\documentclass[11pt]{article}
\usepackage{amssymb,amsmath,amscd,concmath}
% we can define whatever comments we would like to use for consistency.
% of course we have to somewhere list this special commands (may be we can use
% a pop up with editiing help or somkething similar

\newcommand{\rs}{\ensuremath{\gg}} %right shift >>
\newcommand{\ls}{\ensuremath{\ll}} %left shift <<
\newcommand{\rr}{\ensuremath{\ggg}}  %right rotate >>>
\newcommand{\lr}{\ensuremath{\lll}}  %left rotate <<<
\newcommand{\hex}[1]{\texttt{#1}}
\pagestyle{empty}
\begin{document}
%this ia a comment within the body
%originally value was within begin/end equation 

\begin{eqnarray*}
f_{if}(B,C,D) &=& (B\wedge C) \oplus (\neg B\wedge D) \\
f_{maj}(B,C,D) &=& (B\wedge C) \oplus (B\wedge D) \oplus (C\wedge D)\\
f_{xor}(B,C,D) &=& B \oplus C \oplus D
\end{eqnarray*}

\end{document}