Translation mechanism for input/output addresses

A computing system includes a memory bus, an input/output bus, a main memory, and an input/output adapter. The memory bus provides information transfer. The input/output bus also provides information transfer. For example the input/output bus is an input/output bus onto which is connected input/output devices. The main memory is connected to the memory bus. The main memory includes a page directory. The page directory stores translations. Each translation in the page directory includes a portion of an address for data transferred over the input/output bus, for example, the page address portion of I/O bus address. Each translation in the page directory also is indexed by a portion of an address for a memory location within the main memory, for example, the page address portion of the address for the memory location. The input/output adapter is connected to the memory bus and the input/output bus. The input/output adapter includes an input/output translation look-aside buffer. The input/output translation look-aside buffer includes a portion of the translations stored in the page directory.