It's not a binary choice. Independent boffin builds a ternary CPU on an FPGA

The 5500FP is a ternary CPU implemented on an FPGA. It's not very fast, but it makes it easier to experiment with computers ...
Hackaday

Ternary RISC Processor Achieves Non-Binary Computing Via FPGA

You would be very hard pressed to find any sort of CPU or microcontroller in a commercial product that uses anything but binary to do its work. And yet, other options exist! Ternary computing ...