# [Japt], 9 bytes

    ÆMgX ¤Ã¬Í

[Run it](https://ethproductions.github.io/japt/?v=1.4.5&code=xk1nWCCkw6zN&input=NA==)

##Explanation:
    ÆMgX ¤Ã¬Í
    Æ     Ã     | Iterate X through the range [0...Input]
     MgX        |   Xth Fibonacci number
         ¤      |   Binary
           ¬    | Join into a string
            Í   | Convert into a base-2 number

[Japt]: https://github.com/ETHproductions/japt
[TIO-jfe6s445]: https://tio.run/##y0osKPn//3Cbb3qEwqElh5sPrckz@v/fBAA "Japt – Try It Online"