\documentclass[usenames,dvipsnames]{beamer}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{listings}
\usepackage{dcolumn}
\usepackage{algpseudocode}
\usefonttheme[onlymath]{serif}
\usepackage{amsmath}
\usepackage{booktabs}
\usepackage[justification=centering]{caption}
\usetheme{Madrid}
\newcolumntype{2}{D{.}{}{2.0}}
\begin{document}
\begin{frame}
\frametitle{GF(2)}
The simplest finite field is $GF(2)$. It's arithmetic operation are easily summarized:
\\
\begin{columns}
\setlength{\tabcolsep}{3.5pt}
\noindent
\begin{column}{0.3\linewidth}
\begin{tabular}{r|*{2}{2}}
+ & 0 & 1\\
\hline
0 & 0 & 1\\
1 & 1 & 0\\
\end{tabular}
\captionof{table}{Addition}
\end{column}
\begin{column}{0.3\linewidth}
\begin{tabular}{r|*{2}{2}}
x & 0 & 1\\
\hline
0 & 0 & 0\\
1 & 0 & 1\\
\end{tabular}
\captionof{table}{Multiplication}
\end{column}
\begin{column}{0.3\linewidth}
\begin{tabular}{r|*{2}{2}}
x & 0 & 1\\
\hline
0 & 0 & 0\\
1 & 0 & 1\\
\end{tabular}
\captionof{table}{Inverse}
\end{column}
\end{columns}
\end{frame}
\end{document}
I want to align the tables and their captions. I want to show caption as "addition", "multiplication", "Inverse" without the "Table".


\usepackage[labelformat=empty,justification=centering]{caption}and perhaps add\centeringbefore each\begin{tabular}. (Much simpler than playing with Galois fields... ;-) – Jul 29 '18 at 17:40