This is a Concept i been messing with in my free time for about 3 semesters and is the idea of what i think ternary logic might boil down to when given three variables as if u would as an example 0,1 is binary but what if ternary used something like A,B,C or 0,1,2 (all combinations of three things would work for ease of understanding and readability i will be using A,B,C)

• http://en.wikipedia.org/wiki/Ternary_computer :: what is Ternary or Ternary computing simple put its the use of 3 states instead of the more common and standard binary or 2 state computing
• http://en.wikipedia.org/wiki/Ternary_numeral_system :: number system conversions for decimal binary and ternary
• http://en.wikipedia.org/wiki/Ternary_logic :: one possible way to use Ternary logic (i don't like it leaves to much out and a lot of data could be more utilized
• http://stackoverflow.com/questions/764439/why-binary-and-not-ternary-computing :: Started reading this but realized it was far beyond where i was in the logic steps and still am
• http://tunguska.sourceforge.net/docs.html :: a report and manual i found about Ternary computing that will be useful if i ever deiced to make an emulator

Ternary logic gates

possible ternary inputs and out puts A B C

Part 0x0

The idea I am working on is not one output for every input, but two outputs for every input

Example 0x0

   /-B

(A)-*

   \-C

Part 0x1

However with this method the multiple combinations are near endless and must be ordered and managed which i have come up with a ordered set in ordered to understand what to do.

Example 0x1

    /-B(first to be processed)

(A)A-*

    \-C(second to be processed)

(B):C is to be processed first B second (C):both B and C are waiting for the third input

Which would indicate a second A which would tell the system to process the B or first order in order of possible inputs/outputs

Part 0x2

Now we are posed with another problem how to indicate if you want to use the second output at all how to indicate that is such

Example 0x2

     /-B(to be processed entirely including potential outcomes of process)

(A)AA-*

     \-C(to be dropped from process tree)

(B):C is to be processed entirely including potential outcomes of processand B is to be droped (C):Defualts to process B frist but only section one at a time which means to process Bs frist three outputs then Cs frist three outputs then back to B

so in essance a data stream will look like 3 sets of 3 inputs to get one or Two 1 set of 3 out put

part 0x3

Which brings me to name a set of 3 inputs is to be a Tryte and a single input to be called a Tithe

Possible single Tryte

AAA|BBB|CCC
AAB|BBA|CCA
AAC|BBC|CCB
ABA|BAB|CAC
ACA|BCB|CAB
ABB|BAA|CBA
ABC|BAC|CBC
ACA|BCC|CAA
ACB|BCA|CBB
ACC| |

Some may be missing

part 1×0

A new concept nearly 2 years later how would a system denote a binary versus a trinary program execution and how it would run

the simplest idea is the file extension once its been written such as exe for a windows executable the ternary system would see exe and say binary where say it would see tex such as tinary executable and would say execute as a ternary program

:DISCLAIMER: the .tex extension is not a certain extention it is used only as an example to show a difference

example 1×0

steam.exe versus steam.tex

steam.exe will have a Ternary notation in how to process which would be a A followed by the next two bits represented by B or C for simplicity if a double A is found it will denote end of command or input and a will be follow by a extension either A B or C telling what it will pull next

steam.tex will run as stated above with one input and one or 2 outputs depending on the sequence of the input

part 1×1

binary ternary comparison

given an exe will denote a binary executable

A will begin each set of 2 bits and will run 5 tryte at a time to get a full byte this will continue to run untill it denotes a double AA at the beginning of a tryte and the 3rd trinary integer will denote pull next, stop, or repeat as in A pull next, B stop, or C repeat previous input process.

1×1 example

for this example let B = 1 and C = 0

ABC in binary running in ternary would display 10
ACB in binary running in ternary would display 01
ABB in binary running in ternary would display 11
ACC in binary running in ternary would display 00

so take the previous 4 Trytes and display binary in sqeuence with a AA followed by a B in 5th tryte
(thrid Ternary integer is a B denoting stop) so if we pull a
ABCACBABBACCAAB : 10011100
in binary and to spread it out to make it more readable we would see
ABC ACB ABB ACC AAB : 10 01 11 00
if we break it down farther we would get
ABC : 10
ACB : 01
ABB : 11
ACC : 00
AAB : AA denotes end of byte B declares stop

continuing this process we follow the ABCACBABBACC with not a AAB but a AAA and we would pull the next since the 3rd ternary integer is A meaning pull next 5 trytes and process so we pull an additional ABCACBABBACCAAB so we see a
ABCACBABBACAAAABCACBABBACCAAB : 1001110010011100
is the full input in ternary and output in binary
ABC ACB ABB ACC AAA ABC ACB ABB ACC AAB : 10 01 11 00 10 01 11 00
to break it down farther we get
ABC : 10 ACB : 01 ABB : 11 : ACC : 00 AAA : byte is finished pull next five tryte ABC : 10
ACB : 01 ABB : 11 ACC : 00 AAB : byte is finished and stop
and finaly we end with a tryte to binary ending in C so
ABCACBABBACCAAC : 1001110010011100
break down by tryte
ABC ACB ABB ACC AAC : 1001110010011100
break down farther
ABC : 10 ACB :01 ABB : 11 ACC : 00 AAC : 10011100

Other thoughts:

This idea and concept opposes most conventional methods to process data and can be and is confusing to someone who is looking at the standard binary transistor that deals with only two states which i have no idea how to implement the idea

:DISCLAMER: MIND YOU ALL OF THIS IS AN IDEA IN MY HEAD AND I ONLY USE A B AND C TO REPRESENT THIS IDEA, IT COULD BE ANYTHING YOU WISH AND YOU DON'T HAVE TO AGREE OR EXCEPT THIS IDEA!