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Topic Content:
- Multiplication in Modular Arithmetic
- Division in Modular Arithmetic
Multiplication in Modular Arithmetic:
Multiplication can be explained as repeated addition e.g. 4 ⊗ 3 (mod 5) i.e.
\( \scriptsize 3 \: + \: 3 \: + \: 3 \: + \: 3 = 12 \\ \scriptsize = 2(mod 5) \)⇒ \(\scriptsize 4 \: \bigotimes \: 3 = 2 (mod\:5) \)
The table below shows the multiplication in modulo 5
4 ⊗ 3 means 4 on the residues column against 3 on the residues row, the result is 2.
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