What is the remainder when 11100 is divided by 4?

What is the remainder when 11100 is divided by 4?

Answer: B. 1 — Reduce the base modulo 4: 11 ≡ 3 (mod 4). Use exponent parity to simplify the power: 3^100 = (3^2)^50 = 9^50 ≡ 1^50 ≡ 1 (mod 4). Conclusion: The remainder…

  1. A.

    0

  2. B.

    1

  3. C.

    2

  4. D.

    3

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Correct answer: B

Reduce the base modulo 4: 11 ≡ 3 (mod 4).

Use exponent parity to simplify the power:

  • 3^100 = (3^2)^50 = 9^50 ≡ 1^50 ≡ 1 (mod 4).

Conclusion: The remainder when 11^100 is divided by 4 is 1.

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