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\end{Exercise}  \medskip  Let us examine Having deals with the sum, we pass  now to compare  the multiplication of integer numbers integers  and that  of bits. \\  Consider again $2,3,4 \in \ZZ$. We have that   $$(2\cdot 3)\cdot 4 = 6 \cdot 4 =24 =2 \cdot (3\cdot 4) = 2 \cdot 12,$$