Q$1)$Pick a number between $100$ and $999$ for your personal code. code is $111$

Q$2)$What are the two numbers that the company sends into the world using a public message so that people can correspond with the company using RSA cryptography?

Note: Show all calculations needed.

Q$3)$What is the company's private decryption key, d$?$

Note: Show all steps of the Extended Euclidean Algorithm in Excel.

Q$4)$For your personal verification code $($your answer from question #$1),$ what encrypted message would you send to the company to verify your identity?

Note: Show all steps of the Fast$-$Modular Exponentiation Algorithm in Excel

Q$5)$The company sends out a message with the verification code $875.$

a$)$ Decode this number using the values given in the instructions.

b$)$ Can you verify this message if you know their decoded value should be $7383?$

Note: Show all steps of the Fast$-$Modular Exponentiation Algorithm in Excel