1. A computer system for translating addresses in a computing environment, said computer system comprising: an adapter; and a hardware unit coupled to the adapter, wherein the hardware unit is configured to perform a method, the method comprising: obtaining an address from the adapter to be translated by traversing a number of levels of address translation tables, the address to be translated by traversing the number of levels of address translation tables comprising a plurality of bits, the plurality of bits comprising a first portion of bits and a second portion of bits; and converting the address to a memory address usable in accessing memory of the computing environment, the converting ignoring the first portion of bits in traversing the number of levels of address translation tables and using the second portion of bits in traversing the number of levels of address translation tables to obtain address information from one or more levels of address translation tables to obtain the memory address, wherein the traversing the number of levels of address translation tables includes using one part of the second portion of bits to locate an entry in one address translation table at one level of address translation tables, and using information in that entry to select another table to be used in obtaining the address information.