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Title: Re: Base 5 Conversion Post by Barukh on Sep 29th, 2007, 12:25am ----- Due to the unfortunate deletion of the first post we interrupt this message to reproduce it here ----- The problem posed by deeeeee was to convert 0.23 (in base 10) to base 5. ----- we now return you to your regularly scheduled solution ----- First, we have: 0.210 = 1/5 = 0.15. Second: 0.0110 = 1/100 = 5-3 + 5-4 + 5-5 + ... = 0.00111...5. Therefore, 0.2310 = 0.2 + 0.03 = 0.10333...5. |
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Title: Re: Base 5 Conversion Post by rawwwr0 on Sep 29th, 2007, 1:18am on 09/29/07 at 00:25:37, Barukh wrote:
Could you elaborate more on your 'second' one please? I am a bit slow (but that isn't really like french to me, i did some stuffs one sequence and series a while ago so I'm able to get it but not fully understand it yet ) and it's a bit tooo straight-forward Thanks Mucho mucho |
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Title: Re: Base 5 Conversion Post by rawwwr0 on Sep 29th, 2007, 1:36am hmmm hey I used the formula of the sum of infinity or limiting sum of a sequence ( S(infinity) = A/(1-r) and it does work for 5-3 + 5-4 + 5-5 + .... = 0.01 but sad thing is i don't really know why/ how to explain this. |
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Title: Re: Base 5 Conversion Post by srn347 on Sep 29th, 2007, 8:40am The conversion of bases works for decimals too. There would be a 1/5 place, a 1/25 place etc. Do you now understand? |
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Title: Re: Base 5 Conversion Post by rawwwr0 on Sep 29th, 2007, 9:42am on 09/29/07 at 08:40:20, srn347 wrote:
I do get the base conversions but how am I supposed to justify that 5-3 + 5sup]-4[/sup] + 5sup]-5[/sup] + .... = 0.01 |
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Title: Re: Base 5 Conversion Post by FiBsTeR on Sep 29th, 2007, 11:53am Use a telescope! 8) Let x = 5-3 + 5-4 + ... , then: 5x = 5 [ 5-3 + 5-4 + ... ] 5x = 5-2 + 5-3+... 5x - x = [ 5-2 + 5-3 + ... ] - [ 5-3 + 5-4 + ... ] 4x = 5-2 4x = 0.04 x = 0.01, and thus: 5-3 + 5-4 + ... = 0.01 |
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Title: Re: Base 5 Conversion Post by rawwwr0 on Sep 29th, 2007, 5:39pm on 09/29/07 at 11:53:58, FiBsTeR wrote:
thanks man :) |
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Title: Re: Base 5 Conversion Post by rawwwr0 on Sep 30th, 2007, 12:37am wtf I deleted the original topic post by mistake :'( |
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Title: Re: Base 5 Conversion Post by FiBsTeR on Sep 30th, 2007, 8:02am And you changed your name... ??? |
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Title: Re: Base 5 Conversion Post by deeeeee on Sep 30th, 2007, 9:10am and I changed my name as well :o :P :'( how can I add the first post again? :( this thread doesn't make any sense at all atm |
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Title: Re: Base 5 Conversion Post by towr on Sep 30th, 2007, 9:20am Unfortunately it's not possible to add a post back at the top. But I could edit Barukh's post and put something there, if you tell me what the content of the first post was. |
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Title: Re: Base 5 Conversion Post by FiBsTeR on Sep 30th, 2007, 9:29am Essentially the original problem was: "Convert 0.2310 to base 5." |
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Title: Re: Base 5 Conversion Post by deeeeee on Sep 30th, 2007, 10:38am ^ What he said Thank You :) |
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Title: Re: Base 5 Conversion Post by Barukh on Sep 30th, 2007, 11:16am Hi, deeeeee! Sorry for delay. Do you understand the solution now, or would you like to get more details? |
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Title: Re: Base 5 Conversion Post by deeeeee on Sep 30th, 2007, 4:14pm on 09/30/07 at 11:16:17, Barukh wrote:
It's okay now. Thanks gain Cheers |
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Title: Re: Base 5 Conversion Post by srn347 on Sep 30th, 2007, 9:40pm Wouldn't deleting the first message delete the entire post thingamajig? |
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Title: Re: Base 5 Conversion Post by deeeeee on Oct 1st, 2007, 4:50am on 09/30/07 at 21:40:54, srn347 wrote:
It would for other forums but this forum is too cool for that |
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