> A_CHECK;
A_CHECK -> A_ALLOC -> A_WRITE -> A_READ -> A_ADD -> A_CHECK;
A_CHECK -> A_LINK;
label = "A unfinished, B finished";
}
......@@ -55,18 +56,19 @@ digraph addsub_FSM {
B_ALLOC;
B_WRITE;
B_READ;
B_ADDSUB;
B_ADD;
B_LINK;
B_CHECK -> B_LINK;
B_CHECK -> B_ALLOC -> B_WRITE -> B_READ -> B_ADDSUB -> B_CHECK;
B_CHECK -> B_ALLOC -> B_WRITE -> B_READ -> B_ADD -> B_CHECK;
label = "A finished, B unfinished";
}
IDLE -> AB_READ_A;
AB_ADDSUB -> A_CHECK;
AB_ADDSUB -> B_CHECK;
AB_ADDSUB -> FINAL_CHECK;
AB_ADD -> A_CHECK;
AB_ADD -> B_CHECK;
AB_ADD -> FINAL_CHECK;
A_LINK -> DONE;
B_LINK -> DONE;
FINAL_LINK -> DONE;
......
figures/clean_add_fsm_highlights.sh
View file @ 048f8a1d
add_fsm_states="idle done ab_read_a ab_read_b ab_add ab_alloc ab_write a_check a_link a_alloc a_write a_read a_addsub b_check b_link b_alloc b_write b_read b_addsub final_check final_link final_alloc final_write final_last_write"
add_fsm_states="idle done ab_read_a ab_read_b ab_add ab_alloc ab_write a_check a_link a_alloc a_write a_read a_add b_check b_link b_alloc b_write b_read b_add final_check final_link final_alloc final_write final_last_write"
for state in $add_fsm_states
do
......
figures/clean_mul_fsm_highlights.sh 0 → 100755
View file @ 048f8a1d
mul_fsm_states="idle done read_a a_loop_check read_b mul b_loop_check ready_res read_res add ready_address alloc write add_loop_check"
for state in $mul_fsm_states
do
rm -f mul_fsm_$state.pdf
rm -f mul_fsm_$state.gv
done
figures/generate_add_fsm_highlights.sh
View file @ 048f8a1d
add_fsm_states="idle done ab_read_a ab_read_b ab_add ab_alloc ab_write a_check a_link a_alloc a_write a_read a_addsub b_check b_link b_alloc b_write b_read b_addsub final_check final_link final_alloc final_write final_last_write"
add_fsm_states="idle done ab_read_a ab_read_b ab_add ab_alloc ab_write a_check a_link a_alloc a_write a_read a_add b_check b_link b_alloc b_write b_read b_add final_check final_link final_alloc final_write final_last_write"
for state in $add_fsm_states
do
......
figures/generate_fig.py
View file @ 048f8a1d
......@@ -3,7 +3,7 @@ import sys
argument_list = sys.argv
def is_target_def(line, target):
return (target in line and ';' in line and "->" not in line)
return (((target+" ") in line or (target+';' in line)) and ';' in line and not ("->" in line or "rank" in line))
def add_color(def_line): # Always add red
if ']' in def_line:
......
figures/generate_mul_fsm_highlights.sh 0 → 100755
View file @ 048f8a1d
mul_fsm_states="idle done read_a a_loop_check read_b mul b_loop_check ready_res read_res add ready_address alloc write add_loop_check"
for state in $mul_fsm_states
do
echo $state
python generate_fig.py mul_fsm $state
make mul_fsm_$state.pdf
done
figures/mul.gv
View file @ 048f8a1d
......@@ -13,7 +13,7 @@ digraph mul_FSM {
color = azure1;
READ_A;
A_LOOP_CHECK [color = invis, fillcolor = lightgrey];
A_LOOP_CHECK [fillcolor = lightgrey];
{ rank = same; READ_A, A_LOOP_CHECK }
......@@ -24,7 +24,7 @@ digraph mul_FSM {
READ_B;
MUL;
B_LOOP_CHECK [color = invis, fillcolor = lightgrey];
B_LOOP_CHECK [fillcolor = lightgrey];
{ rank = same; B_LOOP_CHECK, READ_B, MUL }
......@@ -33,13 +33,13 @@ digraph mul_FSM {
color = azure3;
label = "Add loop";
READY_RES [color=invis, fillcolor = lightgrey];
READY_RES [fillcolor = lightgrey];
READ_RES;
ADD;
READY_ADDRESS [color=invis, fillcolor = lightgrey];
READY_ADDRESS [fillcolor = lightgrey];
ALLOC;
WRITE;
ADD_LOOP_CHECK [color=invis, fillcolor = lightgrey];
ADD_LOOP_CHECK [fillcolor = lightgrey];
{ rank = same; READY_RES, ADD, READY_ADDRESS, WRITE, ADD_LOOP_CHECK }
......
