I was about to explain that the reduce operator wouldn't help because we 
don't have a power operator when I thought to check ... and we do!

So, great idea! And now we can forget recursive! 

<$vars myhex="FFFF">
<$vars 
myfilter="[[16]power<index>]=[<currentTiddler>search-replace:g[A],[10]search-replace:g[B],[11]search-replace:g[C],[12]search-replace:g[D],[13]search-replace:g[E],[14]search-replace:g[F],[15]]+[product[]add<accumulator>]"
 
>
<$list filter="[<myhex>split[]reverse[]reduce<myfilter>]" />
</$vars>
</$vars>


On Friday, December 4, 2020 at 3:53:06 PM UTC-8 TW Tones wrote:

> Mark et all,
>
> I think the new reduce operator may simplify this with each byte being 
> converted at a time, making use of the accumulator and index.
>
> Regards
> 'Tones
>
> On Thursday, 3 December 2020 at 17:46:07 UTC+11 TW Tones wrote:
>
>> Mark,
>>
>> I have followed your code through, More testing but it seems to all make 
>> sense to me now, It would be great if we could turn such code into a 
>> hierarchy chart that also recognised the list re-iterations. The 
>> information is all there so automation would be possible. In this case I 
>> can use the decimals in the range operator to satisfy the OT.
>>
>> Thank you
>>
>> Regards
>> Tones
>>
>> On Thursday, 3 December 2020 at 17:05:17 UTC+11 TW Tones wrote:
>>
>>> Testing,
>>>
>>> Nice work, It takes a bit to follow the code, but I am sure I will learn 
>>> something, thanks so much.
>>>
>>> You may see it in a Unicode database soon.
>>>
>>> Tones
>>>
>>>
>>> On Thursday, 3 December 2020 at 16:53:47 UTC+11 Mark S. wrote:
>>>
>>>> Here's a recursive version that that can be any length of hex. Lightly 
>>>> tested. Hopefully it's working OK.
>>>>
>>>> \define hex2dec2(byte,mult:1)
>>>> <$vars 
>>>> myfilter="[search-replace:g[A],[10]search-replace:g[B],[11]search-replace:g[C],[12]search-replace:g[D],[13]search-replace:g[E],[14]search-replace:g[F],[15]]">
>>>> <$list filter="
>>>> [<__byte__>subfilter<myfilter>] 
>>>> =[<__mult__>]
>>>> +[product[]]
>>>> "/>
>>>> </$vars>
>>>> \end
>>>> \define hex2dec-r(hex,mult)
>>>> <$list filter="[<__mult__>] =16 +[product[]]" variable="mult">
>>>> <$list filter="[<__hex__>split[]nth[1]]" variable="byte">
>>>> <$list filter="[<__hex__>split[]rest[]join[]]" variable="hex"
>>>> emptyMessage="<$macrocall $name=hex2dec2 byte=<<__hex__>> 
>>>> mult=<<__mult__>> />"
>>>> >
>>>> <$macrocall $name=hex2dec2 byte=<<byte>> mult=<<__mult__>> />
>>>> <$macrocall $name="hex2dec-r" hex=<<hex>> mult=<<mult>> />
>>>> </$list></$list></$list>
>>>> \end
>>>> \define hex2dec-setup(hex)
>>>> <$list filter="[<__hex__>split[]reverse[]join[]]" variable=rhex>
>>>> <$macrocall $name=hex2dec-r hex=<<rhex>> mult=1 />
>>>> </$list>
>>>> \end
>>>> \define hex2dec(hex)
>>>> <$wikify text="<<hex2dec-setup $hex$>>" name=dec>
>>>> <$list filter="[enlist<dec>sum[]]"/>
>>>> </$wikify>
>>>> \end
>>>>
>>>> <<hex2dec F111>>
>>>>
>>>>
>>>>
>>>> On Wednesday, December 2, 2020 at 5:42:55 PM UTC-8 TW Tones wrote:
>>>>
>>>>> Mark,
>>>>>
>>>>> Good start. I was thinking how to get 16^0 16^1 16^2 and 16^3 and you 
>>>>> have hard coded it. If moving to a recursive process we may be able to 
>>>>> handle variable length hex.
>>>>>
>>>>>>
>>>>>>>>>

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