Deleted.

Oh. Sorry. For some reason I missed the detail on your original post which describes how the sensors are to be interpreted.

You've been given a wiring diagram to follow ?

Have you got this far ?

  1. The east - west (E - W) traffic light will be green whenever both lanes D and B are occupied.
  2. The E - W light will be green whenever either D or B is occupied but lanes A and C are not both occupied.

It would look like this in a truth table:

sensorA  sensorB sensorC sensorD   LightEW  LightNS
   X       HIGH    X       HIGH     GREEN    -          (from statement 1)
 LOW       HIGH   LOW      HIGH     GREEN    -          (from statement 2)
 HIGH      HIGH   LOW      HIGH     GREEN    -          (from statement 2)
 LOW       HIGH   HIGH     HIGH     GREEN    -          (from statement 2)

etc.
X = don't care

Then you have to complete and refine it.

Edit: crossed with your post.