1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Base 3 decimal expansion

  1. Nov 8, 2012 #1
    1. The problem statement, all variables and given/known data

    How to compute the base 3 decimal expansion of 1/4?

    2. Relevant equations

    3. The attempt at a solution
    I tried sums of geometric sequences,but i need a clue for the computation.
  2. jcsd
  3. Nov 8, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper

    You know how to find 1/4=0.25 in base 10 using long division, right? In base 3 that's 1/11. Do the same process, just do all the arithmetic in base 3.
  4. Nov 8, 2012 #3
    So far i already got.How to proceed?
  5. Nov 8, 2012 #4


    User Avatar
    Science Advisor
    Homework Helper

    Just do it. 11 goes into 1 zero times. So you write down 0. and 'bring down' a 0. Now you've got 11 into 10. Still zero times. Answer so far 0.0, bring down another 0. Now you've got 11 into 100 in base 3. So what's the first nonzero digit in the expansion? Multiply subtract and keep going. I'm not really sure how else to explain it in words.
  6. Nov 8, 2012 #5
    Thank's a lot.
  7. Nov 8, 2012 #6


    User Avatar
    Gold Member

    Just as a nitpicking point, it is not correctly called base 3 DECIMAL expansion since "decimal" is specifically for the base 10 system. It is called "base 3 floating point" expansion.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Base 3 decimal expansion
  1. Decimal expansion (Replies: 1)