deletions | additions       diff --git a/bits1.tex b/bits1.tex  index bf219c7..4706b6c 100644  --- a/bits1.tex  +++ b/bits1.tex 
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Indeed, with this different notation we mean that we can perform operations on bits.   More precisely, we want to introduce two operations, \emph{sum} and \emph{multiplication}, retaining some  similarity with the usual operations of sum and product for numbers.  The numbers we are interested in are naturals, integers,  which we collect in a set called $\NN=\{0,1,2, \ldots\}$, $\ZZ=\{ \ldots,-1,0,1,2, \ldots\}$,non-negative  integers, which we collect in a set called $\ZZ=\{ \ldots,-1,0,1,2, $\NN=\{0,1,2,  \ldots\}$, and rational numbers, which we collect in a set called $\QQ=\{ \ldots,\frac{-5}{101}, 0, \frac{1}{2},3,\ldots\}$. \\  Since $\Fb$ is so small, we can use the following table to show how to sum and multiply bits.