Thread: [SOLVED] Convert from base8 to base7

How would i convert base8 number of 725 to a base7 number?

Originally Posted by Edbaseball17

How would i convert base8 number of 725 to a base7 number?

The easiest way I know is to convert the base 8 number to base 10, then convert the base 10 number to base 7.

where the 469 is in base 10.

Now to convert 469 to base 7. The largest power of 7 that divides 469 (without being larger than it) is 3:


The next largest power of 7 is 2:


The next largest power of 7 is 1:


And the last power of 7 is 0:


So

I would not be surprised to find that the Euclidean Algorithm provides a way to do this directly from base 8 to base 7, but I don't know how to set it up.

-Dan

Hello, Edbaseball17!

How would i convert to a base 7 number?

Convert to base-ten: .

Then convert to base-seven: .



I trust you know the necessary procedures.
Otherwise, you shouldn't have been assigned this problem.
.

Hey, thanks alot. You made my day, now i understand it perfectly. I was trying to go directly from 8 to 7 instead of working with the base10 instead.

Hello, Edbaseball17!

I was trying to go directly from base 8 to base 7.

This can be done IF you can divide in base 8 . . .


. . Remainder: 0



. . . . Remainder: 4



. . . . . . Remainder: 2


. . . . . . . . Remainder: 1



Therefore: .