xkcd

by **Anonymously Famous** » Mon Sep 19, 2011 7:12 pm UTC

45 = 10010100

by **Jplus** » Mon Sep 19, 2011 8:40 pm UTC

Despite the fact that this system is counter-intuitive for most people, it's regular as hell and hence it's quite easy to see what the successor of any number will be...

46 = 10010101

by **Anonymously Famous** » Mon Sep 19, 2011 8:45 pm UTC

46 = 10100000

It is easy to see what the successor would be, but if it weren't a counting game, but a "Find the given number" game, it would be more difficult (without a table containing the Fibonacci series, at least).

by **Sean Quixote** » Mon Sep 19, 2011 11:53 pm UTC

48 = 10100001

What's a "find the given number" game?

by **Anonymously Famous** » Tue Sep 20, 2011 2:45 am UTC

Example: What's x in (given number system, with the rules of the number system explained as necessary.)

48 49 = 10100010

Edit: Oopsie...

by **Sean Quixote** » Tue Sep 20, 2011 3:45 am UTC

Oh, so I could say like:

In this number system, you have ones (1s) and zeros (0s). Beginning with "1" and then "10", all subsequent integers must be expressed in a way such that two ones are NEVER adjacent to eachother -- "11" is not ever allowed. Following these rules, how would you express the integer fifty?

And the answer would be:

50 = 10100100

by **Anonymously Famous** » Tue Sep 20, 2011 3:50 am UTC

51 = 10100101

by **Sean Quixote** » Tue Sep 20, 2011 4:16 am UTC

52 = 10101000

by **Anonymously Famous** » Tue Sep 20, 2011 4:42 am UTC

53 = 10101001

by **Sean Quixote** » Tue Sep 20, 2011 5:08 am UTC

54 = 10101010

by **Anonymously Famous** » Tue Sep 20, 2011 6:22 am UTC

55 = 100000000

by **Sean Quixote** » Tue Sep 20, 2011 8:14 am UTC

56 = 100000001

by **Evengeduld** » Tue Sep 20, 2011 1:25 pm UTC

57 = 100000010

by **Sean Quixote** » Tue Sep 20, 2011 1:38 pm UTC

58 = 100000100

by **Anonymously Famous** » Tue Sep 20, 2011 3:07 pm UTC

59 = 100000101

by **Sean Quixote** » Tue Sep 20, 2011 3:22 pm UTC

60 = 100001000

by **Anonymously Famous** » Tue Sep 20, 2011 6:55 pm UTC

61 = 100001001

by **Sean Quixote** » Tue Sep 20, 2011 7:08 pm UTC

62 = 100001010

by **Anonymously Famous** » Tue Sep 20, 2011 7:50 pm UTC

63 = 100010000

by **Sean Quixote** » Tue Sep 20, 2011 9:44 pm UTC

64 = 100010001

by **Anonymously Famous** » Tue Sep 20, 2011 10:12 pm UTC

65 = 100010010

by **Sean Quixote** » Tue Sep 20, 2011 11:11 pm UTC

66 = 100010100

by **a-wan** » Mon Sep 26, 2011 8:24 pm UTC

67 = 100010101

by **Sean Quixote** » Tue Sep 27, 2011 7:44 am UTC

68 = 100100000

by **a-wan** » Tue Sep 27, 2011 4:53 pm UTC

69 = 100100001

by **Sean Quixote** » Tue Sep 27, 2011 6:44 pm UTC

70 = 100100010

by **Lorenz** » Tue Sep 27, 2011 7:37 pm UTC

71 = 100100100

Glad to finally join the fun.

by **Sean Quixote** » Tue Sep 27, 2011 9:36 pm UTC

72 = 100100101

Yaaaay!

by **Lorenz** » Wed Sep 28, 2011 5:02 am UTC

73 = 100101000

by **Sean Quixote** » Wed Sep 28, 2011 5:15 am UTC

74 = 100101001

by **Lorenz** » Wed Sep 28, 2011 5:16 am UTC

75 = 100101010

by **Sean Quixote** » Wed Sep 28, 2011 5:19 am UTC

76 = 101000000

by **Lorenz** » Wed Sep 28, 2011 5:21 am UTC

77 = 101000001

Is this truly as easy as it looks?

by **Sean Quixote** » Wed Sep 28, 2011 5:31 am UTC

78 = 101000010

Yep. The best fractal patterns always are.

by **Lorenz** » Wed Sep 28, 2011 5:34 am UTC

79 = 101000100
Obligatory

by **a-wan** » Wed Sep 28, 2011 5:34 am UTC

79 = 101000100

by **Sean Quixote** » Wed Sep 28, 2011 5:38 am UTC

81 = 101001000

by **Lorenz** » Wed Sep 28, 2011 5:41 am UTC

82 = 101001001

The section on using Fibonacci numbers to multiply is awesome.

by **Sean Quixote** » Wed Sep 28, 2011 5:41 am UTC

83 = 101001010

by **Lorenz** » Wed Sep 28, 2011 5:42 am UTC

84 = 101010000

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