z80, 42 bytes

Result

WA

Code [DL]

00000000  0c 2e 00 cd 03 80 38 21  e6 01 cb 25 85 6f cb 21  |......8!...%.o.!|
00000010  20 f1 cd 03 80 af 11 00  00 2c 2d 20 06 3c c6 30  | ........,- .<.0|
00000020  ff 18 dd 1b 19 38 f2 18  f5 76                    |.....8...v|
0000002a

Disassembly

        ORG     0000h

L0000:  INC     C
        LD      L,00h
L0003:  CALL    8003h
        JR      C,L0029
        AND     01h
        SLA     L
        ADD     A,L
        LD      L,A
        SLA     C
        JR      NZ,L0003
        CALL    8003h
        XOR     A
        LD      DE,0000h
L0019:  INC     L
        DEC     L
        JR      NZ,L0023
        INC     A
L001E:  ADD     A,30h           ; '0'
        RST     0x38

L0021:  JR      L0000

L0023:  DEC     DE
        ADD     HL,DE
        JR      C,L0019
        JR      L001E

L0029:  HALT

stdin

10111000
01001110
11110001
00111111
01000111
10011000
00001111
00000011
00001001
00111110
11100111
10111110
00011100
01111000
00101101
01111000
00100001
01011011
01001001
00001010
01100001
11100011
10011001
10100101
10111100
10000101
10001100
10001001
00100100
01111100
00000001
00000000
11000110
11110011
00000001
01101010
00000110
10110010
01100111
11010010
00110111
00010101
10101011
01101001
01000010
10001000
10010011
01001010
10011100
11111101

stdout

01111111101111111111111101111111011111111111111011

stderr

strace