Results 1 to 3 of 3

Math Help - Modular arithmetic

  1. #1
    Newbie
    Joined
    May 2011
    Posts
    5

    Modular arithmetic

    So how does one calculate say 2^9 in the filed F_11( the set of integers of mod11 wrt multiplication)?
    Simple , I know but I just cant seem to get it!!!
    Last edited by nicola5; May 4th 2011 at 03:37 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by nicola5 View Post
    So how does one calculate say 2^9 in the filed F_11( the set of integers of mod11 wrt multiplication)?
    Simle , I know but I just cant seem to get it!!!

    Well, it's easy to check that 2^5 = -1 (mod 11) , so...

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    Quote Originally Posted by nicola5 View Post
    So how does one calculate say 2^9 in the filed F_11( the set of integers of mod11 wrt multiplication)?
    Simle , I know but I just cant seem to get it!!!
    The 11 is a prime number so that is and that means that...

    (1)

    ... which is the multiplicative inverse of 2 You will easily find... in is 'interesting' the fact that the same result You arrive also for [among many other examples...] ...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. modular arithmetic help
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: May 9th 2011, 05:50 AM
  2. Modular arithmetic
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: May 3rd 2011, 01:37 PM
  3. Modular Arithmetic
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: March 28th 2010, 05:08 AM
  4. Modular arithmetic
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: December 13th 2008, 03:17 PM
  5. modular arithmetic
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: April 25th 2007, 08:39 PM

Search Tags


/mathhelpforum @mathhelpforum