Converting from decimal to binary

There's a simple rule that allows us to convert a number from the binary system to the decimal. For example, $42 = 101010_2$. To get $42$ out of $101010_2$, we need to follow simple steps. Firstly, number the digits of $101010_2$ from right to left, starting with zero. Secondly, multiply each digit by two raised to the power accordingly. Here's how it looks:

$42 = 1 \cdot 2^5 + 0 \cdot 2^4 + 1 \cdot 2^3 + 0 \cdot 2^2 + 1 \cdot 2^1 + 0 \cdot 2^0 = 32 + 0 + 8 + 0 + 2 + 0$

As we see, only $2^1, 2^3, 2^5$ actually have importance in this expansion in powers.

In this task, you need to choose only powers of two that are used in the expansion in powers of each number.