Below is a list of number sequences which follow a specific rule from one to the next. The first seven sequences are written out already. Can you deduce the next one?


    1011111110111111011000
    001111110011111001000
    00111110001111000000
    0111111001111100000
    011111000111100000
    01111000011100000
    0111000001100000
    ???????????????

To assist in the solving process, I have made another sequence with a different beginning number.

    1010010111101001001001  
    111011111111101101101  
    11001111111100100100  
    1000111111100000000  
    100111111110000000  
    10111111111000000  
    1111111111100000  
    ???????????????