figures/mul_fsm.gv 0 → 120000
View file @ 048f8a1d
mul.gv
\ No newline at end of file
slides.tex
View file @ 048f8a1d
\documentclass{beamer}
\documentclass[table,xcdraw]{beamer}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[english]{babel}
%\usepackage[hidelinks]{hyperref} % Already in beamer
\usepackage{graphicx}
\usepackage{amsmath,amssymb}
\usepackage{multirow}
\usepackage{minted}
\usepackage{graphicx}
\usepackage{url}
%\usepackage[hidelinks]{hyperref}
\newcommand{\urlfootnote}[1]{\footnote{\url{#1}}}
\usepackage{array}
\usepackage{tabularx}
\usepackage{setspace}
\usepackage{csquotes}
\usetheme{CambridgeUS}
\usecolortheme{wolverine}
......@@ -124,8 +139,44 @@
\section[ALU]{Designing the ALU}
\subsection{\emph{“Simple”} units}
\begin{frame}{Logic Unit}
NOT, AND, OR, COND (if then else)\\
\phantom{CO}
\begin{minipage}{0.8\textwidth}
\begin{itemize}
\item<2-5>[NOT] straightforward
\item<3-5>[AND] \texttt{AND A B} is \texttt{FALSE} if \texttt{NOT A} else
\texttt{B}
\item<4-5>[OR] \texttt{OR A B} is \texttt{TRUE} if \texttt{A} else
\texttt{B}
\item<5>[COND] \texttt{COND A B C} is \texttt{B} if \texttt{A} else
\texttt{C}
\end{itemize}
\end{minipage}
\end{frame}
\begin{frame}{Comparator Unit}
Operations: $=$, $\neq$, $\geq$, $>$
\begin{figure}[h]
\centering
\includegraphics[width=\textwidth]{figures/comparator.pdf}
\label{fig:comparator_fsm}
\end{figure}
\end{frame}
\subsection{Addition Unit}
\begin{frame}{Addition FSM}
\begin{figure}[h]
\centering
\includegraphics[width=0.65\textwidth]{figures/add_fsm}
\label{fig:add_fsm}
\end{figure}
\end{frame}
\begin{frame}{1 + 2}
\begin{minipage}{0.34\textwidth}
\texttt{001 + 010}:
......@@ -153,7 +204,7 @@
\end{minipage}
\end{frame}
\begin{frame}{1+3}
\begin{frame}{1 + 3}
\begin{minipage}{0.34\textwidth}
\texttt{001+011}:
\begin{itemize}
......@@ -184,8 +235,168 @@
\end{minipage}
\end{frame}
\begin{frame}{Final example: -34 + 2}
\begin{minipage}{0.34\textwidth}
\texttt{111·011·110 + 010}
\begin{itemize}
\item<2-12> Read \texttt{A} and \texttt{B}, and add them: \texttt{000}
\item<5-12> Go into A mode: there is a carry!
\item<6-12> Allocate then write: \texttt{·000}
\item<8-12> Read \texttt{A}, propagate carry: \texttt{100}
\item<10-12> Second check: nothing left to do!
\item<11-12> Write the result to memory, \texttt{111·100}
\item<12> Done!
