Addition Modulo N

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Formal Definition

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Informal Definition

The result of the operation modulo $n$ on an addition operation is the remainder when the result of the addition operation is divided by $n$.


If $n=5$, and we apply the modulo $n$ operation to $9+8$ we have:

\begin{equation} 3 +_5 4 = 2 \end{equation}


If $n=4$, $7+_{4}2$ does not make sense because 7 is not in $\mathbb{Z}_{4}$.

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