vim, 86 bytes

Result

WA

Code [DL]

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

Disassembly

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

stdin

00100110
00011100
00001100
01110010
01010111
00000011
10000010
00101101
00110111
01111000
11111101
00000001
00100100
01101110
00011100
10101011
01000010
01111111
01000101
11010010
10100001
01010000
00010101
01001111
11010000
00100101
00101101
00011101
01011011
10001000
10111110
10001011
00001111
00001010
11101101
01001110
10010001
11011001
00000000
10011001
00001101
11100111
01001000
00100001
11100110
00000110
11011010
11100011
01000001
01101001

stdout

0010011

00011100
00001100
01110010
01010111
00000011
10000010
00101101
00110111
01111000
11111101
00000001
00100100
01101110
00011100
10101011
01000010
01111111
01000101
11010010
10100001
01010000
00010101
01001111
11010000
00100101
00101101
00011101
01011011
10001000
10111110
10001011
00001111
00001010
11101101
01001110
10010001
11011001
00000000
10011001
00001101
11100111
01001000
00100001
11100110
00000110
11011010
11100011
01000001
01101001

stderr

strace