imagine

a personal computer with a trinary system instead of binary system

a normal PC does constant binary calculations
a 64 bit operating system can hold alot of data
if all bits were 1 we would have a number of 18446744073709551616 (2^64)
which again, is alot

a trinary would have 3 states instead of 2
so with 2 tri's we would have a max of 6 (if all were 2) so a max of 7 possibilities with 2 tri's
while with only 2 bits we would have a max of 4 possibilities

i might be stupid and explaining it wrong
im not a computer scientist after all so

https://en.wikipedia.org/wiki/Binary_system
https://en.wikipedia.org/wiki/Ternary_numeral_system

ok, but why?

Imagine there's no heaven
It's easy if you try
No hell below us
Above us, only sky
Imagine all the people
Livin' for today
Ah
Imagine there's no countries
It isn't hard to do
Nothing to kill or die for
And no religion, too
Imagine all the people
Livin' life in peace
You
You may say I'm a dreamer
But I'm not the only one
I hope someday you'll join us
And the world will be as one
Imagine no possessions
I wonder if you can
No need for greed or hunger
A brotherhood of man
Imagine all the people
Sharing all the world
You
You may say I'm a dreamer
But I'm not the only one
I hope someday you'll join us
And the world will live as one

imagine asteroid hit us tmrw

because we do not need more than the states we can represent with 1/0 for most computation (considering all of the logic gates we can make out of just both)

Imagine dragons (the misery)

The problem with this will most likely be error correction. The binary systems work so well because there are very robust error correction algorithms that allow us to build comupters on the very limit of physics and be fine. A ternary system would need to encode three states, which would add some uncertainty to the state. If you are able to somehow extend our existing error correction to the ternary system maybe it would work but at that point why stop at 3? Quantum computers technically encode a lot more data since you can fit a lot of information in the superposed state. Interestingly the only reason we don't have quantum computers already is error correction. It's an open unsolved problem as of now.

correct me if im wrong, im no computer scientist, but isn't the whole point of the binary system that it relies on the computers ability to recognize two states ( on and off in electrical circuits) and thus code data with 0 and 1s? How would that work in the trinary system

long story short from my zero knowledge on the topic:
nobody is doing allat

you are not beating the stinky allegations

building a computer with a tertiary system would be practically unfeasible. ignoring the fact that re-designing every computer part from a binary model to a ternary model (which is the most challenging factor about all this), modern computers have binary parts that are so optimized it would literally take decades before a ternary system to replicate modern optimization.

also binary systems are much much more reliable because you are only differentiating two states of voltage instead of three in a ternary model, making any other model much more prone to failure due to the smaller margin of error. currently, most people are okay with computer parts failing every couple of years, but with a ternary model is much more prone to like a small voltage fluctuation.

allat summarized: its a lot simpler, cheaper, faster, and more reliable to build binary computers

I mean I don't know enough about the topic either but aren't quantum computers the final evolution of your idea