Ternary vs Binary

Binary is flat out the better easier cheaper option for computing due to the very nature of how transistors work and current fabrication technology. However it does not mean we can't still explore ternary computer design.

Maybe in the future someone will discover a semiconductor or material/atomic science electrical switch that supports three states as intrinsically as transistors and binary.

Balanced ternary is almost 'pretty'. It handles negatives naturally without numbers compliment. Unsigned ternary requires messy 3s compliment addition to handle negative numbers and subtraction. Just like 2s compliments with binary. Unsigned ternary may have faster adder logic than balanced but the added complexity of 3s compliment does not seem like a good tradeoff.

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Balanced Ternary	Binary	Unsigned Ternary
Negative, Zero, Positive	Zero One	Zero, One, Two
- 0 +	0 1	0 1 2
Natural Negatives	Two's Complement	Three's Complement

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Power of 3				Power of 2
30	1	?		1	20
31	3	±1		2	21
32	9	±4		4	22
33	27	±13		8	23
34	81	±40		16	24
35	243	±121		32	25
36	729	±364		64	26
37	2187	±1093		128	27
38	6561	±3280		256	28
39	19683	±9841		512	29
310	59049	±29524		1024	210
311	177147	±88573		2048	211
312	531441	±265720		4096	212

* Magic Number