vim, 88 bytes

Result

WA

Code [DL]

:for i in range(51)
call setline(i,!(float2nr(sqrt(0+"0b".getline(i)."001"))))
endfor
ZZ

Disassembly

:for i in range(51)<NL>call setline(i,!(float2nr(sqrt(0+"0b".getline(i)."001"))))<NL>endfor<NL>ZZ

stdin

00000000
01000010
00000110
11110100
00100110
11110110
00001010
11110101
11111100
11010101
01000110
11111101
01011011
10111110
01001110
00001111
10011011
10011001
11110001
01101110
00010101
11101101
11010011
00000001
00011100
01110011
01111111
00101101
10100110
00100011
11010010
00110111
10001000
10101011
00001011
10010110
01000111
01111000
00000011
00010011
01110111
11010100
01101001
10100000
00100100
01011010
01000010
11100111
11100100
00001010

stdout

0000000

01000010
00000110
11110100
00100110
11110110
00001010
11110101
11111100
11010101
01000110
11111101
01011011
10111110
01001110
00001111
10011011
10011001
11110001
01101110
00010101
11101101
11010011
00000001
00011100
01110011
01111111
00101101
10100110
00100011
11010010
00110111
10001000
10101011
00001011
10010110
01000111
01111000
00000011
00010011
01110111
11010100
01101001
10100000
00100100
01011010
01000010
11100111
11100100
00001010

stderr

strace