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Each of these entities that connected to the Internet had limited networked computing infrastructures. Typically, these infrastructures consisted of little more than a mainframe computer or a handful of UNIX-based minicomputers. PCs had yet to coalesce into a usable format, and local-area networks (LANs) were in their infancy. Therefore, an internetwork did not require a robust architecture. The original Internet was given a relatively simple, but compact, two-level hierarchy. The top level was the Internet itself, and the bottom level was the collection of individual networks that were interconnected via the Internet.
This prefix could be of any length rather than just 8, 16, or 24 bits. This allows CIDR to craft network address spaces according to the size of a network instead of force-fitting networks into presized network address spaces. Each CIDR-compliant network address is advertised with a specific bit mask. This mask identifies the length of the network prefix. 8/20 identifies a CIDR address with a 20-bit network address. The IP address can be any mathematically valid address regardless of whether that address was originally part of the Class A, B, or C range!
Therefore, this binary number has a decimal value that is 16 less than 255: 128 + 64 + 32 + 8 + 4 + 2 + 1 = 239. 47] Understanding Internetwork Addresses Decimal 128 64 32 16 8 4 2 1 This relationship between binary and decimal numbers is the foundation for the entire IP address architecture. Remember that there are four binary octets in each IPv4 address. Every other aspect of IP's address architecture, including subnetwork masking, VLSM, and CIDR, is based on these number systems. Therefore, you must understand the relationship between these basic numbering systems, and conversion between them, before you can understand the various ways that IP addressing can be implemented.