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Topic: Can you count in base "minus 2"
Message: Posted by: Nir Dahan (May 2, 2007 03:32PM)
List the numbers from 1 to 10 in base "minus 2"
Message: Posted by: stanalger (May 2, 2007 04:06PM)
Ithinkthisiswhatyou'relookingfor,butI'mnotsure.Andmyspacebarisn'tworking.

11101111001011101011011110001100111110
Message: Posted by: Psy-Kosh (May 2, 2007 06:06PM)
Lessee....

1
110
111
100
101
11010
11011
11000
11001
11110

(I _think_ that is also the answer stanalger was trying to give?)
Message: Posted by: stanalger (May 3, 2007 10:56AM)
Yes,Psy-Kosh,thatwas[b]exactly[/b]whatIwastryingtosay.Thankyou.
Message: Posted by: airship (May 3, 2007 10:57AM)
It's MUCH more fun if you use base -2i. :)
Message: Posted by: Psy-Kosh (May 3, 2007 04:48PM)
[quote]
On 2007-05-03 11:57, airship wrote:
It's MUCH more fun if you use base -2i. :)
[/quote]

Just do -i*(same stuff as before) and you're done. :D
Message: Posted by: stanalger (May 4, 2007 12:17PM)
I don't understand the two previous posts.
airship, would you please demonstrate how to count 1-10 in "base -2i"?
Psy-Kosh, would you please demonstrate the same?
Message: Posted by: Psy-Kosh (May 4, 2007 02:40PM)
No, wait, I was wrong. Multiplying by -i won't do it.

Lessee... hrm, not sure how to do it in base -2i, actually. Would need to think about it somemore.
Message: Posted by: airship (May 5, 2007 10:40AM)
The places are all powers of -2i instead of -2 as suggested above, or simply 2 in regular old binary. So these are the first six places in binary:

64 32 8 4 2 1

Here they are in base -2:

64 -32 18 -8 4 -2 1

I is the 'imaginary number', the square root of -1. Powers 2i and -2i are kind of hard to get your brain around at first, but are really no different to work with than the other binary bases, other than the fact that they involve imaginary numbers.

Here are the first six places in base 2i:

32i 16 -8i -4 2i 1

And in base -2i:

-32i 16 8i -4 -2i 1

I figured this three times and I'm still afraid someone's going to jump in here and correct me! That'll teach me to make smart-alec remarks! :)
Message: Posted by: airship (May 5, 2007 11:30AM)
Man, did I mess that up when I typed it in! LOL!

The numbers are always:
32 16 8 4 2 1

It's just the signs and 'i' associations that change. :)
Message: Posted by: MagiClyde (May 5, 2007 08:50PM)
Thanks for catching that error regarding base two counting, Airship. I was about to let you know that you forgot the 16.