What is the value of (1715)₁₀ in base 12?
2021
What is the value of (1715)₁₀ in base 12?
- A.
(BAA)₁₂
- B.
(ABA)₁₂
- C.
(BCB)₁₂
- 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