1. A method for operating an address translation device for translating a virtual address of a virtual address space comprising a plurality of pages into a physical address of a physical address space comprising a plurality of pages, with the use of a translation lookaside buffer and a page table, wherein the virtual address comprises a first address portion and a second address portion, and the virtual address is associated with a routing code, the physical address has first and second address portions, and the translation lookaside buffer contains a plurality of entries, each of which comprises at least one tag field and at least one data field associated to the tag field, the address translation being performed in the following manner: the translation lookaside buffer is indexed to an index by the routing code associated with the virtual address or by a mapping of the routing code associated with the virtual address, or it is indexed to an index by a mapping of the routing code associated with the virtual address and the first address portion of the virtual address; it is checked, whether the contents of a tag field the indexed entry of the translation lookaside buffer match the first address portion of the virtual address; if a tag field exists with contents that match the first address portion of the virtual address, there is a TLB hit, and the physical address is composed from the contents of the data field associated with this tag field, as the first address portion of the physical address, and from the second address portion of the virtual address; if there is no tag field in the indexed entry that would match the first address portion of the virtual address, there is a TLB miss, and the first address portion of the physical address is derived from the page table, the page table being parsed according to the virtual address without requiring use of the routing code, and the physical address being composed from the first address portion resulting from the first address portion and from the second address portion of the virtual address, and the first address portion of the virtual address, as well as the first address portion of the physical address resulting from the page table being taken into the TLB, wherein, upon a TLB miss, the first address portion of the virtual address and the first address portion of the physical address resulting from the page table are loaded into that entry of the translation lookaside buffer that has been indexed during the access to the translation lookaside buffer, which is the basis of the TLB miss.