Balanced Ternary Expansion in Finance
Balanced ternary is a signed place value system. Each digit can be negative, zero, or positive. This makes it different from ordinary ternary. Ordinary ternary uses 0, 1, and 2. Balanced ternary uses -1, 0, and 1. The symbol T is often used for -1. This calculator uses that convention by default.
Why Finance Models Can Use It
Finance often handles gains, losses, credits, debits, and offsets. A signed number system can describe those movements directly. Each power of three can add value, remove value, or stay unused. This makes the expansion useful for teaching, audit trails, encoding tests, and numeric model checks.
Scaled Amounts
Money values usually contain decimals. Exact calculations are safer when amounts are scaled first. A scale of two converts dollars to cents. A value of 125.75 becomes 12575. The calculator then creates the balanced ternary form of that integer. The final table shows the scaled contribution and the finance amount contribution.
Digit Contributions
Every row in the result table shows one digit. It also shows the power, the weight, and the signed contribution. A digit of 1 adds that weight. A digit of T subtracts that weight. A digit of 0 adds nothing. The sum of all contributions rebuilds the original scaled integer.
Rounding Control
Advanced finance work needs clear rounding. This tool supports half up, half down, half even, truncation, ceiling, and floor. These choices help compare ledger rules, tax rules, contract rules, and model policies. Always choose the rule that matches your financial process.
Export Review
The CSV export is best for spreadsheets. It includes every row of the expansion table. The PDF export is useful for a compact report. These downloads help document assumptions and share results during review. They also support repeated testing across positive and negative values.