Originally Posted by
brewbuck
It's not some special property of hex. It boils down to the compatibility between binary and hex -- the logarithm of 16 is divisible by the logarithm of 2. In other words, a whole number of hex digits can be represented by a whole number of binary digits.
Octal is the same way, with each digit of octal being equivalent to 3 binary digits.
There is nothing special about any numbering system, whether it is decimal, octal, hex, binary...
The idea of "hexadecimal math" makes about as much sense as "Australian math."