reconversionErrors.htmlTEXTMSIEָ~ Reconversion Errors
Reconversion Errors

If you calculate a conversion from a currency with a rounding amount of low intrinsic value to a currency with a rounding amount of high intrinsic value and then convert the result back to the original currency, a reconversion error may occur, that is the final result may slightly differ from the original input value.

Let's for instance consider a conversion from ITL to EUR, with ITL rounded to 1 ITL and EUR rounded to 0.01 EUR.

The ITL rounding amount has a lower intrinsic value than the EUR rounding amount (1 ITL = 0.0005 EUR < 0.01 EUR). Therefore if you convert an ITL amount to EUR and then back to ITL, the final amount may differ from the initial amount.

325,000 ITL = 325,000 / 1,936.27 EUR =
167.8484922... EUR = 167.85 EUR
167.85 EUR = 167.85 * 1.936.27 ITL =
325,002.9195 ITL = 325,003 ITL

Conversely, if you calculate a conversion from a currency with an high intrinsic value rounding amount to a currency with a low intrinsic value rounding amount and then convert the result back to the original currency, no reconversion error occurs.

Considering this time the EUR to ITL conversion, we have for instance:

250.00 EUR = 250.00 * 1,936.27 ITL = 484,067.5 ITL = 484,068 ITL
484,068 ITL = 484,068 / 1,936.27 EUR = 250.0002582... EUR = 250.00 EUR


Reconversion errors may occur when you calculate a conversion and then switch to a different display: Euro Assistant Pro in fact always considers the active display as input display and automatically calculates a new conversion when you activate a new display.

If you for instance convert 30,000 ITL to ATS, DEM and EUR and then activate the DEM display, Euro Assistant Pro automatically calculates a second conversion with 30.30 DEM as input amount.

A reconversion error occurs (29,997 ITL is not equal to 30,000 ITL) and the ATS amount slightly changes because now it is the result of the conversion of 30.30 DEM. The EUR amount is unaffected, because the EUR rounding amount (0.01 EUR) is the one with the highest intrinsic value.


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