# Basic base

1. Oct 16, 2013

### ccky

1. The problem statement, all variables and given/known data
Convert(43.3)7to base 8?using no more than one octal digit to the right of the radix point.Truncate any remainder by chopping excess digits.Use an ordinary unsigned octal representation.

2. Relevant equations
Base8,decimal.

3. The attempt at a solution
(43.3）7 .Than,(31.42857)8, My answer is 37.42684 non-terminating.
Is it right or not?
Thanks.

2. Oct 16, 2013

### SteamKing

Staff Emeritus
'...using no more than one octal digit to the right of the radix point.'

43.3 base 7 is equal to 31.42857 decimal, not octal. Check your conversion of 0.3 base 7 to octal.

3. Oct 16, 2013

### phinds

The part to the right of the decimal is still decimal, not yet converted to octal (and the 37 is correct)

4. Oct 16, 2013

### ccky

71x3 =0.42857.......
Is it that?

5. Oct 16, 2013

### Staff: Mentor

???
You must have meant 7-1 x 3
.4285710 = 4 * 10-1 + 2 * 10-2 + 8 * 10-3 + 5 * 10-4 + 7 * 10-5

Now you need to convert this into a sum of negative powers of 8.