State division theory.Add two integers 13578 and 45730 using Chinese R | Discrete Structure 2082

Discrete Structure208210 marksNumerical: Chinese Remainder Theorem additionChinese Remainder Theorem

State division theory.Add two integers 13578 and 45730 using Chinese Remainder Theorem.[2+8]

--- Division Algorithm (Division Theory): For any integer $a$ and any positive integer $n$ , there exist unique integers $q$ (quotient) and $r$ (remainder) such that: $a = q \cdot n + r, \qquad 0 \leq r < n$ where $q = \lfloor a/n \rfloor$ and $r = a \bmod n$ . --- The idea of CRT-based arithmeti...

--- Division Algorithm (Division Theory): For any integer $a$ and any positive integer $n$, there exist unique integers $q$ (quotient) and $r$ (remainder) such that: $$a = q \cdot n + r, \qquad 0 \leq r < n$$ where $q = \lfloor a/n \rfloor$ and $r = a \bmod n$. --- The idea of CRT-based arithmeti...

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