# Number theory

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..

## Answers and Replies

Bacle2
Science Advisor
Why don't you first write 314_5 in base 10 and then transform it to base 8?

pbuk
Science Advisor
Gold Member
First convert to base 10. Do you know what the 3 represents in 3145?

pbuk
Science Advisor
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.

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: $100_{8} = 64_{10}=8^2$

Last edited:
HallsofIvy
Science Advisor
Homework Helper
Ufortunately, after 8 responses, Frank Jumby hasn't responded to any of the questions asked.