Question 4
Modular ArithmeticFig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n ⊗ 4) ⊕ 3 = 0(mod 5).

- A.1
- B.2
- C.3
- D.4
Show the answer and explanation
Answer: C (3)
Explanation
n ⊗ 4 must be 2 (since 2 ⊕ 3 = 0). From the multiplication table, 3 ⊗ 4 = 2, so n = 3.