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Expert puzzle

  1. Aug 18, 2004 #1
    what is 2+2?
     
  2. jcsd
  3. Aug 18, 2004 #2
    Lots of possible answers:

    Using the + symbol as a Logical OR, the answer is 2

    In base 3 the answer is 11

    In base 4 the answer is 10

    In every other possible base, the 'normal' answer is 4

    I'm sure there are many other possibilities...
     
  4. Aug 18, 2004 #3
    G = {Z,+,*}
    2 e Z
    2+2 e Z
    :p
     
  5. Aug 19, 2004 #4
    Base??? :confused:

    The Bob (2004 ©)
     
  6. Aug 19, 2004 #5
    I am going to say 2+2 is 2+2 as the question does not say 'what is the answer to 2+2?' or 'what does 2+2 equal?'

    My Answer: 2+2

    The Bob (2004 ©)
     
  7. Aug 19, 2004 #6
    The ? may indicate another digit, so it could read 2+21 or 2+22 etc, etc
     
  8. Aug 19, 2004 #7
    man your stupid, 2+2=4 even a 5 year old would know that
     
  9. Aug 19, 2004 #8
    then its not really an expert puzzle now is it?
     
  10. Aug 19, 2004 #9

    Gokul43201

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    Staff Emeritus
    Science Advisor
    Gold Member


    And you must be about 7 years old, because even an eight-year-old will know that the correct word to be used in your punctuation challenged "sentence" - the only puctuation used is the wrong one and you really should have three sentences there - is "you're", not "your" !

    <Just a note that I'm aware of the 'conjunction rule' which is really archaic - in case you were planning on bringing that up.>
     
  11. Aug 19, 2004 #10
    Good one, Goku. You say what I think.
     
  12. Aug 20, 2004 #11
    So what was the point in posting it gabe if you didn't want an unusual answer???

    The Bob (2004 ©)
     
  13. Aug 20, 2004 #12
    lol... trollism at its finest.
     
  14. Aug 20, 2004 #13
    it was a joke!!! man that was funny :rofl:
     
  15. Aug 20, 2004 #14
    All your base are belong to us. :wink:
     
  16. Aug 21, 2004 #15
    :confused: :confused: :confused: :confused: Not getting it at all.

    In Confusion
    The Bob (2004 ©)
     
  17. Aug 21, 2004 #16
    123 can be written as,
    1*10^2 + 2*10 + 3
    This representation as we know it is called the decimal representation.
    Also this is called the *base 10* representation
    cuz the number is written in the powers of 10.
    In general a base 10 number can be written as,
    a_n*10^n + ....+a_1*10+a_0
    where 0<= a_i <=9 for all 0<=i<=n

    As we can have base 10 representaion then we can have any base 'r' representation ...
    A base r number can be represented as,
    a_n*r^n + ....+a_1*r+a_0
    where 0<= a_i <=r-1 for all 0<=i<=n

    e.g "5 in base 10" is "101 in base 2"
    note that : 1*2^2 + 0*2 + 1 = 5

    Hope this helps.
    -- AI
     
  18. Aug 21, 2004 #17
    I think it will help and has but could you please write out the bases, above, and their equations, like at the top of your post.

    So 5 in base 10 = 5
    101 in base 2 = 5 because 1*2^1 + 0 + 1????

    Sorry I am a pain but I have little understanding of this.

    Thanks

    The Bob (2004 ©)
     
  19. Aug 21, 2004 #18
    In base 10 we have 10 different symbols: 0,1,2,3,4,5,6,7,8,9

    In (say) base 4, we only have four symbols: 0,1,2,3

    so counting in base 4 looks like this: 0,1,2,3,10,11,12,13,20,21,22,23,30...

    The 'ultimate' low base is base 2 where only two symbols are used: 0,1

    This base is used by computers as the 0 and 1 can be easily represented by the absence or presence of a voltage, or current, or charge etc. Because it is so widely used, Base 2 has a special name: Binary.

    Counting in Base 2 (aka Binary) looks like this: 0,1,10,11,100,101,110,111,1000...

    Hope that helps.

    'All of your base are belong to us' is a cult-saying on the internet. It came from a video game. Try googling on it to find more, if you're interested.
     
  20. Aug 22, 2004 #19
    I GET IT. :biggrin: Man, I am slow.

    Sorry guys, I took ages to get that.

    Thanks TenaliRaman and Ceptimus. Appreciate the help. :biggrin:

    The Bob (2004 ©)
     
  21. Aug 22, 2004 #20
    In base 1 how would zero be expressed? Would one count like:
    0,00,000,0000 etc
    or no zero and do 1,11,111,1111 ?
     
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