c-gcc, 80 bytes

Result

WA

Code [DL]

main(j,s,a){for(;s=strtol(gets(&s),0,2);puts(&a))for(j=a=48;--j;)a+=j*j-j==s*2;}

stdin

00010101
10011001
00101101
00111111
00111100
01111000
11001110
01111101
01001110
00010100
10000111
00110101
00000001
00001111
00010110
00011111
11101101
01001111
10001000
00100100
10111110
10101011
10110101
01101001
10100110
01011011
00001010
00011101
01110000
00011100
11001011
10000101
01000010
11010010
11100111
00110111
00010010
01001100
01101001
01101111
00000000
00000110
00100100
01111001
11111101
11111110
11001000
00000011
01000011
11100101

stdout

stderr

/tmp/code.c:1:1: warning: return type defaults to ‘int’ [-Wimplicit-int]
 main(j,s,a){for(;s=strtol(gets(&s),0,2);puts(&a))for(j=a=48;--j;)a+=j*j-j==s*2;}
 ^
/tmp/code.c: In function ‘main’:
/tmp/code.c:1:1: warning: type of ‘j’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:1: warning: type of ‘s’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:1: warning: type of ‘a’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:20: warning: implicit declaration of function ‘strtol’ [-Wimplicit-function-declaration]
 main(j,s,a){for(;s=strtol(gets(&s),0,2);puts(&a))for(j=a=48;--j;)a+=j*j-j==s*2;}
                    ^
/tmp/code.c:1:27: warning: implicit declaration of function ‘gets’ [-Wimplicit-function-declaration]
 main(j,s,a){for(;s=strtol(gets(&s),0,2);puts(&a))for(j=a=48;--j;)a+=j*j-j==s*2;}
                           ^
/tmp/code.c:1:1: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
 main(j,s,a){for(;s=strtol(gets(&s),0,2);puts(&a))for(j=a=48;--j;)a+=j*j-j==s*2;}
 ^
/tmp/code.c:1:41: warning: implicit declaration of function ‘puts’ [-Wimplicit-function-declaration]
 main(j,s,a){for(;s=strtol(gets(&s),0,2);puts(&a))for(j=a=48;--j;)a+=j*j-j==s*2;}
                                         ^
/tmp/ccjL99eS.o: In function `main':
code.c:(.text.startup+0x18): warning: the `gets' function is dangerous and should not be used.
/home/esolang/bin/c-gcc: line 6:    13 Done                    cat -
        14 Segmentation fault      (core dumped) | /tmp/code

strace