fish, 109 bytes

Result

AC

Code [DL]

a5*>80>2*i68*-+$1-:?v~iv
;
>  ^  ^            $<
?vv?:v?=,2*+1:@:{:}<:~ <
:0>1-              ^
-v  1<
^>n~~1

stdin

00011100
01000011
01101001
11010100
00000011
01000010
00110111
00001010
00001111
01011011
01000111
00101000
10101011
11101110
00011100
00101101
00100100
00010101
01001100
11001100
01010000
10111000
00100001
10010111
00101101
10011101
00011000
00001001
10111111
10000100
10111110
00000001
11000100
01111000
10001000
11010010
11111101
01001011
10001001
10110000
11100111
00000000
11011111
10011001
01110100
00000110
00101011
10111001
01001110
11001010

stdout

10101111110010111100000010000011011110001101010010

stderr

strace