Description
Map one balanced-ternary symbol T, 0, or 1 to its numeric digit value.
A positional representation depends on its radix, digit range, sign convention, and treatment of leading zeros. Ordinary bases use digits from zero through radix minus one, while negative and bijective bases have different conversion rules. A single carry, borrow, or denominator step is distinct from formatting a complete number.
Map one balanced-ternary symbol T, 0, or 1 to its numeric digit value.
When to use this tool
Use Balanced Ternary Single Digit Value when you need this digit, carry, borrow, sign, width, or denominator component for an explicit radix convention.
How to use the tool and how it works
- Enter symbol. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read value. Use the output convention below.
Accept symbol T,0,or 1 and return value=-1 for T, zero for 0, or one for 1.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| symbol | Symbol | Required. Text; one of "T", "0", "1"; maximum UTF-16 length 8192. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| value | Supplied scalar or returned value under the stated operation. | Required. Safe integer. |
{
"input": {
"symbol": "T"
},
"output": {
"value": -1
}
}Limitations and assumptions
- This is a single balanced-ternary symbol mapping. Lowercase t and other negative-one conventions are unsupported, and no multidigit string, place value, or arithmetic operation is evaluated.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
Alternative or Complementary methods
Choose the full conversion or formatting workflow for the intended representation. Keep radix, digit alphabet, leading-zero width, signed-zero handling, and terminating/repeating-fraction assumptions explicit.
References
Similar or alternative tools
- Balanced Ternary Single Digit Carry
For a safe integer value compute digit=((value+1) modulo three)-1 and carry=(value-digit)/3.
- Integer Negabinary Digit Parity
Count the ones and digit length in the canonical base −2 expansion, including one zero digit for zero.