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Math Help - Formal Logic

  1. #1
    Super Member Aryth's Avatar
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    Formal Logic

    A memory chip from a microcomputer has 2^4 bistable (ON-OFF) memory elements. What is the total number of ON-OFF configurations?

    I have no idea where to start here. The book says:

    2^{2^2} = 2^{16}

    Or something along those lines, the 2^{16} is there, but I'm not sure that that's how they arranged the twos, either way, it confuses me.

    Should it be:

    2^{4^2} = 2^{16}?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Aryth View Post
    A memory chip from a microcomputer has 2^4 bistable (ON-OFF) memory elements. What is the total number of ON-OFF configurations?

    I have no idea where to start here. The book says:

    2^{2^2} = 2^{16}

    Or something along those lines, the 2^{16} is there, but I'm not sure that that's how they arranged the twos, either way, it confuses me.

    Should it be:

    2^{4^2} = 2^{16}?
    The number of configurations of N bits is 2^N, in this case N=2^4, so the number of configurations is 2^{2^4}=2^{16}.

    RonL
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  3. #3
    Super Member Aryth's Avatar
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    That makes a lot more sense.

    The book's answer threw me off.

    Thanks.
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