“…The idea of the Satisfying of the Boolean Formula is to decide if the Boolean Formula in the Conjunctive Normal Form (CNF) has a true assignment that satisfies each clause or decides that no label assignment exists [4]. Various optimization problem can be translated into Exact kSAT representation is closely related to several interesting NP-complete problems, such as Exact Hitting Set [5], minimum hitting set [6] and Exact cover [7], monotone ExactSAT is the same as the exact hitting [8], set problem on hypergraphs [9], Exact graph colouring problem [10], exact independent set [11] and it is closely related to the set partitioning problem [12]. Various NP-complete problems such as N-queen problems, Scheduling problem, Transportation problem can be transformed and represented in form ExactkSAT and have many applications in combinatorial optimization that falls into the category of optimization, sorting, decision or counting scheme for solving the satisfiability problem and is sub-optimal and partially heuristic in nature.…”