The TMA covers only chapters 1, 2, 4, 6 and 7 and consists of eight questions for a total of 40 marks. Please solve each question in the space provided. You should give the details of your solutions and not just the final results.
Q−1: [3+3 marks]
Q−2: [4+4 marks]
Q−3: [4+4 marks]
such that the function encodes the letter “H” by “C”. Use the function to encrypt the message “NEED HELP”.
Q−4: [4+4 marks]
Suppose that the relation is defined on the set where means . Show that is an equiva
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