What is the value of (1715)₁₀ in base 12?

2021

What is the value of (1715)₁₀ in base 12?

  1. A.

    (BAA)₁₂

  2. B.

    (ABA)₁₂

  3. C.

    (BCB)₁₂

  4. D.

    (BAB)₁₂

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Correct answer: D

Let's convert (1715)₁₀ to base 12.

We repeatedly divide by 12:
1715 / 12 = 142 remainder 11
142 / 12 = 11 remainder 10
11 / 12 = 0 remainder 11

Now we write the remainders from bottom to top:
11, 10, 11

In base 12, the digits after 9 are represented as: (10 = A) ,(11 = B)

Therefore,
(1715)₁₀ = (BAB)₁₂

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