Follow the randomly-bouncing ball

Question

We are going to generate information out of nothing (well, nothing and a bit of something) just by randomly bouncing a ball. The result will be a message you can use to protect humanity.

Let's use the random number generator from "Numerical Recipes":

x[n+1] = (1664525 * x[n] + 1013904223) mod 2^32

Behold, the primitive universe:

   |         SOMETHING (1)         |          NOTHING (0)          |
---+-------------------------------+-------------------------------+---------->
   |                               |                               |           x
   0                              22^7                             2^32

Starting from x[1] = 4111833843, bounce the ball within the primitive universe to generate a sequence of 34 bits:

  _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _

Now, condense each bracketed quintuple of bits into a single letter in a logical way:

  _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _   _
|       |       |   |   |   |       |   |   |               |   |   |   |       |   |   |   |   |   |               |                   |
|_______|_______|___|   |   |       |   |   |               |   |   |   |       |   |   |   |   |   |               |                   |
        |       |       |   |       |   |   |               |   |   |   |       |   |   |   |   |   |               |                   |
        |_______|_______|___|       |   |   |               |   |   |   |       |   |   |   |   |   |               |                   |
                |       |           |   |   |               |   |   |   |       |   |   |   |   |   |               |                   |
                |_______|___________|   |   |               |   |   |   |       |   |   |   |   |   |               |                   |
                        |               |   |               |   |   |   |       |   |   |   |   |   |               |                   |
                        |_______________|___|               |   |   |   |       |   |   |   |   |   |               |                   |
                                        |                   |   |   |   |       |   |   |   |   |   |               |                   |
                                        |___________________|   |   |   |       |   |   |   |   |   |               |                   |
                                                            |   |   |   |       |   |   |   |   |   |               |                   |
                                                            |___|___|___|_______|   |   |   |   |   |               |                   |
                                                                |   |   |       |   |   |   |   |   |               |                   |
                                                                |___|___|_______|___|   |   |   |   |               |                   |
                                                                    |   |       |       |   |   |   |               |                   |
                                                                    |___|_______|_______|   |   |   |               |                   |
                                                                        |       |           |   |   |               |                   |
                                                                        |_______|___________|   |   |               |                   |
                                                                                |               |   |               |                   |
                                                                                |_______________|___|               |                   |
                                                                                                |                   |                   |
                                                                                                |___________________|                   |
                                                                                                                    |                   |
                                                                                                                    |___________________|

Maintaining their order, write the 12 obtained letters into the intervals of the continuum below:

        _         _         _         _         _         _         _         _         _         _         _         _
   |         |         |         |         |         |         |         |         |         |         |         |         |
---+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------->
   |         |         |         |         |         |         |         |         |         |         |         |         |           x
   0        24^6      12^8      18^7      58^5      70^5      15^8     (7/6)^141  78^5      38^6    (12/11)^251  40^6      2^32

Starting from x[1] = 3047615877, bounce the ball within the letter continuum above to generate the message:

_  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _

Print this message out and keep it securely in your wallet, purse, back pocket, or under your pillow at all times.

If the message does not seem familiar, you can produce a translation with more bouncing of the ball.

Starting from x[1] = 3134682659, bounce the ball within the primitive universe to generate a selector sequence of 21 bits. Apply the selector sequence to the 21 letters of the message. I.e., if the selector sequence bit is "1" then select the corresponding letter and put it into the continuum below. If the selector sequence bit is "0" then skip the corresponding letter.

        _         _         _         _         _         _         _         _         _
   |         |         |         |         |         |         |         |         |         |
---+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------->
   |         |         |         |         |         |         |         |         |         |           x
   0         2^30      5^13      2^31     15^8     (7/4)^39   38^6      23^7       3^20      2^32

Starting from x[1] = 1172112096, bounce the ball within the above continuum to generate the 13 letters of the translation:

_  _  _  _  _  _  _  _  _  _  _  _  _

Answer 1

Following the instructions gives us the following sequence:

Each of the numbers gives a bit, as the diagram shows. Extracting quintuplets of consecutive bits, and converting them to letters using five-bit binary (A=00001, B=00010...) gives the following sequence:
L R K N O A B D I G T U.

Now, we repeat, using the twelve letters we've extracted:

The message appears to be GORT KLAATU BARADA NIKTO.

Well, I don't know what that means. (Never mind the fact that I spaced it in a particular way.) Let's try to translate it.

Following the directions a third time gives us the "selector sequence":

This selects the letters O R L B D N I K T.

And following the directions a fourth time, using our new mapping, gives the translation:

ROBOT, DON'T KILL.

---

Context:

The message is a famous line from The Day the Earth Stood Still, and while its translation is never given, it's used to stop the robot Gort from using deadly force.