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No, binary numbers don't consist of ones and twos, they are ones and zeros.
Binary
Binary Numbers all a computer knows!
It is because computers are electronic. In simple terms, 1 and 0 are used to represent data linking in to how electricity can either be flowing or not, like a light switch being on and off.
Binary numbers are written with two symbols, 0 and 1. It is not about counting by 2, any number can be written as a binary number, with the correct sequence of zeros and ones.