Learning to Convert Numbers to Different Bases

  • Context: High School 
  • Thread starter Thread starter Frank Jumby
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    Bases Convert Numbers
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Discussion Overview

The discussion revolves around the process of converting numbers from one base to another, specifically focusing on converting the number 3145 from base 5 to base 8. Participants express their difficulties and seek clarification on the conversion process.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant requests help with converting the number 3145 to base 8, indicating a lack of understanding of the process.
  • Another participant suggests converting 3145 from base 5 to base 10 before transforming it to base 8.
  • A further comment questions the understanding of what the digits in 3145 represent in base 5.
  • There is a clarification about the terminology, noting that "base" is often referred to as "radix" in more advanced contexts.
  • One participant provides a mathematical expression to convert 3145 from base 5 to base 10, hinting at the next step of expressing the result in base 8.
  • A participant notes the lack of response from the original poster after multiple questions have been asked.

Areas of Agreement / Disagreement

Participants generally agree on the need to convert the number to base 10 first before proceeding to base 8, but there is no consensus on the original poster's understanding or response to the questions posed.

Contextual Notes

There are unresolved assumptions regarding the original poster's familiarity with base conversions and the specific meaning of the digits in the number 3145.

Frank Jumby
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Please I have read texts about changing the bases of numbers but still I have difficulties in
doing, may s'body instruct me for example..

Change 3145 to base 8

Thanx..
 
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Why don't you first write 314_5 in base 10 and then transform it to base 8?
 
First convert to base 10. Do you know what the 3 represents in 3145?
 
Tenshou said:
What do you mean? explain what you mean by changing bases?

"Base" here is more specifically called "radix", but the word base is almost always used in English except in advanced academic texts.
 
MrAnchovy said:
First convert to base 10. Do you know what the 3 represents in 3145?

Maybe I shouldn't do this, but since this is not the homework forum:

[itex](3*5^2)+(1*5)+4=?[/itex]. Now express the result in base 8. Hint: [itex]100_{8} = 64_{10}=8^2[/itex]
 
Last edited:
Ufortunately, after 8 responses, Frank Jumby hasn't responded to any of the questions asked.
 

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