vim, 40 bytes

Result

WA

Code [DL]

:%s/.*/\=sqrt("0b".submatch(0)."001")
ZZ

Disassembly

:%s/.*/\=sqrt("0b".submatch(0)."001")<NL>ZZ

stdin

11011000
01010101
00000110
00011100
01001010
01101001
10101111
10110011
00000011
10011001
00010101
01000000
01111000
00000001
01000010
00011100
01010100
00001100
11001100
00110111
10100111
00101101
11100111
01011011
00010010
11011110
11111101
00000100
01001101
00001010
00100001
00100100
11111101
10001000
11010110
11010010
01001110
11100000
00000000
10100000
10101011
00001111
01100110
00011110
10111110
10101100
00111101
01011010
01101011
10011110

stdout

11011000
01010101
00000110
00011100
01001010
01101001
10101111
10110011
00000011
10011001
00010101
01000000
01111000
00000001
01000010
00011100
01010100
00001100
11001100
00110111
10100111
00101101
11100111
01011011
00010010
11011110
11111101
00000100
01001101
00001010
00100001
00100100
11111101
10001000
11010110
11010010
01001110
11100000
00000000
10100000
10101011
00001111
01100110
00011110
10111110
10101100
00111101
01011010
01101011
10011110

stderr

strace