Design a sequential circuit (electronic compass) with a single input t and outputs a and b that behaves as follows. in the following, input t indicates the direction the person is turning to:
o t = 0 if turning 90 degrees to the right, and
o t = 1 if turning 90 degrees to the left.
the outputs indicate the binary code of the direction the person is facing after the turn:
north: ab = 00,
east: ab = 01,
south: ab = 10,
west: ab = 11.
implement this circuit as a finite state machine with four states, n, e, s, w, (for north, east, south and west).