The following arrangement of master-slave flip-flop

Has the initial state of $$P, Q$$ as $$0, 1$$ (respectively). After three clock cycles the output states $$P, Q$$ is (respectively).

The number $$43$$ in $$2's$$ complement representation is

The simultaneous equations on the Boolean variables $$x, y, z$$ and $$w,$$ $$$x+y+z=1$$$ $$$xy=0$$$ $$$xz+w=1$$$ $$$xy + \overline z \overline w = 0$$$
have the following for $$x, y, z$$ and $$w,$$ respectively.

Which function does NOT implement the Karnaugh map given below?