\end{itemize}
\end{minipage}
\begin{minipage}{0.65\textwidth}
\begin{figure}[h]
\centering
\only<1>{\includegraphics[width=\textwidth]{figures/add_fsm_idle.pdf}}
\only<2>{\includegraphics[width=\textwidth]{figures/add_fsm_ab_read_a.pdf}}
\only<3>{\includegraphics[width=\textwidth]{figures/add_fsm_ab_read_b.pdf}}
\only<4>{\includegraphics[width=\textwidth]{figures/add_fsm_ab_add.pdf}}
\only<5>{\includegraphics[width=\textwidth]{figures/add_fsm_a_check.pdf}}
\only<6>{\includegraphics[width=\textwidth]{figures/add_fsm_a_alloc.pdf}}
\only<7>{\includegraphics[width=\textwidth]{figures/add_fsm_a_write.pdf}}
\only<8>{\includegraphics[width=\textwidth]{figures/add_fsm_a_read.pdf}}
\only<9>{\includegraphics[width=\textwidth]{figures/add_fsm_a_add.pdf}}
\only<10>{\includegraphics[width=\textwidth]{figures/add_fsm_a_check.pdf}}
\only<11>{\includegraphics[width=\textwidth]{figures/add_fsm_a_link.pdf}}
\only<12>{\includegraphics[width=\textwidth]{figures/add_fsm_done.pdf}}
\label{fig:add_ex_3}
\end{figure}
\end{minipage}
\end{frame}
\subsubsection{Subtraction}
\begin{frame}{A small word on subtraction}
\centering
\Huge
\texttt{A - B = A + (-B)}
\end{frame}
\subsection{Multiplication Unit}
\begin{frame}{Multiplcation FSM}
\begin{figure}[h]
\centering
\includegraphics[width=\textwidth]{figures/mul_fsm.pdf}
\label{fig:mul_fsm}
\end{figure}
\end{frame}
%\begin{frame}{Example : $23 * 31$}
% \begin{figure}[h]
% \centering
% \only<1>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_idle.pdf}}
% \only<2>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_a.pdf}}
% \only<3>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_b.pdf}}
% \only<4>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_mul.pdf}}
% \only<5>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<6>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<7>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<8>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_alloc.pdf}}
% \only<9>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<10>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<11>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<12>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<13>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<14>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_alloc.pdf}}
% \only<15>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<16>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<17>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_b_loop_check.pdf}}
% \only<18>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_b.pdf}}
% \only<19>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_mul.pdf}}
% \only<20>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<21>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_res.pdf}}
% \only<22>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<23>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<24>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<25>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<26>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<27>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<28>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<29>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_alloc.pdf}}
% \only<30>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<31>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<32>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_b_loop_check.pdf}}
% \only<33>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_a_loop_check.pdf}}
% \only<34>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_a.pdf}}
% \only<35>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_b.pdf}}
% \only<36>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_mul.pdf}}
% \only<37>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<38>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_res.pdf}}
