Question

2. Use modular arithmetic to find (a) (177 mod 31 + 270 mod 31) mod 31 (b) an integer a, such that a mod 47 = 23 and -47 ? a ? 0. (c) (12345678 ? 9056348992391) mod 5. Show your work. (d) 4^123456754 mod 5. Show your work.

          2. Use modular arithmetic to find

(a) (177 mod 31 + 270 mod 31) mod 31
(b) an integer a, such that a mod 47 = 23 and -47 ? a ? 0.
(c) (12345678 ? 9056348992391) mod 5. Show your work.
(d) 4^123456754 mod 5. Show your work.

Added by Margaret R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

08/11/2023

Step 1

First, we have to find the modular arithmetic of the given numbers. Show more…

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2. Use modular arithmetic to find (a) (177 mod 31 + 270 mod 31) mod 31 (b) an integer a, such that a mod 47 = 23 and -47 ≤ a ≤ 0. (c) (12345678 ∙ 9056348992391) mod 5. Show your work. (d) 4^123456754 mod 5. Show your work.