A memory system includes multiple (N) memory banks and multiple (M) ports, wherein N is greater than or equal to M. Each of the memory banks is coupled to each of the ports. Access requests are transmitted simultaneously on each of the ports. However, each of the simultaneous access requests specifies a different memory bank. Each memory bank monitors the access requests on the ports, and determines whether any of the access requests specify the memory bank. Upon determining that an access request specifies the memory bank, the memory bank performs an access to an array of single-port memory cells. Simultaneous accesses are performed in multiple memory banks, providing a bandwidth equal to the bandwidth of one memory bank times the number of ports. An additional level of hierarchy may be provided, which allows further multiplication of the number of simultaneously accessed ports, with minimal area overhead.