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

 Nir Dahan Inner circle Munich, Germany 1390 Posts Posted: May 2, 2007 03:32 pm    0 List the numbers from 1 to 10 in base "minus 2" Adventures in ASIC digital design stanalger Special user St. Louis, MO 996 Posts Posted: May 2, 2007 04:06 pm    0 Ithinkthisiswhatyou'relookingfor,butI'mnotsure.Andmyspacebarisn'tworking. 11101111001011101011011110001100111110 Psy-Kosh Regular user Michigan 135 Posts Posted: May 2, 2007 06:06 pm    0 Lessee.... 1 110 111 100 101 11010 11011 11000 11001 11110 (I _think_ that is also the answer stanalger was trying to give?) stanalger Special user St. Louis, MO 996 Posts Posted: May 3, 2007 10:56 am    0 Yes,Psy-Kosh,thatwasexactlywhatIwastryingtosay.Thankyou. airship Inner circle In my day, I have driven 1594 Posts Posted: May 3, 2007 10:57 am    0 It's MUCH more fun if you use base -2i. 'The central secret of conjuring is a manipulation of interest.' - Henry Hay Psy-Kosh Regular user Michigan 135 Posts Posted: May 3, 2007 04:48 pm    0 Quote:On 2007-05-03 11:57, airship wrote: It's MUCH more fun if you use base -2i. Just do -i*(same stuff as before) and you're done. stanalger Special user St. Louis, MO 996 Posts Posted: May 4, 2007 12:17 pm    0 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 Regular user Michigan 135 Posts Posted: May 4, 2007 02:40 pm    0 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 Inner circle In my day, I have driven 1594 Posts Posted: May 5, 2007 10:40 am    0 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! 'The central secret of conjuring is a manipulation of interest.' - Henry Hay airship Inner circle In my day, I have driven 1594 Posts Posted: May 5, 2007 11:30 am    0 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. 'The central secret of conjuring is a manipulation of interest.' - Henry Hay MagiClyde Special user Columbus, Ohio 871 Posts Posted: May 5, 2007 08:50 pm    0 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! The Magic Cafe Forum Index » » Puzzle me this... » » Can you count in base "minus 2" (0 Likes)
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