MATA02H3 Lecture Notes - Lecture 11: Modular Arithmetic, Multiplication Table
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Mata02 - lecture 11 - modular arithmetic, modular tables (february 11th, 2019) If n" is a positive integer, then for an integer m", the value of m mod n" is the remainder of m n. Ans: 139 12 = 11(12) + 7 (the remainder is the answer) Ans: 31 12 = 2(12) + 7. Notice how in both examples, we wanted to find mod 12" of two specific numbers, and the answer becomes 7. Due to this, we can make the following equation: Ans: 19 mod 7 = 5 19 7 = 2(7) + 5. 40 mod 7 = 5 40 7 = 5(7) + 5. 5 = 19 mod 7 = 40 mod 7. Addition table for module 5 m mod n is equivalent to one of: 0,1,2,3, , (n-1) This is a table for mod 5. in this table, i"m taking the sum of the corresponding numbers.
