Question: 1. Encrypt the message MATH by translating the letters into numbers and then applying the encryption function given, and then translating the numbers

1. Encrypt the message " MATH " by translating the letters into numbers and then applying the encryption function given, and then translating the numbers back into letters. (a) ()=(7+2) mod 26f(p)=(7p+2) mod 26

(b) ()=(7+14) mod 26f(p)=(7p+14) mod 26

2. Decrypt the message IBYYXSZWW which was encrypted using the affine cipher:

()=(9+3) mod 26f(p)=(9p+3) mod 26

Alphabet: =0,=1,,=25A=0,B=1,,Z=25 Message:

3. Which numbers in 90 Z90 are relatively prime to 90? Enter your answer as a comma separated list of numbers. Sequence =

4. Which numbers in 12 Z12 are relatively prime to 12? Enter your answer as a comma separated list of numbers. Sequence =

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