Hello! Here is a question in my book! Show that characteristic equation for the complement output of a JK flip-flop is
Q' ( t + I ) = J 'Q' + KQ!
My friend told me that J'Q' means J'Q'K and J'Q'K'
and KQ means JKQ and J'KQ on the kmap . So I draw the kmap which is not like the one in the solution. And I am not getting how he is deriving from equation.
The solution is in the picture! Thanks

 

X = X·(Y+Y') = X·Y + X·Y'

 

X = X·(Y+Y') = X·Y + X·Y'

Not getting it !

 

You have a Karnaugh map of the JK characteristic equation. If you minimize the zeroes (instead of the ones), won't you get the complement of the JK characteristic equation?

 

You have a Karnaugh map of the JK characteristic equation. If you minimize the zeroes (instead of the ones), won't you get the complement of the JK characteristic equation?

I am not getting what you are saying. How would I prove that characteristic equation for the complement output of a JK flip-flop is
Q' ( t + I ) = J 'Q' + KQ ?