Base converter with fractions?
01-26-2017, 12:38 PM
Post: #4
 Jan_D Member Posts: 69 Joined: Nov 2016
RE: Base converter with fractions?
When I would like to express 3.142 in base 7, I would do the following.

Multiplication with 7^4 gives: 7543.942
Rounded this is: 7544

Now I am going to express this integer number in base 7:

Division of 7544 by 7^4 (=2401) gives 3+rest 341
Division of 341 by 7^3 (=343) gives 0+rest 341
Division of 341 by 7^2 (49) gives 6+rest 47
Division of 47 by 7 gives 6+ rest 5.

So 7544=3*7^4+0*7^3+6*7^2+6*7+5 and therefore 7544=30665_base7

In the beginning we multiplied with 7^4, so now we have to divide again by 7^4, which shifts the point by 4 positions, and thus gives: 3.142=3.0665_base7
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 Messages In This Thread Base converter with fractions? - Joe Horn - 01-15-2017, 05:53 AM RE: Base converter with fractions? - Jan_D - 01-22-2017, 03:13 PM RE: Base converter with fractions? - Joe Horn - 01-22-2017, 11:22 PM RE: Base converter with fractions? - Jan_D - 01-26-2017 12:38 PM RE: Base converter with fractions? - Joe Horn - 01-26-2017, 05:18 PM RE: Base converter with fractions? - Han - 01-27-2017, 05:00 AM RE: Base converter with fractions? - Joe Horn - 01-28-2017, 03:25 AM RE: Base converter with fractions? - Dieter - 01-28-2017, 03:15 PM RE: Base converter with fractions? - Han - 01-26-2017, 06:57 PM RE: Base converter with fractions? - Jan_D - 01-28-2017, 01:42 PM RE: Base converter with fractions? - Han - 01-27-2017, 04:37 AM RE: Base converter with fractions? - Jan_D - 02-02-2017, 05:26 PM RE: Base converter with fractions? - Jan_D - 02-03-2017, 01:51 PM RE: Base converter with fractions? - Jan_D - 02-21-2017, 05:59 PM RE: Base converter with fractions? - Han - 02-21-2017, 07:30 PM RE: Base converter with fractions? - Jan_D - 02-22-2017, 06:03 PM RE: Base converter with fractions? - Gerald H - 01-28-2017, 02:58 PM RE: Base converter with fractions? - Han - 02-03-2017, 02:31 PM RE: Base converter with fractions? - toml_12953 - 02-13-2017, 02:36 PM RE: Base converter with fractions? - Jan_D - 02-03-2017, 05:52 PM RE: Base converter with fractions? - Jan_D - 02-13-2017, 01:14 PM RE: Base converter with fractions? - Han - 02-13-2017, 01:27 PM

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