How we can translate base 9 and base 3?
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How we can translate base 9 and base 3?

[From: ] [author: ] [Date: 14-05-12] [Hit: ]
2 digits in base 3 is one digit in base 9.12 (base 3) = 5 (base 9),So 1212 in base 3 is 55 in base 9.1.) 9 --> 3^2 (3 squared) Therefore,2.......
Question1)
how we can translate from base 9 to base 3?(must be directly not with base 10)

Question2)
how we can translate from base 3 to base 9?(must be directly not with base 10)

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1 digit in base 9 represents two in base three.

For example 48 in base 9 would be equivalent to:

4 (base 9) = 11 (base 3), 8 (base 9) = 22 (base 3)

So 48 in base 9 is 1122 in base 3

Conversely, 2 digits in base 3 is one digit in base 9.

For example 1212 in base 3 is equivalent to:

12 (base 3) = 5 (base 9), 12 (base 3) = 5 (base 9)

So 1212 in base 3 is 55 in base 9.

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1.) 9 --> 3^2 (3 squared) Therefore, for example: 9^3 = (3^2)^3 = 3^6 =729

2.) 3 --> 9^1/2 (square root of 9) Therefore, for example: 3^6 = (9^1/2)^6 = 9^3 =729

Does this help? :)
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