I would like to annotate a table with an arrow along the right side representing (in this case) decreasing operator precedence for a computer language. I am familiar with the other solution listed here, which involves placing the entire table in math mode, but I'd like to have a bit more control over the formatting of the text and arrow, as well as perhaps have a nice colored tikz arrow with the text inside of it.
My current example uses math mode inside of a /rotatebox, but the arrow is not column height, as I would like.
\documentclass[10pt]{article}
\usepackage[portrait, margin=0.25in]{geometry}
\usepackage{inconsolata}
\usepackage[T1]{fontenc}
\renewcommand*\familydefault{\ttdefault}
\usepackage[fleqn]{amsmath}
\usepackage{booktabs}
\usepackage{multirow}
\begin{document}
\begin{tabular}{@{}l|llllllll@{}}
Unary & + & - & \textasciicircum &&&&&\multirow{6}*{\rotatebox[origin=c]{270}{$\underrightarrow{precedence}$}}\\
Multiplication & * & / & \% & << & >> & \& & \&\textasciicircum&\\
Addition & + & - & | & \textasciicircum &&&&\\
Comparison & == & != & < & <= & > & >= &&\\
Logical & \&\& &&&&&&&\\
& || &&&&&&&
\end{tabular}
\end{document}