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DubaiAmateurRocketry
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Thinking in different number bases...
if a child was raised in a base 2 number system( aka binary), or any number system not base 10, how different would things be ?
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crazyboy
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I imagine it would be rather difficult to deal with a lot of practical matters, you end up needing more digits to express the same value. For example
In the US phone numbers have a three digit area code followed by a seven code number for theoretically 9,999,999,999 unique numbers with ten digits
phone numbers in binary look like this: 011101001100000001000110111100 I think a lot of things would be more difficult in binary. That said dozenal or
base 12 has been suggested as an alternative base by the addition of two new numerals. Although it will likely never happen it has the advantage of
being divisible by 2, 3, 4, 6, and 12 unlike base 10 which is only divisible by 2, 5, and 10.
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Fulmen
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But every system IS base 10. Just think about it...
We're not banging rocks together here. We know how to put a man back together.
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aga
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Nah. Just that we use the same arabic digits is all.
Hexadecimal also has A thru F added.
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deltaH
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We all use a time system that's base 12 and don't give it a second thought. Mayans used base 12 didn't they? Here's hexadecimal ala SM:
1 2 3 4 5 6 7 8 9 10      
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Fulmen
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Aga: What is 2 in binary? What is 16 in hex?
We're not banging rocks together here. We know how to put a man back together.
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mayko
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Welllll... I'd say that's a base-10 system under arithmetic mod 12 ... 
A while back, Brian Hayes made an interesting case for base three as a compromise between string length (crazyboy's phone number example) and
character count:
"Third Base" - Brian Hayes
al-khemie is not a terrorist organization
"Chemicals, chemicals... I need chemicals!" - George Hayduke
"Wubbalubba dub-dub!" - Rick Sanchez
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blogfast25
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Yeah but what's 512<sup>(170.6666 / 512)</sup> in binary, huh?
[Edited on 10-10-2015 by blogfast25]
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aga
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000000000000000000000000000000000000000000000000000000001000
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blogfast25
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170.6666 divided by 512 is 1/3.
512<sup>1/3</sup> is the cubic root of 512, which is 8.
8 in digital is 100.
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aga
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Digital ? Dunno what that is.
8 is 1000 in Binary (aka base 2)
Edit
Was about to add (base 10) after the 8 then realised that the number base of the 8 doesn't need stating, as it must be base 9 or higher to be able to
use the '8' symbol.
[Edited on 10-10-2015 by aga]
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deltaH
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Hmm, nobody picked up that I had one smiley too many in my SM hexadecimal post, I'm disappointed.
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aga
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The smileys were fine.
you had 1 number (the '10') too many in your post.
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blogfast25
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Yes, 8 = 1000 in base 2, my bad . 'Digital': vernacular for binary.
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aga
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The notation for the exact value of any number base in that number base is always '10'.
That is not Decimal, it's just two symbols next to each other.
We could as easily use other symbols, such as z,k,q = 0,1,2
Then 5 in base 3zkq notation would be 'kq'.
3,735,928,559 is said to be amusing in Hex.
(Programmers don't get out a lot)
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aga
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If only my Error Rate was as low as yours bloggers.
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j_sum1
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My favourite strange base is factorial.
For example,
155770= 3×8! + 6×7! + 6×6! + 2×5! + 0×4! + 1×3! + 2×2! + 0×1!
So, in base "factorial", 155770 is represented by 36620120factorial
Addition in this system is fairly straightforward. Multiplication is a special kind of nightmare.
And, no. I have no idea what practical use this system serves, but I am told there is one.
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blogfast25
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Chinese multiplication:
https://www.youtube.com/watch?v=U2UloHO5Ubc
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aga
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Wow !
That Chinese method is brilliant !
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deltaH
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For aga:
https://www.youtube.com/watch?v=OuF-WB7mD6k
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aga
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Nice trick !
If the volume of beer in the glass = v as a function of time f(t) then i find that table stability is irrelevant as v = 0 for any f(t) where t > 0.
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deltaH
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You forgot to say that with strong German accent
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woelen
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It's 111.1111111111111111< irregular infinite pattern of zeros and ones >
[Edited on 11-10-15 by woelen]
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aga
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That is likely the most correct answer using the decimal value given.
The way i approached it was to imagine that the Questioner meant :-
170.666 = 170 + 2/3 = (170*3 + 2 )/3 = 512/3
The Devil is always in those .666 fraction-approximations 
[Edited on 11-10-2015 by aga]
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mayko
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Another interesting fact about ternary: The cantor set can be defined as those real numbers between zero and one, whose ternary representation contains no 1's
al-khemie is not a terrorist organization
"Chemicals, chemicals... I need chemicals!" - George Hayduke
"Wubbalubba dub-dub!" - Rick Sanchez
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