Out Of Balance Difference Transposition Halver Trick Tool
Screen an exact signed minor-unit imbalance for arithmetic nine-divisibility/transposition and halving candidates; these are search clues only, not proof of a digit transposition, duplicated entry or correct account.
Description
An imbalance divisible by nine can suggest digit transposition; a nonzero even imbalance suggests a halving search.
An imbalance divisible by nine can suggest digit transposition; a nonzero even imbalance suggests a halving search. These are arithmetic clues rather than diagnoses.1
The returned values include Divisible by nine transposition candidate, Even difference double posting candidate, Absolute half difference minor. The How section below explains the calculation, input rules and interpretation.
When to use Out Of Balance Difference Transposition Halver Trick Tool
Use Out Of Balance Difference Transposition Halver Trick Tool when you need to evaluate the supplied records under the calculation and evidence rules below. No proof of transposition, duplicated entry or correct account is supplied.
Gather the source balances and explicit accounting policy. Monetary inputs use integer minor units in one currency; for a currency with 100 minor units per major unit, 12345 represents 123.45. One basis point is 0.01 percentage points; 10000 basis points is 100%. Dates and posting signs follow the individual rules below.
How to use Out Of Balance Difference Transposition Halver Trick Tool and understand its results
- Gather the source balances and explicit accounting policy. Monetary inputs use integer minor units in one currency; for a currency with 100 minor units per major unit, 12345 represents 123.45. One basis point is 0.01 percentage points; 10000 basis points is 100%. Dates and posting signs follow the individual rules below.
- Enter signedOutOfBalanceMinor using the field table and calculation rules, then run the tool.
- Read divisibleByNineTranspositionCandidate, evenDifferenceDoublePostingCandidate, absoluteHalfDifferenceMinor. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| signedOutOfBalanceMinor | Signed out of balance minor | number | Required |
Enter a signed safe-integer minor-unit gap. Return both candidate flags and absolute half difference when the even flag is true; otherwise return −1. A zero gap returns both flags false and −1.
transpositionCandidate=abs(gap)>0 and abs(gap) mod9=0; halfCandidate=abs(gap)>0 and abs(gap) mod2=0 Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| divisibleByNineTranspositionCandidate | Divisible by nine transposition candidate | boolean |
| evenDifferenceDoublePostingCandidate | Even difference double posting candidate | boolean |
| absoluteHalfDifferenceMinor | Absolute half difference minor | number |
{
"input": {
"signedOutOfBalanceMinor": 54
},
"output": {
"divisibleByNineTranspositionCandidate": true,
"evenDifferenceDoublePostingCandidate": true,
"absoluteHalfDifferenceMinor": 27
}
}Limitations and assumptions
No proof of transposition, duplicated entry or correct account is supplied.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing fields without a declared default, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Trial Balance Debits Credits Checker: A trial balance groups debit-positive signed account balances into debit and credit totals. Matching totals does not establish ledger completeness. For a complementary task, use Compound Journal Entry Debits Credits Validator: A compound journal must both balance in aggregate and avoid positive debit and credit on the same line. Zero informational lines remain allowed.
References
Similar or alternative tools
- Trial Balance Debits Credits Checker
A trial balance groups debit-positive signed account balances into debit and credit totals. Matching totals does not establish ledger completeness.
- Compound Journal Entry Debits Credits Validator
A compound journal must both balance in aggregate and avoid positive debit and credit on the same line. Zero informational lines remain allowed.