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Incas Used Binary?

Abhijeet Chavan writes "An article in the Independent reports that a leading scholar believes the Incas may have used a form of binary code 500 years before computers were invented. 'Gary Urton, professor of anthropology at Harvard University, has re-analysed the complicated knotted strings of the Inca - decorative objects called khipu - and found they contain a seven-bit binary code capable of conveying more than 1,500 separate units of information...If Professor Urton is right, it means the Inca not only invented a form of binary code more than 500 years before the invention of the computer, but they used it as part of the only three-dimensional written language.'"

5 of 477 comments (clear)

  1. Re:7 bits? by Anonymous Coward · · Score: 4, Interesting
    From the article:
    In a strict seven-bit code this would give 128 permutations (two to the power of seven) but Professor Urton said because there were 24 possible colours that could be used in khipu construction, the actual permutations are 1,536 (or two to the power of six, multiplied by 24).
  2. Re:7 bits? by arth1 · · Score: 4, Interesting

    Using 24 colors seems rather stupid to me. What if you're out of pigment #21? And what about when it's dark and you have to use artificial lights (read: torches) -- will you be able to tell that a dot is burgundy and not brown?

    Occam's razor dictates that the professor is wrong.

    Anyhow, archeologists a few thousand years from now will probably look at an old copy of WIRED and say the same thing about us.

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  3. Not 1500 units of information by p3d0 · · Score: 5, Interesting
    After multiplying the different permutations of the knots, they reach the conclusion that there are 1536 possibilities, and then go on to state that "This could mean the code used by the makers allowed them to convey some 1,536 separate units of information".

    That is a poor interpretation. 1536 possibilities allows someone to encode 10.6 bits of information. To encode 1536 "separate units" of information, each unit must represent no more than 1/145th of a bit. That is a very, very small amount of information, equivalent to having someone tell you something you were already 99.5% sure was true, such as "wow, this poker hand is not a straight!" or "guess what, my birthday this year does not fall on Friday the 13th".

    It may be closer to the truth to say their knot language had 1536 different symbols, as compared with the 50-or-so letters, numbers, and punctuation marks we use in English.

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  4. Incas used base 10 by UCRowerG · · Score: 4, Interesting
    According to this website (thank you, Google), Incas used a base 10 system for numbering, while all their neighbors used base 60. If this is true, I would venture to say that the 7-bit quipu system was just large enough for their other records, same as the original 7-bit ASCII was for the standard western alphabet.

    I also found more detailed information on quipus, if anyone is interested.

  5. Re:"before computers"? by bj8rn · · Score: 4, Interesting
    using the invention of computers as your compare date makes little sense

    Makes just as much sense as comparing all dates to the birthday of one Jesus, son of Joseph the carpenter. It's just an arbitrary point in time that is supposed to demonstrate something. Relating the time to George Boole's accomplishment would have been more informative, that's true, but I don't think most of the people even know who Boole was, not to mention when he lived (I don't know when he lived. 19th century?). Hell, not too many people know when the first electronic computers were built, either, but they have more clue about it than Boole.

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