Is there a direct method for converting base 6 numbers to base 3?

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Discussion Overview

The discussion centers around the question of whether there is a direct method for converting numbers from base 6 to base 3. Participants explore the feasibility of performing this conversion manually, without the use of software, and express varying levels of understanding regarding number bases and conversion methods.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested, Homework-related

Main Points Raised

  • One participant seeks a method to translate numbers from base 6 to base 3 using pen and paper.
  • Another participant questions whether the inquiry is related to software, indicating a need for more context.
  • A participant expresses frustration with existing online resources, noting that they only provide specific examples rather than a general method.
  • Concerns are raised about the importance of the original base in the conversion process, with a participant arguing that the original base must influence the method used.
  • One participant explains the differences between base representations, emphasizing the significance of place values in different bases, but does not address the specific conversion from base 6 to base 3.
  • A participant reiterates the desire for a straightforward conversion method without intermediary steps, indicating a preference for direct transformation.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the existence of a direct conversion method from base 6 to base 3. There are competing views on the necessity of intermediary steps and the role of the original base in the conversion process.

Contextual Notes

Participants express varying levels of familiarity with number bases and conversion techniques, which may affect their understanding of the topic. There is also a lack of clarity regarding the specific methods available for base conversion.

transgalactic
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translating number in base 6 into a number in base 3?
 
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You looking to do this in software I assume? More information please.
 
no i want to do it by pen and paper

i just started to learn this "digital logic" thing
i am looking for a way of
translating a number in base 6 into a number in base 3
 
Did you try a google search?

http://home.earthlink.net/~usondermann/base.html
 
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in google search i got only specific examples of transformation

regarding the method in the link can't see how it destinguishing the base of our
"victim number"(the one we want to change)

bacause it just says to take the number and to divide it by the new base

123 (in base 4) is the same number as 123 (in base 10)

there is no difference here??
the original base must play some role
 
123 in base 4 and 123 in base 10 are most certainly different. In base 4 from right to left, each place is worth 1, then 4, then 16, then 64, etc. In base 10 from right to left, each place is worth 1, then 10, then 100, then 1000, etc. In each base, each placeholder (excluding the very right one) is worth the previous placeholder multiplied by the base. The very right placeholder is always worth 1. So to use your example of 123 in base 4, you would add 3 (3 x 1) plus 8 (2 x 4) plus 4 (1 x 4) and the result is 15 decimal. I'm not always the best at explaining things so I'm sorry if this confuses you. If so, keep the questions coming, we'll get you straightened out. The only coversions I usually do are between hex, binary and decimal. Converting between binary and hex is a snap and my method shown above will get you to and from decimal easily. In school we were told the most fool-proof way is to take everything through binary, I can't say I agree though.
 
i want to transform a number in base 6 into a number in base 3

"So to use your example of 123 in base 4, you would add 3 (3 x 1) plus 8 (2 x 4) plus 4 (1 x 4) and the result is 15 decimal"

i was looking for a way to transform straight forward without any middle man
 

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