Decode it - exciting game

The Easy and fun game. Upgrade your brain and reach new heights. Decode binary code as many as you can. Prove that you are the best!
How to play?
Just make of 1 and 0 binary number corresponding to a given number.
The last 1 is equal to 1, the penultimate 1 is  equal 2, and each next 1 is equal to the square previous ... 0 equal 0.
00000000 equal 0
00000001 equal 1
00000010 equal 2
00000011 equal 3 (2 + 1)
00000100 equal 4
00000101 equal 5 (4 + 1)
00000110 equal 6 (4 + 2)
00000111 equal 7 (4 + 2 + 1)
00001000 equal 8
and so on....