Converting 43.3 from Base 7 to Base 8

  • Thread starter Thread starter ccky
  • Start date Start date
  • Tags Tags
    Base
AI Thread Summary
To convert (43.3)₇ to base 8, first convert the whole number and fractional parts separately. The whole number part, 43 in base 7, equals 31 in decimal, while the fractional part, 0.3 in base 7, needs conversion to octal. The correct conversion yields 37.3 in base 8, truncating any excess digits after one octal digit to the right of the radix point. The final answer is 37.3 in base 8.
ccky
Messages
15
Reaction score
0

Homework Statement


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.


Homework Equations


Base8,decimal.


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.
 
Physics news on Phys.org
'...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.
 
The part to the right of the decimal is still decimal, not yet converted to octal (and the 37 is correct)
 
phinds said:
The part to the right of the decimal is still decimal, not yet converted to octal (and the 37 is correct)
71x3 =0.42857...
The answer is 37.3...
Is it that?
 
ccky said:
71x3 =0.42857...
?
You must have meant 7-1 x 3
ccky said:
The answer is 37.3...
Is it that?
.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.
 
Back
Top