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!!!

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- May 3rd 2011, 03:39 PMnicola5Modular 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!!! - May 3rd 2011, 06:28 PMtonio
- May 3rd 2011, 11:07 PMchisigma
The 11 is a prime number so that http://quicklatex.com/cache3/ql_fce9...05ef7d9_l3.png is http://quicklatex.com/cache3/ql_2e5c...a9effab_l3.png and that means that...

http://quicklatex.com/cache3/ql_d837...66a2b26_l3.png (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...] http://quicklatex.com/cache3/ql_3bc6...3ecdbbb_l3.png (Wink)...

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$