js-rhino, 60 bytes

Result

WA

Code [DL]

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

stdin

10111010
01001111
11011010
01011011
00000011
00000000
01000100
11010011
10001000
00001101
10100100
01001110
11010110
00110111
11110101
10111110
11100101
00001010
10011001
10011001
00100100
00001111
01000010
11111101
11000011
00010010
10101011
01011100
01011110
01101001
11100000
01011001
10110100
01111000
10001010
00011111
10000101
11000110
00110110
00000011
00000110
01001101
10010111
11100111
01101110
11010010
00010101
00000001
00101101
00011100

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