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Description

The numeric system we humans use has a base count of zero to nine, this is because we have ten fingers. Ponies have four hooves, so logically their numeric system would have a base of four. But I have made this variation after a few conversations and so this numeric system has a base of sixteen (0 - 15).
 
Now with transparent background for easy copy/paste.

Comments

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Detailed syntax guide

Liggliluff
Best Artist - Providing quality, Derpibooru-exclusive artwork
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Cool Crow - "Caw!" An awesome tagger
Not a Llama - Happy April Fools Day!
Magnificent Metadata Maniac - #1 Assistant
An Artist Who Rocks - 100+ images under their artist tag
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@Prometheus labs CEO  
No you don’t. In a positional base system we use, we need it. Where 10 is larger than 1, which the 0 denotes.
 
But there are other number system, like bijective. In bijective base 9, you have the 9 digits from 1 to 9 (values 1 to 9). After 9 comes 11 (value 10), 12 (value 11), to 19 (value 18), then 21 (value 19), up to 99 (value 90), then 111 (value 91). A 0 is never used.
 
You also got the Roman system: I, II, III, IV, V, VI … IX X XI (9, 10, 11) … CMXCIX, M, MI (999, 1000, 1001). A 0 is never used here either.
 
To express zero of something, you can say that there’s none of it, or there’s nothing.
Background Pony #3796
You could probably argue that Pegasi generally have five primary feathers on each wing, and they’re responsible for base 10 numbering.
 
I might be pulling stuff right out of my ass but who cares.
LordDusk2014
Wallet After Summer Sale -
Birthday Cake - Celebrated MLP's 7th birthday
Artist -

Commentator
Base-16, or hexadecimal doesn’t go to 0-15. I have an example of what a base-16 may look like.  
full
 
(Instead of the inverted 2-7, you can also use A-F.)
Liggliluff
Best Artist - Providing quality, Derpibooru-exclusive artwork
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Cool Crow - "Caw!" An awesome tagger
Not a Llama - Happy April Fools Day!
Magnificent Metadata Maniac - #1 Assistant
An Artist Who Rocks - 100+ images under their artist tag
Artist -

The pony language in the show has more than only horseshoes… such as wings, heads and more.
 
However… simply replacing an English letter into each symbol doesn’t make it a unique language.
 
Having unique letters and a unique language such as the Klingon language would be more interesting.
Background Pony #2B31
While the idea of it being based on fours has some sense, at the same time I’m not sure if they would actually do that - basing things on tens seems a lot more convenient. And the sixteen things is like completely out of nowhere. Besides, don’t they already use normal numbers in the show?
 
Anyway, I think it’s best to just do it normally and stick to 0-9.