crystal, 62 bytes

Result

WA

Code [DL]

while a=gets()
b=a.to_i 2
i=0
while b>0 b-=i+=1
p b==0 ?1:0end

stdin

00001100
10111101
00001111
00010101
10100011
10110001
10001100
00010100
01011011
11111101
11111001
10000100
11100101
01101001
01000101
00110011
00010010
10000111
00111001
01000010
11001111
00011100
11010001
10010010
11000001
11101010
11101000
11100000
00110111
00100100
00000110
01111000
00110001
11010010
00001010
00000000
11111101
10010000
00001010
01001110
00000011
00101101
10011001
10111100
11100111
10001000
00000001
10101011
10111110
00100011

stdout

Syntax error in /volume/CODE:4: unexpected token: b

while b>0 b-=i+=1
          ^

stderr

strace