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Mysterious Journey II Hints

I still can't figure out the solution.

  • 1 of 21: Do the decimal numbers represented by the four towers (32, 16, 8, 4) look familiar?
  • 2 of 21: These four numbers represent "powers of 2" -- that is, numbers which are twice as much as the next lower number.  (Another way to look at it is to start with 1, then multiply by 2 to get 2.  Multiply by 2 again to get 4.  Then multiply by 2 again to get 8,  Then again, to get 16.  And once more to get 32.)
  • 3 of 21: It's a fact that any decimal number can be made up by adding only numbers that are "powers of 2".  E.g., 23 can be thought of as 16 plus 4 plus 2 plus 1.  Similarly, 56 would be 32 plus 16 plus 8.
  • 4 of 21: Have you taken the time to make notes of which "laser" lights are turned on at each of the 16 different levels of the elevator?
  • 5 of 21: Do you see anything interesting about the combinations of lights?
  • 6 of 21: Using only four towers (as targets), there are only 16 different possible combinations of lights that could possibly be turned on (including the fact that all four could be off -- which is seen at Level 11).
  • 7 of 21: It is possible to make many other numbers by combining the four numbers represented by the four towers. 
  • 8 of 21: What if the values associated with each tower were added together to generate other numbers?
  • 9 of 21: Now, what does this have to do with the Numbers of Power?
  • 10 of 21: Each of the four Ancient Numbers of Power can be generated by adding one or more of the "tower numbers" together.
  • 11 of 21: For example, the first Ancient Number of Power given to you in the game was 36.  36 is 32 plus 4.
  • 12 of 21: The second Ancient Number of Power was 28.  28 is 16 plus 8 plus 4.
  • 13 of 21: Now you need to find a way to "link up" the towers with the Ancient Numbers of Power.
  • 14 of 21: Remember that each level of the elevator can light up a different combination of lights.
  • 15 of 21: Remember also that leaving a level (without turning off the lights) leaves the appropriate lights on at that level.
  • 16 of 21: See if you can write down how each of the four Ancient Numbers of Power can be calculated from the four tower numbers (4, 8, 16, and 32).
  • 17 of 21: Now, remembering which tower has which number on top, you can assign certain towers to each of the Ancient Numbers of Power.
  • 18 of 21: Using the above example for the first Ancient Number of Power -- 36 -- the first and fourth towers (counting left-to-right when looking out the window) represent 4 and 32, respectively.
  • 19 of 21: Is there any level at which the elevator in the fifth tower may be set, that would send out light beams ONLY to the first and fourth towers?
  • 20 of 21: Level 3 (the third small round button from the left) will place the elevator at a point where two blue "laser" beams will light up towers 1 and 4.
  • 21 of 21: Do the same with the other three Ancient Numbers of Power, moving the elevator to the appropriate levels, turning on the light beams at that level, and moving on to the next Ancient Number of Power.