We CAN! and we have. [Ternary Computers](https://en.wikipedia.org/wiki/Ternary_computer) have been made. I had a professor who was tasked with using one once. They asked basic questions like “Where’s the math operators like 2 to the power of X or the sine of 90 degrees?” and the answer was “well you get to make those”. Turns out that was a hellish amount of work. Imagine just re-doing all the work that has been done in Computer Science over the last 70 years by all the professors and engineers in the world.
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