Consider the following three interleaved memory designs for a main memory system with 16 memory modules. Each module is assumed to have a capacity of 1 Mbyte. The machine is byte-addressable.

Design 1: 16 –way interleaving with one memory bank.

Design 2: 8–way interleaving with two memory banks.

Design 3: 4–way interleaving with four memory banks.

(a) Specify the address formats for each of the above memory organizations.

(b) Determine the maximum memory bandwidth obtained if only one memory module fails in each of the above memory organizations