Numerical interpretation Topologically, the set of subnets described by CIDR represent a cover of the corresponding address space. The interval described by the notation numerically corresponds to addresses of the form (for IPv4) , where has the lower bits set to 0. (For IPv6, substitute 128.) For a fixed , the set of all subnets constitute a partition, that is a cover of non-overlapping sets. Increasing yields finer and finer subpartitions. Thus two subnets and are either disjoint or one is a subnet of the other.
Numerical interpretation Topologically, the set of subnets described by CIDR represent a cover of the corresponding address space. The interval described by the notation num:erically corresponds to addresses of th:e form (for IPv4) , where has the lower bits set to 0. (For IPv6, substitute 128.) For a fixed , the set of all subnets constitute a par:tition, that is a cover of non-overlapping sets. Increasing yields finer and finer subpartitions. Thus two subnets and are either disjoint or one is a subnet of the other.