Bases?

I don't even know what category this falls into.. I took a screenshot of it because I don't know how to type this in lol. Can someone explain how to do it?

http://oi43.tinypic.com/3462crk.jpg




You are doing addition in 8_base system.

You have to add 512 and 177

These go excatly like decimal system - except 7+1 becomes 10.

so:

What is 7 + 2 in 8_base system?
 
Hello, reov3596!

\(\displaystyle \text{What is the sum of }512_8\text{ and }177_8\,?\)

. . \(\displaystyle (A)\;601_8 \qquad (B)\;701_8 \qquad(C)\;711_8 \qquad (D)\;611_8 \qquad (E)\;612_8\)

Do you know anything about Number Bases?
If not, giving you the answer won't help
. . and explaining how would take too long.


Assuming you know something, here's one solution.


We have: .\(\displaystyle \begin{array}{ccccc} & 5 & 1 & 2\;_8 \\ + & 1 & 7 & 7\;_8 \\ \hline \end{array}\)


Convert to base-ten: .\(\displaystyle \begin{array}{ccccccc} 512_8 &=& 5(8^2) + 1(5) + 2(1) &=& 330 \\ 177_8 &=& 1(8^2) + 7(8) + 7(1) &=& 127 \end{array} \)

Add: .\(\displaystyle \begin{array}{cccc}& 3&3&0 \\ +& 1&2&7 \\ \hline &4&5&7\end{array}\)


Convert to base-8: .\(\displaystyle 457 \;=\;771_8\;\text{ answer (C)}\)
 
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