haggy Posted October 21, 2004 Share Posted October 21, 2004 This is very useful. Can you explain why 8765^4321 mod 9 = 8^4321 mod 9?Although I know 8765 mod 9 = 8. It's just the basic rules of modular arithmetic. Google "modular arithmetic". Remember' date=' I'm using the "=" sign instead of the congruence sign. It's just quicker to type =. Similarily, why 8^2160 mod 9 = 8? I didn't say that. I said: 8^2 = 64 = 1 mod 9 Therefore, (8^2)^2160 = (1)^2160 mod 9 Link to comment Share on other sites More sharing options...
Guest wk4bd Posted October 27, 2004 Share Posted October 27, 2004 I got it now, thank you. actually 8 mod 9=-1, Link to comment Share on other sites More sharing options...
Callipygous Posted October 27, 2004 Share Posted October 27, 2004 8 mod 9 should be 8. Link to comment Share on other sites More sharing options...
Primarygun Posted October 28, 2004 Share Posted October 28, 2004 When will the mod be taughted to us? I learnt it myself. Link to comment Share on other sites More sharing options...
Dave Posted October 28, 2004 Share Posted October 28, 2004 It's not something you'll find outside university level (normally). I've only just started it properly at the end of last year (in the 1st year of my maths degree), and that was nothing but a cursory glance. If you do a degree that involves quite a lot of maths (Physics, Computer Science, etc) you'll get a maths course in the first year that will probably have some kind of introduction to modular arithmetic. Link to comment Share on other sites More sharing options...
Primarygun Posted October 29, 2004 Share Posted October 29, 2004 Is engineering more interested than science? Link to comment Share on other sites More sharing options...
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