js-rhino, 68 bytes

Result

WA

Code [DL]

for(;c=readline();)print(+!(Math.sqrt(8*parseInt(String(c),2)+1)%1))

stdin

01011111
01111000
11101000
10101011
01001011
10110010
00000000
00000110
10111110
00001111
01101001
11010010
10000111
00111001
00000011
00101000
11101101
00110111
01111111
00110000
01000010
10110110
10011001
00000110
01111100
01011011
10001111
00101001
10111000
11100111
01011001
10001000
11000111
00011100
00001010
10111001
10011010
01001110
00000011
01111001
00010110
00100110
00000001
00100100
11111101
11101001
11101011
11010101
00101101
00010101

stdout

stderr

org.mozilla.javascript.WrappedException: Wrapped java.lang.NullPointerException
	at org.mozilla.javascript.Context.throwAsScriptRuntimeEx(Context.java:1893)
	at org.mozilla.javascript.MemberBox.invoke(MemberBox.java:148)
	at org.mozilla.javascript.FunctionObject.call(FunctionObject.java:387)
	at org.mozilla.javascript.optimizer.OptRuntime.callName0(OptRuntime.java:74)
	at org.mozilla.javascript.gen._volume_CODE_1._c_script_0(Unknown Source)
	at org.mozilla.javascript.gen._volume_CODE_1.call(Unknown Source)
	at org.mozilla.javascript.ContextFactory.doTopCall(ContextFactory.java:393)
	at org.mozilla.javascript.ScriptRuntime.doTopCall(ScriptRuntime.java:3282)
	at org.mozilla.javascript.gen._volume_CODE_1.call(Unknown Source)
	at org.mozilla.javascript.gen._volume_CODE_1.exec(Unknown Source)
	at org.mozilla.javascript.tools.shell.Main.processFileSecure(Main.java:601)
	at org.mozilla.javascript.tools.shell.Main.processFile(Main.java:560)
	at org.mozilla.javascript.tools.shell.Main.processSource(Main.java:531)
	at org.mozilla.javascript.tools.shell.Main.processFiles(Main.java:179)
	at org.mozilla.javascript.tools.shell.Main$IProxy.run(Main.java:100)
	at org.mozilla.javascript.Context.call(Context.java:501)
	at org.mozilla.javascript.ContextFactory.call(ContextFactory.java:503)
	at org.mozilla.javascript.tools.shell.Main.exec(Main.java:161)
	at org.mozilla.javascript.tools.shell.Main.main(Main.java:136)
Caused by: java.lang.NullPointerException
	at org.mozilla.javascript.tools.shell.Global.readline(Global.java:1149)
	at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
	at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
	at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
	at java.lang.reflect.Method.invoke(Method.java:498)
	at org.mozilla.javascript.MemberBox.invoke(MemberBox.java:126)
	... 17 more

strace