python3, 45 bytes

Result

WA

Code [DL]

while 1:print((int(input(),2)*8+1)**.5%1>0^1)

stdin

10111110
00010101
00001111
11010010
10011011
11100111
00000000
11000100
01001111
00000001
10100011
10111101
00110111
01100110
01101001
11111101
00110001
00110100
00100100
00000110
01001110
01011011
01111100
00100110
01000010
00000011
01110110
00100101
00001010
00010110
01111011
01111111
11100010
00110111
00011100
11011101
00101101
10101011
01111000
11111101
11010110
00110011
10010110
10011001
00100000
10110011
10000011
00011011
00111010
10001000

stdout

False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False
False

stderr

Traceback (most recent call last):
  File "/volume/CODE", line 1, in <module>
    while 1:print((int(input(),2)*8+1)**.5%1>0^1)
EOFError: EOF when reading a line

strace