Q−3: [5×4 marks] a. Find a, b if a+2b=107 mod 9 and 2a+b=-55 mod 7. b....

Q−3: [5×4 marks]
a. Find a, b if a+2b=107 mod 9 and 2a+b=-55 mod 7.
b. Write the prime factorization of 229320 and 49140, hence find GCD and LCM.
c. Convert the following number (1303)4 to base 5.
d. Using the Prime Factorization technique determine whether 173 is a prime.
e. Use the cipher: f(x)=(x+7) mod 26 to decrypt “THAO ALZA”.

Expert Solution

Answer.

Kindly refer below attachment for detailed solution.

Answer A.

Answer B.

(I)229320

(II)49140

LCM=687960

GCD=16380

Kindly upvote please.

Colby Messinger answered 1 year ago

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