Questions related with (base 2) representation of numbers and their unique properties arising out of number representation.

Binary (base $2$) represents numbers using only the digits $0$ and $1$.

We write:

$$n=\sum\limits_{k=n}^0 a_k2^k$$

to represent a nonnegative integer, so for example $27_{10}=16+8+2+1=11011_2$

To represent nonnegative real numbers, we use:

$$n=\sum\limits_{k=n}^{-m} a_k2^k$$

where $m$ can be $\infty$. So, for example $11.001_2=3.125_{10}$.