During the IEEEtrans.tex, there is a comment below package algorithmic saying that
Do NOT use the algorithm floating environment provided by algorithm.sty (by the same authors) or algorithm2e.sty (by Christophe Fiorio) as IEEE does not use dedicated algorithm float types and packages that provide these will not provide correct IEEE style captions.
How can I make a beautiful box to show the pseudo code while using only the algorithmic package?
You can try something like this:
\documentclass{IEEEtran}
\pagestyle{empty}
\usepackage{algorithmic}
\newsavebox{\ieeealgbox}
\newenvironment{boxedalgorithmic}
{\begin{lrbox}{\ieeealgbox}
\begin{minipage}{\dimexpr\columnwidth-2\fboxsep-2\fboxrule}
\begin{algorithmic}}
{\end{algorithmic}
\end{minipage}
\end{lrbox}\noindent\fbox{\usebox{\ieeealgbox}}}
\begin{document}
\begin{boxedalgorithmic}
\REQUIRE $n \geq 0 \vee x \neq 0$
\ENSURE $y = x^n$
...
\ENDIF
\ENDWHILE
\end{boxedalgorithmic}
\end{document}
Instead of Table, you can use a Figure, in which you can add caption and label.
\begin{figure}
\begin{boxedalgorithmic}
\REQUIRE $n \geq 0 \vee x \neq 0$
\ENSURE $y = x^n$
\STATE $y \leftarrow 1$
\IF{$n < 0$}
\STATE $X \leftarrow 1 / x$
\STATE $N \leftarrow -n$
\ELSE
\STATE $X \leftarrow x$
\STATE $N \leftarrow n$
\ENDIF
\WHILE{$N \neq 0$}
\IF{$N$ is even}
\STATE $X \leftarrow X \times X$
\STATE $N \leftarrow N / 2$
\ELSE[$N$ is odd]
\STATE $y \leftarrow y \times X$
\STATE $N \leftarrow N - 1$
\ENDIF
\ENDWHILE
\end{boxedalgorithmic}
\caption{My algorithm}
\label{myalgo}
\end{figure}