% \only<39>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<40>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<41>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<42>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<43>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<44>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_res.pdf}}
% \only<45>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<46>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<47>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<48>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<49>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_b_loop_check.pdf}}
% \only<50>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_b.pdf}}
% \only<51>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_mul.pdf}}
% \only<52>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<53>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_read_res.pdf}}
% \only<54>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<55>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<56>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<57>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<58>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_res.pdf}}
% \only<59>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add.pdf}}
% \only<60>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_ready_address.pdf}}
% \only<61>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_write.pdf}}
% \only<62>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_add_loop_check.pdf}}
% \only<63>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_b_loop_check.pdf}}
% \only<64>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_a_loop_check.pdf}}
% \only<65>{\includegraphics[width=0.8\textwidth]{figures/mul_fsm_done.pdf}}
% \label{fig:mul_ex}
% \end{figure}
% \def\oldtabcolsep{\tabcolsep}
% \setlength{\tabcolsep}{4pt}
% \tiny
% \only<1>{\input{tables/mul_2by2_0.tex}}
% \only<2>{\input{tables/mul_2by2_0.tex}}
% \only<3>{\input{tables/mul_2by2_0.tex}}
% \only<4-5>{\input{tables/mul_2by2_1.tex}}
% \only<6-7>{\input{tables/mul_2by2_2.tex}}
% \only<8>{\input{tables/mul_2by2_3.tex}}
% \only<9-11>{\input{tables/mul_2by2_4.tex}}
% \only<12-13>{\input{tables/mul_2by2_5.tex}}
% \only<14>{\input{tables/mul_2by2_6.tex}}
% \only<15-17>{\input{tables/mul_2by2_7.tex}}
% \only<18>{\input{tables/mul_2by2_8.tex}}
% \only<19-20>{\input{tables/mul_2by2_9.tex}}
% \only<21>{\input{tables/mul_2by2_10.tex}}
% \only<22-23>{\input{tables/mul_2by2_11.tex}}
% \only<24-26>{\input{tables/mul_2by2_12.tex}}
% \only<27-28>{\input{tables/mul_2by2_13.tex}}
% \only<29>{\input{tables/mul_2by2_14.tex}}
% \only<30-33>{\input{tables/mul_2by2_15.tex}}
% \only<34>{\input{tables/mul_2by2_16.tex}}
% \only<35>{\input{tables/mul_2by2_17.tex}}
% \only<36-37>{\input{tables/mul_2by2_18.tex}}
% \only<38>{\input{tables/mul_2by2_19.tex}}
% \only<39-40>{\input{tables/mul_2by2_20.tex}}
% \only<41-43>{\input{tables/mul_2by2_21.tex}}
% \only<44>{\input{tables/mul_2by2_22.tex}}
% \only<45-46>{\input{tables/mul_2by2_23.tex}}
% \only<47-49>{\input{tables/mul_2by2_24.tex}}
% \only<50>{\input{tables/mul_2by2_25.tex}}
% \only<51-52>{\input{tables/mul_2by2_26.tex}}
% \only<53>{\input{tables/mul_2by2_27.tex}}
% \only<54-55>{\input{tables/mul_2by2_28.tex}}
% \only<56-58>{\input{tables/mul_2by2_29.tex}}
% \only<59-60>{\input{tables/mul_2by2_30.tex}}
% \only<61-64>{\input{tables/mul_2by2_31.tex}}
% \only<65>{\input{tables/mul_2by2_32.tex}}
% \setlength{\tabcolsep}{\oldtabcolsep}
%\end{frame}
\section*{}
\begin{frame}
......
tables/Makefile
View file @ 048f8a1d
tables: arith_2cpl.tex arith_ex_clean.tex arith_ex_gonewrong.tex arith_ex_simple.tex mul_2by2.tex
tables: mul_exs arith_2cpl.tex arith_ex_clean.tex arith_ex_gonewrong.tex arith_ex_simple.tex
mul_exs: mul_2by2.tex
#python diapize.py
clean:
rm -f mul_2by2_*.tex
tables/diapize.py 0 → 100644
View file @ 048f8a1d
import sys
number_of_lines = 5
start_tokens = ["\\begin", "\\centering", "multi", "size"]
start_lines = []
end_tokens = ["\\end", "\\caption", "\\label"]
end_lines = []
base_file_name = "mul_2by2"
extension = ".tex"
filenum = 0
out_files = []
