Number to Binary

Some time ago I shared a great function on another forum.

With this function - fnNumberBaseConversion - you can convert numbers to (almost) any base and vice versa.

Disclaimer: as far as I know, the function works fine, but I can't give any guarantees.

Screen shot with the parameters to get 00110100 from 52:

Result:

And the code, with complete documentation:

let 
    Documentation =
    [Documentation.Category =    "Custom Function",
     Documentation.Description = "Function created by Bemint to convert numbers from or to a specific base",
     Documentation.Examples =    { [Description = "Convert 10 to binary",
                                   Code = "fnNumberBaseConversion(10, 2)",
                                   Result = "10100"],
                                   [Description = "Convert 123456 to hexadecimal with a result length of minimal 8",
                                   Code = "fnNumberBaseConversion(123456, 16, 8)",
                                   Result = "0001E240"]},
     Documentation.LongDescription =
                "fnNumberBaseConversion converts a number to a base string or vice versa.
                 Supported bases are 2 thru 16, 32 and 64.
                 Input is either an integer > 0 that will be converted to a base string or a base string that will be converted to a number.
                 Optionally, outputlength can be supplied to have resulting base strings padded to the desired length"],

    fnNBC = (input as anynonnull, base as number, optional outputlength as number) as any =>
    let
        //    input = 10,
        //    base = 2,
        //    outputlength = null,
        Base16 = "0123456789ABCDEF",
        Base32 = "ABCDEFGHIJKLMNOPQRSTUVWXYZ234567",
        Base64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",
        Lookups = List.Zip({{16,32,64},{Base16,Base32,Base64}}),
        Lookup = Text.ToList(List.Last(List.Select(Lookups,each _{0} <= List.Max({16, base}))){1}),
        InputToList = Text.ToList(input),
        Result = if input is text
        then
        let
            Reversed = List.Reverse(InputToList),
            BaseValues = List.Transform(Reversed, each List.PositionOf(Lookup,_)),
            Indexed = List.Zip({BaseValues, {0..Text.Length(input)-1}}),
            Powered = List.Transform(Indexed, each _{0}*Number.Power(base,_{1})),
            Decimal = List.Sum(Powered)
        in
            Decimal
        else
        let
            Elements = 1+Number.RoundDown(Number.Log(input,base),0),
            Powers = List.Transform(List.Reverse({0..Elements - 1}), each Number.Power(base,_)),
            ResultString = List.Accumulate(Powers,
                                          [Remainder = input,String = ""], 
                                          (c,p) => [Remainder = c[Remainder] - p * Number.RoundDown(c[Remainder] / p,0),
                                                    String = c[String] & Lookup{Number.RoundDown(c[Remainder]/p,0)}])[String],    
            PaddedResultString = if outputlength = null then ResultString else Text.PadStart(ResultString,outputlength,Lookup{0})
        in
            PaddedResultString
    in
        Result,
    // Create FunctionType with metadata at function type level:
    FunctionType = Type.ForFunction([ReturnType = type any, Parameters = [input = type anynonnull, base = type number, outputlength = type number]], 2) meta Documentation,
    fnNumberBaseConversion = Value.ReplaceType(fnNBC,FunctionType)
in
    fnNumberBaseConversion