3

I need to represent binary modulo 2 long division in my tex document. Notation needed is same as

https://en.wikipedia.org/wiki/Long_division#Eurasia

under Austria, Germany, etc.

I know about longdiv package, but it doesn't seem to support this.

Is there any package to achieve this? If not, how can I manually do this.

Thanks in advance

TexUser
  • 31
  • 2
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    You can manually draw it using TikZ, but it is a bit painful, and very time-consuming if you have a lot of such divisions. –  Mar 26 '19 at 14:49
  • Related: https://tex.stackexchange.com/questions/460117/other-kind-long-division-help – Steven B. Segletes Mar 26 '19 at 15:08

2 Answers2

6

The fresh new version of longdivision package v. 1.1.0 has almost the desired output you want, with the new german style. As TeXlive 2018 is currently frozen, you cannot use textlive utility for updating this package, but simply download the longdivision.sty file from here and add it in your local texmf directory or in place it along with your .tex file in the same directory.

\documentclass{article}
\usepackage{longdivision}
\begin{document}
    \longdivision[style=german]{127}{4} 
\end{document}

enter image description here

The differences with the output from Wikipedia are :

  • no negative sign displayed for the subtraction operation
  • dots instead of comma for the decimal separator

The documentation show a command \longdivdefinestyle for modifying the display of the output, but I'm not yet able to add a negative sign for the operation, nor suppress the dots.

quark67
  • 4,166
3

The German style?? as depicted here:

enter image description here

\documentclass[12pt]{article}
\usepackage{mathtools}
\usepackage[TABcline]{tabstackengine}
\TABstackMath
\begin{document}
\tabbedShortunderstack[r]{
 &12&7& & &:\ 4\ =\ 31.75\\
-&12& & & &\\
\TABcline{2}
 & 0&7& & &\\
 & -&4& & &\\
\TABcline{3}
 &  &3&0& &\\
 & -&2&8& &\\
\TABcline{3-4}
 &  & &2&0&\\
 &  &\mathllap{-}&2&0&\\
\TABcline{4-5}
 &  & & &0&
}
\end{document}

enter image description here

Here, I emulate the Cyprus/France version cited in the OP's link

enter image description here

\documentclass[12pt]{article}
\usepackage[TABcline]{tabstackengine}
\TABstackMath
\begin{document}
\begin{tabular}{r@{}|@{}l}
\tabbedShortunderstack[r]{
 63&5&9\\
-51& &\\
\TABcline{1}
 12&5&\\
-11&9&\\
\TABcline{1-2}
   &6&9\\
  -&6&8\\
\TABcline{2-3}
   & &1
}
&
\tabbedShortunderstack[l]{
17&\\
\TABcline{1-2}
37&4
}
\end{tabular}

\end{document}

enter image description here

Steven B. Segletes
  • 237,551