The 2 to 9 Decoder
by Arto Juhani Heino (c) 2021
The completion of the trinary understanding in relays has been very rewarding, this is my first attempt at a trinary decoder chip version of the 3-8 decider 74138, where a 2-9 decoder TD2-9 is a trinary designed device that would also do the job. It could be fabricated with FETs and miniaturised so it fits onto existing chip boards.
As I see this as my first step into making useful and efficient circuitry based on trinary inputs and easily adapted to the standards in current use. I see great promise in adapting trinary systems to current binary as a step into integration. These ideas are adaptable and flexible to be used in some AI systems. even now.
The long dreamed idea of a trinary system was to advance understanding of natures logic and repair the mistakes made in the service of short gain which is full of hubris and greed. Current digital systems can be 256 wide, but not in most cases they run 64bit and 32bit subsystems even some 16 and 8 bit are in the mix, is all due to the through put required by graphic chips to reduce time lags and memory bottle necks with all that constraint issues.
These behemoth super computer systems are complex to design and control. let us look some maths.
Binary Trinary
0………+ 0 –
2 bit…….3 trit
4 bit…….9 trit
8 bit…….27 trit
16 bit…..81 trit
32 bit…..243 trit at this point we have reached beyond our current systems
64 bit…..729 trit
128 bit…2187 trit
256 bit…6561 trit
512 bit…19683 trit As you can see that 64bit computing is the norm at present and moving into 128bit at lighting pace. Where we could have reached 729 trit in the same time frame. imagine the 64bit super cellphone you hold in your hand would have been the norm in 1980’s. This is the amount of development retardation we were forced to endure due to short sightedness and unripe understanding of all the future issues at hand. This simple list shows one aspect, here the binary decoder version
Binary inputs and Binary outputs
1_______________2
2_______________4……74139
3_______________8……74138……4028
4_______________16….74154
5_______________32
6_______________64
So a 3 to 8 decoder has the trinary equivent of the 2 to 9 decoder, if we ueed 3 inputs we would arrive at 27 outputs, the advantages are simple.
Trinary Inputs and Trinary outputs
Trinary Inputs and Binary outputs
Binary Inputs and Binary outputs
Binary Inputs and Trinary outputs
1___3……..TD1-3
2___9……..TD2-9 can also act like two of 4 bit dual level logic (2 Only gates make a Sure gate)
3___27……TD3-27
4___81……TD4-81
5___243….TD5-243
6___729….TD6-729
There are no off the shelf trinary chips to build useful devices from these decoders as yet.At this present form(very large relays) you could apply these trinary systems to AI of the grid system, where self regulation with the enviroment is required and not optional. As you are dealing with an Earth that has all three parts of the trinary logic, the Sky, the surface and Inner Earth, as ” + 0 – “. I have extended the understanding here to illustrate our well of energy we walk upon.
This diagram illustrates the relay design of the three different trinary gates you need here. You can make the relays a small or big as you need . Everything here is simple and easily built on you electronic bench, please feel free to use these gates in a project.
As now I have decided upon my choice of trinary AND gates, which there are a few, the TAND gates now lives amongst my circuit ideas. More decoders and encoder to be illustrated very soon.
Here is the place this circuit will live, 2 of these to drive the 16 pin 8 x 8 led matrix (ADM-388C0). How simple is that, 4 trinary trits control 81 LED locations, 64 for the Matrix and 17 for other things.Regards Arto.
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