Binary Divinations

Wikipedia publishes the degree of probability that different methods of creating a ‘random’ hexagram produces.

Whatever way you choose, stick to it! The ancient method proposes 6, 7, 8 and 9 to represent four different lines.

With strictly binary logic, I am proposing the use of 2 coins so that you get – with a 50/50 chance:

  • (10), (00), (11) or (01) to be interpreted as follows:
  • 6 7 8 9Changing Yang: 1 becomes 0
  • Steady Yin: 0 remains 0
  • Steady Yang: 1 remains 1
  • Changing Yin: 0 changes into 1.

Starting with the bottom line, you produce

  1. two groups of three lines for a first hexagram and the second hexagram that follows by copying the steady and the changing lines.


6 or 27 the first hexagram on the left changes into the second hexagram on the right
by applying the values of the changing lines
31 or 43 end

000 0 1 2 3.numbered000 4 5 6 7 numbered
2. You look up the octal numbers for

  • the lower and upper trigrams that make up the first and then the second hexagram.

Matrix with Grid and Numbers

3. You combine two trigram numbers into a hexagram number and look up the two hexagrams that describe the transition you are experiencing.

It is possible that there is no changing line and that the starting hexagram would be the same as the ending one.

That’s when we can choose the second hexagram to be of the ‘numerically symmetric‘ value, such as:

  • 13 is symmetric to 31
  • 42 is symmetric to 24
  • 75 is symmetric to 57.

It is also possible that we get a ‘stable’ hexagram value, i.e. 00, 11, 22 … or 77 as a first or second hexagram.

That’s when we pick a ‘plane’ for our two hexagrams:

  •  00 or Dark (Earth) to 77 or Light (Heaven) – becoming conscious of ourselves and our world – as below:

4 Quadrants 00 77









  • 77 or Light (Heaven) to 00 Dark (Earth) – becoming inspired by the universe of ideas – as below:

4 Quadrants 77 00








The numerical comparison of our two hexagram values determines the plane:

  • If the first hexagram is < or smaller than the second one, we are moving within the upper plane of 00 to 77.
  • If the first hexagram is > or greater than the second one, we are moving within the lower plane of 77 to 00.

The qualitative comparison of our two hexagrams values determines the quadrant:

Stable Unstable

  • if the first and the second hexagram are stable, we see the direction of change in the top right quadrant and likewise in the other quadrants.

We see the direction of change by noticing the position of the hexagrams towards each other in the following context for change across wider polarities:

  • Past Future Yin YangTime: Past into conscious or subconscious memories of our life and Future towards visions, plans and creations.

Are we advised to

  • remember our past and move from the present to the left along our mental timeline
  • or to envision our future and move from the present to the right?
  • Unc Con Yang YinConsciousness: between unconscious ‘fate’ and conscious ‘destiny’:
  • this is the discernment necessary between living passively [unconsciously] along ‘what happens to me’ and consciously accepting ‘what is meant to be’. Hence the difference between ‘passive fate’ and ‘active destiny’ and all shades in between.

Finally, you look up any of the possible interpretations, e.g.:

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