Method
How to convert base 16 to base 2
Each hexadecimal digit is evaluated by its power of 16. The exact value is then repeatedly divided by 2 to produce the destination digits.
value10 = sum(digit x 16position)
For fractional digits, the converter keeps an exact rational numerator and denominator, then generates up to 32 destination digits. An ellipsis marks a repeating or longer expansion.