There are a lot of weird things... You are assuming 8 bits per byte, but a byte can be any number of bits. With two bytes of 7 bits each, the range is only ab

There are a lot of weird things... You are assuming 8 bits per byte, but a byte can be any number of bits. With two bytes of 7 bits each, the range is only about 40 years. Is is also impractical when the storing media is punch-cards, and the systems adder unit only counts in binary coded decimal.