Math Forum Discussions

JT

Posts: 436
Registered: 4/7/12

Re: JS coding
Posted: Feb 3, 2013 11:30 PM

Plain Text

On 4 Feb, 05:24, JT <jonas.thornv...@gmail.com> wrote:
> On 3 Feb, 23:33, Virgil <vir...@ligriv.com> wrote:
>
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> > In article
> > <6e315bac-9f19-4cee-ad90-7ec7bbe8b...@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)
> > --
>
> Thank you for helping out, but that is not the formula i am looking
> for see the serie above.
> Your idea use the formula creating standard base including zero.
>
> I ask for the general formula writing out the multiples without zeros.
> I do not want base 3 (normal way)
> 9=100=1*9 + 0*3 + 0*1
> (I already have a general formula for anybase, see the javascript)
>
> I want base 3 (doing my way)
> 9=23=2*3 + 1*3
>
> From script i want 2,3 out not 1,0,0
> But i forgot how to change it to reflect my serie writing bases
> without zeros.
>
> But if you or anyone else could figure out howto change code to
> reflect the zeroless serie above, i would be greatful, right now i am
> lost.
> And if you find a way to improve code to make it readable (normal
> bases)please do so, this is in no way optimal just my hack.
> (Below you have boiled down code for basechange (works for all bases
> and numbers) just put your base and decimal number in function call.
>
> Thanks Virgil
>
> <HTML>
> <SCRIPT language=Javascript>
> function anybase(bas,decimal) {
>
> multip=0;
> basemultip=1;
> unr=0;
> basestr="";
> subtrahend=0;
>
> while (basemultip<decimal){
> basemultip=basemultip*bas;
> multip=multip+1;
> }
> while (decimal>0){
> unr++;
> set=0;
>
> for(i=bas;i>0;i--){
> subtrahend=basemultip*i;
> document.write(subtrahend+"="+basemultip+"* (i)"+i
> +"<BR>");
>
> if (decimal>=subtrahend) {
> document.write("decimal"+decimal+"-
> subtra"+subtrahend);
> decimal=decimal-subtrahend;
> document.write("="+decimal+"<BR>")
> set=1;
> basestr=basestr+i+",";
>
> }
>
> }
>
> if(set==0 && decimal!=0)basestr=basestr+0+",";
> basemultip=basemultip/bas;
>
> }
>
> while (multip>=unr){
> basestr=basestr+0+",";
> unr++;
>
> }
> document.write("basestr "+basestr+"<BR>");
>
> }
>
> anybase(4,81);
> </SCRIPT>
> <HTML>

I have no idea after copying code from NG it do not work, strange.
Test again.
<HTML>
<SCRIPT language=Javascript>
function anybase(bas,decimal) {

multip=0;
basemultip=1;
unr=0;
basestr="";
subtrahend=0;

while (basemultip<decimal){
basemultip=basemultip*bas;
multip=multip+1;
}
while (decimal>0){
unr++;
set=0;

for(i=bas;i>0;i--){
subtrahend=basemultip*i;
document.write(subtrahend+"="+basemultip+"* (i)"+i
+"<BR>");

if (decimal>=subtrahend) {
document.write("decimal"+decimal+"-
subtra"+subtrahend);
decimal=decimal-subtrahend;
document.write("="+decimal+"<BR>")
set=1;
basestr=basestr+i+",";

}

}

if(set==0 && decimal!=0)basestr=basestr+0+",";
basemultip=basemultip/bas;

}
while (multip>=unr){
basestr=basestr+0+",";
unr++;

}
document.write("basestr "+basestr+"<BR>");

}
anybase(4,81);
</SCRIPT>
<HTML>