Balanced Ternary - Other Applications

Other Applications

Balanced ternary has other applications besides computing. For example, a classical "2-pan" balance, with one weight for each power of 3, can weigh relatively heavy objects accurately with a small number of weights, by moving weights between the two pans and the table. For example, with weights for each power of 3 through 81, a 60-gram object (6010 = 1T1T0) will be balanced perfectly with an 81 gram weight in the other pan, the 27 gram weight in its own pan, the 9 gram weight in the other pan, the 3 gram weight in its own pan, and the 1 gram weight set aside.

Similarly, consider a fractional currency system with the coin 1¢,3¢,9¢,27¢,81¢. The buyer and the seller have just a set of coins each, the bill(under 121¢) may be paid-up. For example, a 7¢(+-+) business, the buyer pay with 1¢ coin and 9¢ coin, and the seller pay back with 3¢ coin, the bill is paid-up!

Consider a 9-hours clock(Morning hours, Working hours, Evening hours). A day = 27 hours, 1 hour = 40(0000~1111/0000, The 1111 is used for a leap second) minutes, 1 minute = 40(0000~1111/0000) seconds.Now, 09:52:03 is 0T0:0011:0001, the third hour before NH, the fourth minute of the hour, the first second of the minute.

Dawn hour(DA,T00:0000-T00:1111), Noon hour(NH,000:0000-000:1111), Dusk hour(DU,100:0000-100:1111)

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