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The Magic Cafe Forum Index » » Puzzle me this... » » Can you count in base "minus 2" (0 Likes) Printer Friendly Version

Nir Dahan
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Munich, Germany
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List the numbers from 1 to 10 in base "minus 2"
stanalger
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St. Louis, MO
996 Posts

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Ithinkthisiswhatyou'relookingfor,butI'mnotsure.Andmyspacebarisn'tworking.

11101111001011101011011110001100111110
Psy-Kosh
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Michigan
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Lessee....

1
110
111
100
101
11010
11011
11000
11001
11110

(I _think_ that is also the answer stanalger was trying to give?)
stanalger
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Yes,Psy-Kosh,thatwasexactlywhatIwastryingtosay.Thankyou.
airship
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It's MUCH more fun if you use base -2i. Smile
'The central secret of conjuring is a manipulation of interest.' - Henry Hay
Psy-Kosh
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Michigan
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Quote:
On 2007-05-03 11:57, airship wrote:
It's MUCH more fun if you use base -2i. Smile


Just do -i*(same stuff as before) and you're done. Smile
stanalger
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St. Louis, MO
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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?
Psy-Kosh
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Michigan
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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.
airship
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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! Smile
'The central secret of conjuring is a manipulation of interest.' - Henry Hay
airship
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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. Smile
'The central secret of conjuring is a manipulation of interest.' - Henry Hay
MagiClyde
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Columbus, Ohio
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Thanks for catching that error regarding base two counting, Airship. I was about to let you know that you forgot the 16.
Magic! The quicker picker-upper!
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