Discrete Math. Use modular exponentiation to find 250 mod 13.

Question

Question

Discrete Math. Use modular exponentiation to find 2⁵⁰ mod 13.

engineering Computer-Science

Answer 1

Answer #1

Formula for Modular exponentiation :

c mod m = (a ⋅ b) mod m

c mod m = [(a mod m) ⋅ (b mod m)] mod m

250 mod 13 = (25.10)mod 13

=[(25 mod 13).(10 mod 13)] mod 13

=(12.10)mod 13

=120 mod 13

=3

Hence the final answer is 3.

Answer 2

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