Q27

Every host in an $\textsf{IPv4}$ network has a $1\text{-second}$ resolution real-time clock with battery backup. Each host needs to generate up to $1000$ unique identifiers per second. Assume that each host has a globally unique $\textsf{IPv4}$ address. Design a $50\text{-bit}$ globally unique ID for this purpose. After what period (in seconds) will the identifiers generated by a host wrap around?