Abstract: A system and a method for parallel computing for solving complex problems is envisaged. Particularly, hierarchical parallel computing system is envisaged by this invention, which is formed by multiple levels of groups, where each group consists of multiple processing elements. Each group of the parallel computing system models as processing element to its immediate upper layer. Thus, each processing element is hierarchically tagged to its immediate upper level, and a multi-level tier of groups are formed. In accordance with this invention, the parallel computing system operates by breaking any problem hierarchically, first across the groups and then within the groups. This hierarchical breakup of the problem helps in significantly improving the time required for processing a problem.