base_file = open(base_file_name + extension, "rt")
def has_a_member(test_list, source):
if test_list == []:
return False
else:
elt = test_list[-1]
if elt in source:
return True
else:
return (has_a_member(test_list[:-1], source))
n = 0
for line in base_file:
if has_a_member(start_tokens, line):
start_lines.append(line)
elif has_a_member(end_tokens, line):
end_lines.append(line)
else:
new_out_file = open(base_file_name+'_'+str(filenum)+extension,"wt")
filenum+=1
for sl in start_lines:
new_out_file.write(sl)
out_files.append(new_out_file)
if n < number_of_lines:
n += 1
for out_file in out_files[-n:]:
out_file.write(line)
base_file.close()
for out_file in out_files:
for el in end_lines:
out_file.write(el)
out_file.close()
tables/mul_2by2.tex
View file @ 048f8a1d
% Please add the following required packages to your document preamble:
% \usepackage{multirow}
% \usepackage[table,xcdraw]{xcolor}
% If you use beamer only pass "xcolor=table" option, i.e. \documentclass[xcolor=table]{beamer}
\begin{table}[ht]
\footnotesize
\centering
\begin{tabular}{l|rr|rr|rr|rrcrc|rrrr}
& \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{5}{c|}{ADD} & \multicolumn{4}{c}{} \\
& \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{3}{c}{inputs} & \multicolumn{2}{c|}{outputs} & \multicolumn{4}{c}{} \\
\multicolumn{1}{c|}{\multirow{-3}{*}{State}} & \multicolumn{2}{c|}{\multirow{-3}{*}{A}} & \multicolumn{2}{c|}{\multirow{-3}{*}{B}} & \multicolumn{2}{c|}{\multirow{-3}{*}{MUL}} & in1 & in2 & c & res & c & \multicolumn{4}{c}{\multirow{-3}{*}{Result}} \\ \hline
IDLE & 010 & ·111 & 011 & 111 & & & & & & & & \textit{} & & & \\
\rowcolor[HTML]{EFEFEF}
READ\_A & 010 & \textbf{·111} & 011 & 111 & & & & & & & & \textit{} & & & \\
\rowcolor[HTML]{EFEFEF} READ\_A & 010 & \textbf{·111} & 011 & 111 & & & & & & & & \textit{} & & & \\
READ\_B & 010 & \textbf{·111} & 011 & \textbf{111} & & & & & & & & \textit{} & & & \\
\rowcolor[HTML]{EFEFEF}
MUL & 010 & \textbf{·111} & 011 & \textbf{111} & 110 & 001 & & & & & & \textit{} & & & \\
\rowcolor[HTML]{EFEFEF} MUL & 010 & \textbf{·111} & 011 & \textbf{111} & 110 & 001 & & & & & & \textit{} & & & \\
ADD & 010 & \textbf{·111} & 011 & \textbf{111} & & & 001 & 000 & 0 & 001 & 0 & & & & \\
\rowcolor[HTML]{EFEFEF}
ALLOC & 010 & \textbf{·111} & 011 & \textbf{111} & & & & & & & & & & & \\
\rowcolor[HTML]{EFEFEF} ALLOC & 010 & \textbf{·111} & 011 & \textbf{111} & & & & & & & & & & & \\
WRITE & 010 & \textbf{·111} & 011 & \textbf{111} & & & & & & & & & & & \textit{·001} \\
\rowcolor[HTML]{EFEFEF}
ADD & 010 & \textbf{·111} & 011 & \textbf{111} & & & 110 & 000 & 0 & 110 & 0 & & & & \textit{·001} \\
\rowcolor[HTML]{EFEFEF} ADD & 010 & \textbf{·111} & 011 & \textbf{111} & & & 110 & 000 & 0 & 110 & 0 & & & & \textit{·001} \\
ALLOC & 010 & \textbf{·111} & 011 & \textbf{111} & & & & & & & & & & & \textit{·001} \\
\rowcolor[HTML]{EFEFEF}
WRITE & 010 & \textbf{·111} & 011 & \textbf{111} & & & & & & & & & & \textit{·110} & ·001 \\
\rowcolor[HTML]{EFEFEF} WRITE & 010 & \textbf{·111} & 011 & \textbf{111} & & & & & & & & & & \textit{·110} & ·001 \\
READ\_B & 010 & \textbf{·111} & \textbf{011} & 111 & & & & & & & & & & \textit{·110} & ·001 \\
\rowcolor[HTML]{EFEFEF}
MUL & 010 & \textbf{·111} & \textbf{011} & 111 & 010 & 101 & & & & & & & & \textit{·110} & ·001 \\
\rowcolor[HTML]{EFEFEF} MUL & 010 & \textbf{·111} & \textbf{011} & 111 & 010 & 101 & & & & & & & & \textit{·110} & ·001 \\
READ\_RES & 010 & \textbf{·111} & \textbf{011} & 111 & & & & & & & & \textbf{} & & \textit{\textbf{·110}} & ·001 \\
\rowcolor[HTML]{EFEFEF}
ADD & 010 & \textbf{·111} & \textbf{011} & 111 & & & 101 & 110 & 0 & 011 & 1 & \textbf{} & & \textit{\textbf{·110}} & ·001 \\
\rowcolor[HTML]{EFEFEF} ADD & 010 & \textbf{·111} & \textbf{011} & 111 & & & 101 & 110 & 0 & 011 & 1 & \textbf{} & & \textit{\textbf{·110}} & ·001 \\
WRITE & 010 & \textbf{·111} & \textbf{011} & 111 & & & & & & & & & & \textit{·011} & ·001 \\
\rowcolor[HTML]{EFEFEF}
ADD & 010 & \textbf{·111} & \textbf{011} & 111 & & & 010 & 000 & 1 & 011 & 0 & & & \textit{·011} & ·001 \\
