Description
minorTotal = (major*middlePerMajor+middle)*minorPerMiddle+minor; majorEquivalent sums the corresponding fractional major units.
Historical monetary and physical units can have local or period-specific conversion bases. Exact subunit arithmetic and supplied mass factors preserve a declared interpretation but do not select the correct historical system automatically.
minorTotal = (major*middlePerMajor+middle)*minorPerMiddle+minor; majorEquivalent sums the corresponding fractional major units.
When to use this tool
Use Predecimal Coin Account Value Token when applying an explicit historical unit or subunit convention.
How to use the tool and how it works
- Enter major, middle, minor, middlePerMajor, minorPerMiddle. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read minorTotal, majorEquivalent. Use the output convention below.
Require nonnegative whole major, middle and minor amounts and positive whole middlePerMajor and minorPerMiddle. minorTotal = (major*middlePerMajor+middle)*minorPerMiddle+minor; majorEquivalent sums the corresponding fractional major units.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| major | Major | Required. Safe integer; minimum 0. |
| middle | Middle | Required. Safe integer; minimum 0. |
| minor | Minor | Required. Safe integer; minimum 0. |
| middlePerMajor | Middle Per Major | Required. Safe integer; minimum 1. |
| minorPerMiddle | Minor Per Middle | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| minorTotal | Minor Total | Required. Safe integer. |
| majorEquivalent | Major Equivalent | Required. Finite number. |
{
"input": {
"major": 2,
"middle": 3,
"minor": 6,
"middlePerMajor": 20,
"minorPerMiddle": 12
},
"output": {
"minorTotal": 522,
"majorEquivalent": 2.175
}
}Limitations and assumptions
- Noncanonical subunit amounts are accepted rather than rejected or separately normalized. Conversion bases are supplied, not a historical currency lookup; safe numeric output bounds still apply.
- 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.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Consult the source’s place, date and commodity or currency context before choosing conversion factors.
References
Similar or alternative tools
- Old Currency Subunit Remainder
Parse exact decimal subunits and perMajor with subunits >= 0 and perMajor > 0.
- Historical Price Unit Factor Tool
Convert one verified same-commodity quantity-unit price with explicit source/date provenance; no currency or basket conversion.