# Number theory

Frank Jumby
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..

Why don't you first write 314_5 in base 10 and then transform it to base 8?

Homework Helper
Gold Member
First convert to base 10. Do you know what the 3 represents in 3145?

Homework Helper
Gold Member
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.

SW VandeCarr
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:

$(3*5^2)+(1*5)+4=?$. Now express the result in base 8. Hint: $100_{8} = 64_{10}=8^2$

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