Where does $2^4 + 2^2 + 2^0=1 + 2*(2*(1+2*2))$ come from?

Question

Where does the following equation come from? I am trying to understand it.

$2^4 + 2^2 + 2^0=1 + 2*(2*(1+2*2))$

Or the "extended" version

$2^4 + 2^2 + 2^0=1 + 2 * (0 + 2 * (1 + 2 * (0 + 2)))$

but of course zero can be omitted.

@edit

I have second questio, how can I write any number using this method?

I mean for example 10 or 6

Answer 1

$$2^4 + 2^2 + 2^0 =\\ 2\cdot2\cdot2\cdot2 + 2\cdot2 + 1 =\\ 2 (2\cdot2\cdot2 + 2) + 1 =\\ 2 (2 (2\cdot2 + 1)) + 1$$

Answer 2

$1+2*(2*(1+2*2))=1+2^2(1+2^2)=1+2^2+2^2*2^2=2^0+2^2+2^4$