FIT2093 Week 4 Tutorial Sheet (Optional)
Public Key Encryption: Part 1 (for self-study)
1. Write the following composite numbers as a multiplication of their prime factors.
(a) 72 (b) 111
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2. Complete the following modular arithmetic operations and determine the result:
(a) (32 + 18) mod 7 (b) (12×8) mod 7
(c) (56 + 125) mod 11 (d) (33 − 45) mod 9 (e) 1004 mod 7
(f) 10−1 mod 31 (g) 13−1 mod 19
3. Using the “Square and Multiply” modular exponentiation algorithm calculate the following:
(a) 857 mod 11 (b) 1562 mod 31
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