Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.


JT
Posts:
1,299
Registered:
4/7/12


Re: JS coding
Posted:
Feb 10, 2013 11:56 AM


On 6 Feb, 10:01, Virgil <vir...@ligriv.com> wrote: > In article > <3123c3cd44ed473ea206c9246797a...@fn10g2000vbb.googlegroups.com>, > > > > > > > > > > JT <jonas.thornv...@gmail.com> wrote: > > On 3 Feb, 23:33, Virgil <vir...@ligriv.com> wrote: > > > In article > > > <6e315bac9f194ceead907ec7bbe8b...@w7g2000yqo.googlegroups.com>, > > > > JT <jonas.thornv...@gmail.com> wrote: > > > > I do not want a counter, i want a general solution to re encode any > > > > decimal number where anybase(decimal,base) {} > > > > This is probably why people save code instead of posting it to > > > > usenet ;D > > > > The process involves repeated divisions with whole number quotients and > > > remainder > > > Example: Convert 99 base 10 to base 8 > > > > Step 1. 8 into 99 goes 12 times with 3 left over > > > Step 2. 8 into 12 goes 1 time with 4 left over > > > Step 3. 8 into 1 goes 0 times with 1 left over > > > Stop when base goes into dividend 0 times > > > > Then line up the leftovers from last to first: 1,4,3 > > > > Result 99(base 10) is 143(base 8) > > > > Check: 143(base 8) = 1*8^2 + 4*8^1 + 3*8^0 > > > = 1*64 + 4*8 + 3*1 > > > = 64 + 32 + 3 > > > = 99 (base 10) > > >  > > > Honestly i thought that you math guys, easily could see howto convert > > ordinary bases to zeroless NyaN bases. For me it took a week to find > > the generic algorithm for anybase to write out any number using NyaN > > base notation, but it was 15 years ago so it probably will take me a > > week or two. > > The thing is that none of us see any point to converting to zeroless > bases when the systems with zeroes works so well. > > > > > The annoying thing is that i know that the generic basechanger i wrote > > for standard base was written so a single line of code could change it > > to NyaN bases, but i am probably getting old because i think i have to > > start all over with NyaN algorithm. When i do changes it hangs and > > without a debugger line for line it is harder. > > > The generic basechanger is allready working, but how do i get it to > > write out NyaN bases instead of standard bases. > > Your problem. > 
> What is NyaN?
It is a concept of new naturals working in anybase(Nya N swedish), it is written out without zeros. BASE 3 BELOW Dec = NyaNTern=StandardTern 1 =1 01 2 =2 02 3 =3 10 4 =11 3+1 11 5 =12 3+2 12 6 =13 3+3 20 7 =21 6+1 21 8 =22 6+2 22 9 =23 6+3 100 10 =31 9+1 101 11 =32 9+2 102 12 =33 9+3 110 13 =111 9+3+1 111 14 =112 9+3+2 112 15 =113 9+3+3 120 16 =121 9+6+1 121 17 =122 9+6+2 122 18 =123 9+6+3 200 19 =131 9+9+1 201 20 =132 9+9+2 202 21 =133 9+9+3 210
Below ternary fractions in NyaN Paragraphs for empty preceding entrys to keep track of multiple * bas (Ternary=1,3,9,27,81....)
Fractions = NyaN ternary fraction 1/3 = .1 2/3 = .2 1/9 = .(1)1 2/9 = .(1)2 1/27 = .(2)1 2/27 = .(2)2 1/81 = .(3)1 2/81 = .(3)2 ...



