Question

Encrypt the message WATCH YOUR STEP by translating the letters into numbers, applying the given encryption function, and then translating the numbers back into letters. (a) f(p) = (p+13) mod 26 (b) f(p) = (14p + 11) mod 26 (c) f(p) = (-7p+3) mod 26

Answer 1

Step-by-step explanation:(a) Using the encryption function f(p) = (p+13) mod 26:

W becomes 22, A becomes 0, T becomes 19, C becomes 2, H becomes 7, Y becomes 24, O becomes 14, U becomes 20, R becomes 17, and S becomes 18.

Applying the encryption function to each of these numbers, we get:

35 13 6 15 20 1 1 7 7 4

Then, translating these numbers back into letters, we get the encrypted message: MNDOTBAAGD.

(b) Using the encryption function f(p) = (14p + 11) mod 26:

W becomes 22, A becomes 0, T becomes 19, C becomes 2, H becomes 7, Y becomes 24, O becomes 14, U becomes 20, R becomes 17, and S becomes 18.

Applying the encryption function to each of these numbers, we get:

15 11 17 9 17 25 25 9 9 6

Then, translating these numbers back into letters, we get the encrypted message: PRLJZYYIF.

(c) Using the encryption function f(p) = (-7p+3) mod 26:

W becomes 22, A becomes 0, T becomes 19, C becomes 2, H becomes 7, Y becomes 24, O becomes 14, U becomes 20, R becomes 17, and S becomes 18.

Applying the encryption function to each of these numbers, we get:

19 3 1 10 20 19 19 15 15 14

Then, translating these numbers back into letters, we get the encrypted message: SCTKTSSOON.

SPJ11