A computer system includes a translation lookaside buffer (TLB) and a processor. The TLB comprises a first TLB array and a second TLB array, and stores entries comprising virtual address information and corresponding real address information. The processor is configured to receive a first virtual address for translation, and to concurrently determine if the TLB stores a physical address associated with the first virtual address based on a first portion and a second portion of the first virtual address. The first portion is associated with a first page size and the second portion is associated with a second page size (different from the first page size). The first portion is used to perform lookup in either one of the first TLB array and the second TLB array and the second portion is used for performing lookup in other one of the first TLB array and the second TLB array.