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I need help solving this thank you-example-1
User Numeron
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1 Answer

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Answer:

  • least: 1
  • greatest: 15

Explanation:

You want the least and greatest of the counting numbers that have the same number of digits in their base-8 and base-4 representations.

Ranges

The minimum 1-digit number will be 8^0 = 1. The maximum 1-digit number will be 4^1 -1 = 3.

The minimum 2-digit number will be 8^1 = 8. The maximum 2-digit number will be 4^2 -1 = 15.

The minimum 3-digit number will be 8^2 = 64. The maximum 3-digit number will be 4^3 -1 = 63. There are no qualifying 3-digit numbers.

The minimum number is 1.

The maximum number is 15 = 17₈ = 33₄.

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Additional comment

The 11 numbers are 1–3 and 8 = 10₈ = 20₄ to 15 = 17₈ = 33₄.

User Raluca
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