I won't use your nerd mode tage because they would be redundant. I'm always in nerd mode.
4<sub>2</sub> does not really make sense. Something like 101<sub>2</sub> would work. The subscript 2 is used to indicate that a number is already in base 2. It's not an operator that acts on a base 10 number.
Still in nerd mode and proud of it.