How to show work on binary number addition/conversion

Question

I'm doing various operations with binary numbers for my Discrete Mathematics hw and I'm not quite sure how to render it because I need to show my work.

This is an image of something I've been trying to show:

I am also trying to add and multiply numbers and show work. I appreciate all of your help!

Answer 1

There are probably lots of different ways of doing this- the solution below uses a simple array environment.

The only subtle thing is that I've used the optional [t] argument to specify the vertical alignment. I've also used the enumitem to format the enumerate environment to have roman numbers (some might call it overkill).

MWE

\documentclass{article}
\usepackage{enumitem}   % for customizing list environments
\begin{document}

\begin{enumerate}[label*=\roman*.]
  \item $\begin{array}[t]{r}
        2012\\
        -1024\\\hline
        988\\
        -512\\\hline
        476\\
        -256\\\hline
        220\\
        -128\\\hline
        92\\
        -64\\\hline
        28\\
        -16\\\hline
        12
      \end{array}$
    \item $\begin{array}[t]{c|c|c|c}
        11  &   111 &   011 &   100 \\
        3   &   7   &   3   &   4
      \end{array}$
\end{enumerate}
\end{document}

Putting two such calculations side by side

Following the comment, there are lots of ways to put two such arrays side by side. You could use a minipage, but that might require some width calculations, so an easy solution is to use a tabular and then nest the arrays inside

\documentclass{article}
\usepackage{enumitem}   % for customizing list environments
\begin{document}

\begin{enumerate}[label*=\roman*.]
  \item \begin{tabular}[t]{ll}
        $\begin{array}[t]{r}
        2012\\
        -1024\\\hline
        988\\
        -512\\\hline
        476\\
        -256\\\hline
        220\\
        -128\\\hline
        92\\
        -64\\\hline
        28\\
        -16\\\hline
        12
      \end{array}$
      &
        $\begin{array}[t]{r}
        2012\\
        -1024\\\hline
        988\\
        -512\\\hline
        476\\
        -256\\\hline
        220\\
        -128\\\hline
        92\\
        -64\\\hline
        28\\
        -16\\\hline
        12
      \end{array}$
    \end{tabular}
    \item $\begin{array}[t]{c|c|c|c}
        11  &   111 &   011 &   100 \\
        3   &   7   &   3   &   4
      \end{array}$
\end{enumerate}
\end{document}

Or, you might prefer to use the aligned environment from the amsmath package; the output is the same as the tabular solution, but it might give you an advantage with 'global' alignment if you have a lot of these calculations- take your pick :)

  \item $\begin{aligned}[t]
        \begin{array}[t]{r}
        2012\\
        -1024\\\hline
        988\\
        -512\\\hline
        476\\
        -256\\\hline
        220\\
        -128\\\hline
        92\\
        -64\\\hline
        28\\
        -16\\\hline
        12
      \end{array}
      & &
        \begin{array}[t]{r}
        2012\\
        -1024\\\hline
        988\\
        -512\\\hline
        476\\
        -256\\\hline
        220\\
        -128\\\hline
        92\\
        -64\\\hline
        28\\
        -16\\\hline
        12
      \end{array}
    \end{aligned}$