deletions | additions       diff --git a/bits2.tex b/bits2.tex  index d14d843..e4aab29 100644  --- a/bits2.tex  +++ b/bits2.tex 
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0 & 0 & 1 & 0 & 1\\  1 & 0 & 1 & 1 & 0\\  \end{tabular}  \caption{$4$ functions}\label{FourFunctions} \caption{All the possible evaluations}\label{FourFunctions}  \end{table}  As an example, if we consider the polynomial $p(x)=x^2+x$, $p(0)=0$ and $p(1)=0$ as in column $2$ of the table; if we take   $q(x)=x^2+x+1$, $q(0)=q(1)=1$ as in the third column. If we take $r(x)=x^3$, we have $r(0)=0$ and $r(1)=1$ as in column four. Finally, if we take $s(x)=x^2+1$ we have $s(0)=1$ and $s(1)=0$, as in the last column of the table.\\  Can you find the four polynomials $p(x),q(x),r(x),s(x)\in \Fb[x]$ \emph{of minimal degree} such that, evaluated in $0,1$ behave exactly as in the corresponding column of the table?  \item Looking at the table \ref{FourFunctions}, decide how many functions $\Fb\rightarrow \Fb$ are there.  \end{enumerate}