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All IP addresses are broken down into 4 sets of octets that break down into binary to represent the actual IP address.
The below chart is a basic example of the basic IP 255.255.255.255.
You are referring to Ipv4. The length of the IP address in IPv4 is 32 bits.. These 32 bits are broken down into 4 octets of 8 bits each. So, the maximum value that each octet can take is 2^8-1, which is 255.
Hence, the maximum possible ip address is 255.255.255.255, which is the same as 11111111.11111111.11111111.11111111 in binary..
But in IPv6, which ic the new version of internet protocol, the IP address is of length 128 bits and it's divided into 8 groups of 16 bits each. So, a typical ip address in ipv6 looks like
IPv6 has been introduce to accomodate the increasing number of sites so that more number of ip addresses can be accomodated like there has been increase of one digit in phone number in Delhi