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Brain Teaser #5

  1. Jul 4, 2003 #1
    I guess I dont have access to the brain teaser forum. This one kinda confused me:

    Using “Only Four” ZEROS (0) and any Mathematical Operations/Symbols, to obtain the number 24.

    Answer is (0! + 0! + 0! + 0!)! = 24


    I know im a bit rusty with hex/binary arithmatic but the answer i get with (0! + 0! + 0! + 0!)! is 3 assuming 8 bits:

    0! = 0xFF and assuming no carry over:

    0xFF + 0xFF = 0xFE

    so (0xFF + 0xFF + 0xFF + 0xFF) = 0xFC

    !0xFC = 3 Right? Where did I go wrong?
     
    Last edited by a moderator: Jul 4, 2003
  2. jcsd
  3. Jul 4, 2003 #2

    drag

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    Science Advisor

    Yeah... I was wondering about the same thing.
    0! is a factorial, just like n! for example with n
    being any natural number. However 0! = 1.

    Live long and prosper.
     
  4. Jul 4, 2003 #3
    LOL you beat me to it, just got schooled from my wife of all people!

    She said !0 would be 0xFF, but 0! = 1.

    Factorial notation comes AFTER the value.

    and 4! = 24.
     
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