vim, 93 bytes

Result

WA

Code [DL]

:for i in range(51)
call setline(i,!(float2nr(sqrt(+"0b".getline(i)."001")*99)%99))
endfor
ZZ

Disassembly

:for i in range(51)<NL>call setline(i,!(float2nr(sqrt(+"0b".getline(i)."001")*99)%99))<NL>endfor<NL>ZZ

stdin

11010010
11000011
01111010
00100010
10101011
00001010
10011001
11111101
00000110
11011110
00000001
01000010
00010101
00110111
11100111
10101111
00011100
00001000
00010100
10101110
11111110
01101001
00000000
11101001
10101011
00001101
00001111
10100111
01010111
01111000
10101011
01101000
00101101
11101000
11101011
00100100
00000011
11110111
10101010
10001000
10111110
11101100
00110001
11010110
01001110
11011011
11100000
10000001
00001011
01011011

stdout

1101001

11000011
01111010
00100010
10101011
00001010
10011001
11111101
00000110
11011110
00000001
01000010
00010101
00110111
11100111
10101111
00011100
00001000
00010100
10101110
11111110
01101001
00000000
11101001
10101011
00001101
00001111
10100111
01010111
01111000
10101011
01101000
00101101
11101000
11101011
00100100
00000011
11110111
10101010
10001000
10111110
11101100
00110001
11010110
01001110
11011011
11100000
10000001
00001011
01011011

stderr

strace