write equations into a 2 column table with left column showing the left side of the equation and right column showing the right side of the equation

Question

I am writing a 2 column paper and I would like to organize my formulas into a table with 2 columns with the cells of the left column containing the left side of the equation and the cells in the right column containing the right side of the equation.
I would like to achieve this with the right side of each equation inside each of the cells of the right columns.

Here is what my equations currently look like:

Here is the source code I am using:
    documentclass[sigconf]{acmart}

usepackage{booktabs} % For formal tables
usepackage{algorithmic}
usepackage{fixltx2e}
usepackage{algorithm}
usepackage{enumitem}
usepackage{multirow}
usepackage{hhline}
usepackage{amsmath}
usepackage{lmodern}
usepackage[T1]{fontenc}

newcommandvn[1]{mathit{#1}} % or: mathrm{#1}
newcommandOr{mathrel{bigVert}}

setcopyright{acmcopyright}

% DOI
acmDOI{xx.xxx/xxx_x}

% ISBN
acmISBN{978-1-4503-8104-8/21/03}

%Conference
acmConference[SAC'21]{ACM SAC Conference}{March 22-March 26, 2021}{Gwangju, South Korea}
acmYear{2021}
copyrightyear{2021}

%thispagestyle{plain}

acmArticle{4}
acmPrice{15.00}

pagestyle{plain}
settopmatter{printfolios=true}
begin{document}

title{test}

author{Anonymous Author(s)}

begin{abstract}
abstract

end{abstract}

maketitle

begin{gather*}
vn{NoCallersU} + vn{NoCalleesU}
=vn{Callers}^{vn{N}} 
  And vn{Callees}^{vn{N}} [1ex]
begin{aligned}
vn{Low}&vn{Combination} 
&=bigl(vn{Callers}^{vn{L}} And bigl(vn{Callees}^{vn{L}} 
  Or vn{Callees}^{vn{N}})bigr)bigr) 
&quad Orbigl( vn{Callers}^{vn{N}} And vn{Callees}^{vn{L}} bigr) [1ex]
vn{Medium}&vn{Combination}
&=bigl(vn{Callers}^{vn{M}}Andbigl(vn{Callees}^{vn{M}}  
&quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
&quad Or bigl(( vn{Callers}^{vn{N}} Or bigl(vn{Callers}^{vn{L}} ) 
 And vn{Callees}^{vn{M}}bigr)bigr)[1ex]
vn{High}&vn{Combination}
&=bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{H}} Orvn{Callees}^{vn{M}}  
&quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
&quadOr bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{M}}  
&quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}) bigr)bigr)
end{aligned}
end{gather*}

end{document}

Zarko · Answer

Like this?

For this you not need a table, Just use align* math environment defined in the amsmathpackage:
documentclass[sigconf]{acmart}
%usepackage{booktabs, hhline, multirow} % For formal tables
%usepackage{algorithmic}
%usepackage{fixltx2e}
%usepackage{algorithm}
%usepackage{enumitem}
usepackage{amsmath}
usepackage{lmodern}
usepackage[T1]{fontenc}

newcommandvn[1]{mathit{#1}} % or: mathrm{#1}
newcommandOr{mathrel{bigVert}}

begin{document}

begin{align*}
vn{NoCallersU} + vn{NoCalleesU}
    & = vn{Callers}^{vn{N}} And vn{Callees}^{vn{N}} [1ex]
%
vn{Low}vn{Combination} 
    & = bigl(vn{Callers}^{vn{L}} And bigl(vn{Callees}^{vn{L}}
        Or vn{Callees}^{vn{N}})bigr)bigr) 
    &quad Orbigl( vn{Callers}^{vn{N}} And vn{Callees}^{vn{L}} bigr) [1ex]
%
vn{Medium}vn{Combination}
    & = bigl(vn{Callers}^{vn{M}}Andbigl(vn{Callees}^{vn{M}} 
    &quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
    &quad Or bigl(( vn{Callers}^{vn{N}} Or bigl(vn{Callers}^{vn{L}} ) And vn{Callees}^{vn{M}}bigr)bigr)[1ex]
%
vn{High}vn{Combination}
    & = bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{H}} Orvn{Callees}^{vn{M}} 
    &quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
    &quadOr bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{M}} 
    &quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}) bigr)bigr)
end{align*}

end{document}

Edit (1):
In two column document you equation in form as is, is to wide that can be fit in one column, You need to reorganize it for example as follows:
[
begin{aligned}
vn{NoCallersU} + vn{NoCalleesU}
    & = vn{Callers}^{vn{N}} And vn{Callees}^{vn{N}} [1ex]
%
vn{Low}vn{Combination} 
    & = bigl(vn{Callers}^{vn{L}} And bigl(vn{Callees}^{vn{L}}
    &quad Or vn{Callees}^{vn{N}})bigr)bigr) 
    &quad Orbigl( vn{Callers}^{vn{N}} And vn{Callees}^{vn{L}} bigr) [1ex]
%
vn{Medium}vn{Combination}
    & = bigl(vn{Callers}^{vn{M}}Andbigl(vn{Callees}^{vn{M}} 
    &quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
    &quad Or bigl(( vn{Callers}^{vn{N}} Or bigl(vn{Callers}^{vn{L}} ) 
    &quadAnd vn{Callees}^{vn{M}}bigr)bigr)[1ex]
%
vn{High}vn{Combination}
    & = bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{H}} 
    &quad Orvn{Callees}^{vn{M}} 
    &quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
    &quadOr bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{M}} 
    &quad Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}) bigr)bigr)
end{aligned}
]

Edit (2):
After your editing of question, the desired presentation of your equation can be as:

[
begin{array}{|l|l|}
hline
text{combination}
    &  text{definition}    
hline
vn{NoCallersU} + vn{NoCalleesU}
    & vn{Callers}^{vn{N}} And vn{Callees}^{vn{N}} [1ex]
hline
vn{Low}vn{Combination} 
    & bigl(vn{Callers}^{vn{L}} And bigl(vn{Callees}^{vn{L}}
    & Or vn{Callees}^{vn{N}})bigr)bigr) 
    & Orbigl( vn{Callers}^{vn{N}} And vn{Callees}^{vn{L}} bigr) [1ex]
hline
vn{Medium}vn{Combination}
    & bigl(vn{Callers}^{vn{M}}Andbigl(vn{Callees}^{vn{M}} 
    & Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
    & Or bigl(( vn{Callers}^{vn{N}} Or bigl(vn{Callers}^{vn{L}} ) 
    &quadAnd vn{Callees}^{vn{M}}bigr)bigr)[1ex]
hline
vn{High}vn{Combination}
    & bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{H}} 
    & Orvn{Callees}^{vn{M}} 
    & Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}bigr) bigr) 
    & Or bigl(vn{Callers}^{vn{H}}Andbigl(vn{Callees}^{vn{M}} 
    & Or vn{Callees}^{vn{L}}  Or vn{Callees}^{vn{N}}) bigr)bigr) 
hline
end{array}
]

Note, your MWE still produce one column document (not two column as you mentioned in comment). Please, clarify this par of your question too.

write equations into a 2 column table with left column showing the left side of the equation and right column showing the right side of the equation

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