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DecToAnyBase ( decimal ; base )

Returns the representation of a decimal (base-10) number in the alphabet of the specified base.

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Michael Horak - Show more from this author *COMMENT Visual Realisation

  Function definition: (Copy & paste into FileMaker's Edit Custom Function window)

/* DecToAnyBase function Author *COMMENT Visual Realisation Format DecToAnyBase ( decimal ; base ) Parameters decimal - any numeric expression or field containing a non-negative numeric expression. NOTE: Only the integer part of decimal will be considered. base - any numeric expression or field containing a non-negative numeric expression. Data type returned text Description Returns the representation of a decimal (base-10) number in the alphabet of the specified base. April 20, 2005 */ Let ( [ // MODIFY THIS IF YOU WANT TO EXPAND THE FUNCTION TO USE OTHER SYMBOLS // (IF YOUR ALPHABET USES MORE THAN ONE CHARACTER PER SYMBOL, ADJUST SYMBOL SIZE TO FIT) alpha = "0123456789ABCDEF" ; symbolSize = 1 ; // DO NOT MODIFY FROM THIS POINT ON error = 2 > base or base > Length ( alpha ) / symbolSize ; bit = Mod ( decimal ; base ) ; pos = bit * symbolSize + 1 ; char = Middle ( alpha ; pos ; symbolSize ) ; next = Div ( decimal ; base ) ] ; Choose ( error ; Case ( next ; DecToAnyBase ( next ; base ) ) & char ; "Base must be between 2 and " & Length ( alpha ) / symbolSize ) // end Choose ) // end Let Click to copy

DecToAnyBase function

Author
*COMMENT Visual Realisation

Format
DecToAnyBase ( decimal ; base )

Parameters
decimal - any numeric expression or field containing a non-negative numeric expression. Only the integer part of decimal will be considered.

base - any numeric expression or field containing a non-negative numeric expression.

Data type returned
text

Description
Returns the representation of a decimal (base-10) number in the alphabet of the specified base.

Note:
As provided, DecToAnyBase() will convert a decimal number to any base between 2 and 16, using standard symbols.

The function can be easily modified to accomodate bases greater than 16 and/or other symbols, incl. compound (more than one character per symbol) symbols.

 

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