c_b = ''.join(format(ord(b), '08b') for b in c)
bin1.append(c_b[0])

bin1_counted = Counter(bin1)

Counter({'0': 646491, '1': 603686})
Counter({'0': 642133, '1': 608044})
Counter({'0': 644298, '1': 605879})
Counter({'0': 641961, '1': 608216})
Counter({'0': 641778, '1': 608399})
Counter({'0': 640538, '1': 609639})
Counter({'0': 641531, '1': 608646})