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Assignment - Modulo Arithmetic Questions
Q1. A number is written as 14n if three times the number is equal to 45n. Find the value of n.
Q2. (i) Draw the multiplication table ⊗ in base 6 on the set {1, 2, 3, 4}.
(ii) From the table solve
(a) 2 ⊗ x = 2
(b) m ⊗ m = 4
Q3. (i) Copy and complete the following table for multiplication modulo 7 on the set (1, 2, 3, 6)
X
1
2
3
6
4
5
(ii) Using the table to find the truth set of n ⊗ n ⊗ 6 = 5.
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