Posted by **Charlene** on Sunday, June 10, 2012 at 6:14pm.

Convert the base-ten number to a number in the indicated base.

12 to base six. I have no clue how to even do this. Help please?

- Math -
**MathMate**, Sunday, June 10, 2012 at 7:59pm
Divide the number by 6 repeatedly until no remainder remains.

The final quotient together with the successive remainders is the number in base 6.

Example:

Convert 256 to base 6:

256/6=42 R4

42/6=7 R0

So the base 6 number is 704

Convert 15203 to base 6:

15203/6=2533 R**5**

2533/6=422 R**1**

422/6=70 R**2**

70/6=11 R**4**

11/6=**1** R**5**

The base 6 number is 154215

Just in case you need to know, to convert 154215(base 6) to base 10:

((((6*1+5)*6+4)*6+2)*6+1)*6+5=15203

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