vim, 38 bytes

Result

WA

Code [DL]

:%s//\=sqrt(("0b".submatch(0))*8+1)
ZZ

Disassembly

:%s//\=sqrt(("0b".submatch(0))*8+1)<NL>ZZ

stdin

01001110
01011011
00011100
10101101
10001000
00100101
01110110
10101011
11100010
10111110
00001111
10100010
11101001
10000110
11110110
11000101
00001010
01100111
00000001
00111010
10000100
01001110
01001110
01000010
00100100
00110111
00110101
00011101
01101001
11111001
11100111
00010101
10001101
00000110
11010010
00000011
11010001
11001001
01001100
00101101
00010010
01100000
11111101
10011001
01011010
11011111
01110101
01010110
00000000
01111000

stdout

01001110
01011011
00011100
10101101
10001000
00100101
01110110
10101011
11100010
10111110
00001111
10100010
11101001
10000110
11110110
11000101
00001010
01100111
00000001
00111010
10000100
01001110
01001110
01000010
00100100
00110111
00110101
00011101
01101001
11111001
11100111
00010101
10001101
00000110
11010010
00000011
11010001
11001001
01001100
00101101
00010010
01100000
11111101
10011001
01011010
11011111
01110101
01010110
00000000
01111000

stderr

strace