\rowcolor[HTML]{EFEFEF} ADD & 010 & \textbf{·111} & \textbf{011} & 111 & & & 010 & 000 & 1 & 011 & 0 & & & \textit{·011} & ·001 \\
ALLOC & 010 & \textbf{·111} & \textbf{011} & 111 & & & & & & & & & & \textit{·011} & ·001 \\
\rowcolor[HTML]{EFEFEF}
WRITE & 010 & \textbf{·111} & \textbf{011} & 111 & & & & & & & & & \textit{·011} & ·011 & ·001 \\
\rowcolor[HTML]{EFEFEF} WRITE & 010 & \textbf{·111} & \textbf{011} & 111 & & & & & & & & & \textit{·011} & ·011 & ·001 \\
READ\_A & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & & \textit{·011} & ·011 & ·001 \\
\rowcolor[HTML]{EFEFEF}
READ\_B & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & & \textit{·011} & ·011 & ·001 \\
\rowcolor[HTML]{EFEFEF} READ\_B & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & & \textit{·011} & ·011 & ·001 \\
MUL & \textbf{010} & ·111 & 011 & \textbf{111} & 001 & 110 & & & & & & & \textit{·011} & ·011 & ·001 \\
\rowcolor[HTML]{EFEFEF}
READ\_RES & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & \textbf{} & \textit{·011} & \textbf{·011} & ·001 \\
\rowcolor[HTML]{EFEFEF} READ\_RES & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & \textbf{} & \textit{·011} & \textbf{·011} & ·001 \\
ADD & \textbf{010} & ·111 & 011 & \textbf{111} & & & 110 & 011 & 0 & 001 & 1 & \textbf{} & \textit{·011} & \textbf{·011} & ·001 \\
\rowcolor[HTML]{EFEFEF}
WRITE & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & & ·011 & \textit{·001} & ·001 \\
\rowcolor[HTML]{EFEFEF} WRITE & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & & ·011 & \textit{·001} & ·001 \\
READ\_RES & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & \textbf{} & \textbf{·011} & \textit{·001} & ·001 \\
\rowcolor[HTML]{EFEFEF}
ADD & \textbf{010} & ·111 & 011 & \textbf{111} & & & 001 & 011 & 1 & 101 & 0 & \textbf{} & \textbf{·011} & \textit{·001} & ·001 \\
\rowcolor[HTML]{EFEFEF} ADD & \textbf{010} & ·111 & 011 & \textbf{111} & & & 001 & 011 & 1 & 101 & 0 & \textbf{} & \textbf{·011} & \textit{·001} & ·001 \\
WRITE & \textbf{010} & ·111 & 011 & \textbf{111} & & & & & & & & & \textit{·101} & ·001 & ·001 \\
\rowcolor[HTML]{EFEFEF}
READ\_B & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & & \textit{·101} & ·001 & ·001 \\
\rowcolor[HTML]{EFEFEF} READ\_B & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & & \textit{·101} & ·001 & ·001 \\
MUL & \textbf{010} & ·111 & \textbf{011} & 111 & 000 & 110 & & & & & & & \textit{·101} & ·001 & ·001 \\
\rowcolor[HTML]{EFEFEF}
READ\_RES & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textbf{} & \textit{\textbf{·101}} & ·001 & ·001 \\
\rowcolor[HTML]{EFEFEF} READ\_RES & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textbf{} & \textit{\textbf{·101}} & ·001 & ·001 \\
ADD & \textbf{010} & ·111 & \textbf{011} & 111 & & & 110 & 101 & 0 & 011 & 1 & & \textit{\textbf{·101}} & ·001 & ·001 \\
\rowcolor[HTML]{EFEFEF}
WRITE & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textbf{} & \textit{·011} & ·001 & ·001 \\
\rowcolor[HTML]{EFEFEF} WRITE & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textbf{} & \textit{·011} & ·001 & ·001 \\
ADD & \textbf{010} & ·111 & \textbf{011} & 111 & & & 000 & 000 & 1 & 001 & 0 & & \textit{·011} & ·001 & ·001 \\
\rowcolor[HTML]{EFEFEF}
WRITE & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textit{001} & \cellcolor[HTML]{EFEFEF}·011 & ·001 & ·001 \\
DONE & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textit{001} & ·011 & ·001 & ·001
\rowcolor[HTML]{EFEFEF} WRITE & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textit{001} & ·011 & ·001 & ·001 \\
DONE & \textbf{010} & ·111 & \textbf{011} & 111 & & & & & & & & \textit{001} & ·011 & ·001 & ·001 \\
\phantom{READ\_RES} & \phantom{000} & \phantom{·000} & \phantom{000} & \phantom{·000} & \phantom{000} & \phantom{000} & \phantom{000} & \phantom{000} & \phantom{0} & \phantom{000} & \phantom{0} & \phantom{000} & \phantom{·000} & \phantom{·000} & \phantom{·000} %\end
\end{tabular}
\caption{Example of multiplication}
\label{tab:mul_2by2}
......
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