Learning to Convert Numbers to Different Bases

Frank Jumby
Messages
1
Reaction score
0
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..
 
Physics news on Phys.org
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:

(3*5^2)+(1*5)+4=?. Now express the result in base 8. Hint: 100_{8} = 64_{10}=8^2
 
Last edited:
Ufortunately, after 8 responses, Frank Jumby hasn't responded to any of the questions asked.
 
##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
When decomposing a representation ##\rho## of a finite group ##G## into irreducible representations, we can find the number of times the representation contains a particular irrep ##\rho_0## through the character inner product $$ \langle \chi, \chi_0\rangle = \frac{1}{|G|} \sum_{g\in G} \chi(g) \chi_0(g)^*$$ where ##\chi## and ##\chi_0## are the characters of ##\rho## and ##\rho_0##, respectively. Since all group elements in the same conjugacy class have the same characters, this may be...

Similar threads

Back
Top