Base 3

Binary is robust. A switch is either on (1) or off (0). It is very easy to distinguish between a high voltage and a low voltage. In base 3, a circuit must distinguish between three distinct states—positive voltage, zero voltage, and negative voltage (or high, medium, and low). This requires significantly more complex hardware and is more susceptible to "noise" or signal interference.

When we count, we almost instinctively use the decimal system (base 10). We have ten distinct symbols—0 through 9—and when we run out, we carry over to the next column. In the modern technological era, we have also become intimately familiar with base 2, or binary, the language of computers composed entirely of zeros and ones. However, nestled between these two familiar systems lies a fascinating and often overlooked mathematical structure: base 3, or the system. base 3

Modern researchers are looking into "multi-valued logic." If a single memory cell can hold three states instead of two, information density increases significantly. Binary is robust

Counting works like any base: increment the rightmost digit; when it exceeds 2, set it to 0 and carry 1 to the left. In base 3, a circuit must distinguish between

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| Decimal | Base 3 | |---------|--------| | 0 | 0 | | 1 | 1 | | 2 | 2 | | 3 | 10 | | 4 | 11 | | 5 | 12 | | 6 | 20 | | 7 | 21 | | 8 | 22 | | 9 | 100 | | 10 | 101 | | 11 | 102 | | 12 | 110 | | 13 | 111 | | 14 | 112 | | 15 | 120 | | 16 | 121 | | 17 | 122 | | 18 | 200 | | 19 | 201 | | 20 | 202 |