Description
Parse exact decimal integer strings for smallest units and two positive bases.
Historical currencies may divide major units into several levels with nondecimal bases. Supplied denomination arithmetic can preserve exact quantities, but it does not establish an exchange rate, purchasing power or the identity of an actual coin.
Parse exact decimal integer strings for smallest units and two positive bases.
When to use this tool
Use Historic Currency Division Remainder when you need a supplied historical denomination conversion or integer split.
How to use the tool and how it works
- Enter smallestUnits, unitsPerMajor, unitsPerMiddle. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read majorDecimal, middleDecimal, remainderDecimal. Use the output convention below.
Parse exact decimal integer strings for smallest units and two positive bases. Require major base divisible by middle base; split into major quotient, middle quotient of remainder and smallest remainder, all decimal strings.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| smallestUnits | Smallest Units | Required. Text; maximum UTF-16 length 8192. Integer syntax: optional + or - and 1-128 decimal digits; leading zeros accepted. Apply the sign restriction above. |
| unitsPerMajor | Positive exact integer smallest units per major unit. | Required. Text; maximum UTF-16 length 8192. Integer syntax: optional + or - and 1-128 decimal digits; leading zeros accepted. Apply the sign restriction above. |
| unitsPerMiddle | Positive exact integer smallest units per middle unit; must divide major base. | Required. Text; maximum UTF-16 length 8192. Integer syntax: optional + or - and 1-128 decimal digits; leading zeros accepted. Apply the sign restriction above. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| majorDecimal | Major Decimal | Required. Text; maximum UTF-16 length 8192. |
| middleDecimal | Middle Decimal | Required. Text; maximum UTF-16 length 8192. |
| remainderDecimal | Remainder Decimal | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"smallestUnits": "253",
"unitsPerMajor": "240",
"unitsPerMiddle": "12"
},
"output": {
"majorDecimal": "1",
"middleDecimal": "1",
"remainderDecimal": "1"
}
}Limitations and assumptions
- Bases mean smallest units per major and per middle unit. No built-in historical system, exchange value or denomination authenticity is supplied.
- 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
Verify the relevant time, jurisdiction and denomination system from the source records. Use separate evidence for valuation, exchange and coin authenticity.
References
Similar or alternative tools
- Historical Coin Fraction Remainder
Return total smallest units and integer quotient/remainder by divisor.
- Historic Jurisdiction Interval Gap Tool
Compare supplied public jurisdiction endpoints on one coordinate axis; no boundary history is inferred.