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Subnets work exactly like classful networks in that they require a router to get to other networks and have a network address, a directed broadcast address, and a specific set of hosts. To quote from RFC 917:
We discuss the utility of “subnets” of Internet networks, which are logically visible sub-sections of a single Internet network. For administrative or technical reasons, many organizations have chosen to divide one Internet network into several subnets, instead of acquiring a set of Internet network numbers.