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 ...
PC Magazine

binary computer

(1) A regular computer. The term binary computer may refer to a "classical" computer, meaning "not" a quantum computer. See quantum computing. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other ...
Popular Mechanics

DNA Computer Can Calculate the Square Root of 900

A new DNA computer calculates square roots of perfect squares up to 900. Like quantum computers, DNA computers are an exciting frontier of post-silicon computing. Where previous examples were up to 4 ...
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 involves ...