For Jk Flip flop, the characteristic equation is:

Plot a graph for the following polynomials each with x=-100 to +100 with a change in x as 0.2 a) f(x)= x(x-2) (x-1)(x+1) b) f(x) = -(x-2) (x-1)(x+1) ) f(x) = -x(x-1)(x+1)(x-2) d) f(x) = (1-x)(x+1) (x-2) Write c++ code that will output all the values of f(x) given values of x. Do it for a, b, c and d above.

For the K-map where the X input is down and the Y input is across, which one of these is a simplified expression? F(x,y)=y F(x,y)=x'+y' F(x,y)=x+y' F(x,y)=(xy)' F(x,y)=x+y F(x,y)=xy

Apply alpha-beta pruning. Show every step in details