Results 1 to 2 of 2

Math Help - Bit problem

  1. #1
    Member
    Joined
    Oct 2007
    Posts
    159

    Bit problem

    We are working on determining the number of bits required to represent different decimal numbers. I was doing fine until I hit

    3^1000 Can anyone help me out???? I think I am missing something really basic but alas I know not what!!!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Frostking View Post
    We are working on determining the number of bits required to represent different decimal numbers. I was doing fine until I hit

    3^1000 Can anyone help me out???? I think I am missing something really basic but alas I know not what!!!!
    The number of bits needed to represent an integer N is \lfloor \log_2(N)\rfloor +1 and \log_2(3^{1000})=1000\log_2(3)=1584.96..

    RonL
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum