u/lollersauce914 has a great response, but I’ll just provide some color commentary
Hex = 6 and decimal = 10, hence hexadecimal = a counting system based on 16s.
Now, separate the idea of “a number” from the symbol we use to write the number.
Whether you call it 3 vs III, or Three, or Tres, or Drei, or glurbby, the idea of “3” things never changes, but we can use different symbols and words to name it.
The problem with eleven is our symbol, 11, is actually two symbols in a row. What if you only have one space to write eleven? Well, you couldn’t do it. That’s kind of our computer problem, we want to write eleven all the time, but we only have one space for it. So computer programs took the symbol for the letter A and just said, “Ok, but when we use ‘A’ as a number, it stands for “11””. So now we can write eleven in a single space, a. similar 12 is b, 13 is c.
Here is where it gets a bit weird though, if F is 16, how do we write 17?
How do we do it normally? You put the ones spot back to ‘1’ and start counting again with a ‘1’ in the tens spot. (note that hexadecimal doesn’t use the symbol “0”)
so it goes A=10, B=11…E = 15, F = 16, **11 = 17, 12 = 18, 13= 19…. 1A = 26, 1B = 27, 1C = 28… 32 = 20, 33 = 21.**
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