State Transition Diagram (TikZ)

\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{automata, positioning, arrows, calc}
\tikzset{
->, % makes the edges directed
>=stealth, % makes the arrow heads bold
shorten >=2pt, shorten <=2pt, % shorten the arrow
node distance=3cm, % specifies the minimum distance between two nodes. Change if n
every state/.style={draw=blue!55,very thick,fill=blue!20}, % sets the properties for each ’state’ n
initial text=$ $, % sets the text that appears on the start arrow
}
\begin{document}
\begin{tikzpicture}
\node[state, initial] (s0) {$S_0$};
\node[state, right of=s0] (s1) {$S_1$};
\node[state, right of=s1] (s2) {$S_2$};
\node[state, right of=s2] (s3) {$S_3$};
\node[state, right of=s3] (s4) {$S_4$};
\draw (s0) edge[loop above] node{$0,0$} (s0)
(s0) edge[bend left] node[above]{$1,0$} (s1)
%
(s1) edge[bend left] node[above]{$0,0$} (s2)
(s1) edge[bend left] node[above]{$1,0$} (s0)
%
(s2) edge[bend left] node[above]{$0,0$} (s3)
(s2) edge[bend left=40] node[above]{$1,0$} (s0)
%
(s3) edge[bend left=50] node[above]{$0,0$} (s0)
(s3) edge[bend left] node[above]{$1,0$} (s4)
%
(s4) edge[bend right=50] node[above]{$0,1$} (s0)
(s4) edge[bend left=60] node[above]{$1,0$} (s0)
;
\end{tikzpicture}
\end{document}