Critically Analyzing the Behavior of Fuzzy Flip Flops and Searching for Better Solutions

Abstract— Sequential circuits are the important components of a computer system as they process binary data and buffers binary output for the next period.. Sequential circuits are the interconnection of logic gates and Flip Flops and the buffering of binary output for the next period is carried out by the Flip Flops by their inherent feedback mechanism. Sequential circuits basically process binary data sequentially with an automated method of state transition which is solely driven by the Flip Flops. Among the different Flip Flops J-K FlipFlop is the major one and the most elementary and general unit of the sequential digital circuits. In this paper the J-K Flip Flops driven by Fuzzy rules are viewed as an improvised form of the Flip Flops based on the Boolean rules and the various operative aspects of them are examined . Firstly the detailed comparison between Fuzzy logic and Boolean axiomatic properties are carried out ,then the Fuzzy logic driven Flip Flops with non associative properties are studied and the input-output relationships as well as the expressions of outputs in the next period are derived considering different combinations of the outputs in current period and inputs in the next period . At last the rules of output and different input conditions are analyzed and derived. The later part of the paper deals with the unstable situation of Fuzzy J-K Flip Flops over the different states and provides with some measure to avoid the same. Thus this paper deals with the formulation of fuzzy operational rules for the J-K Flip Flop on the one hand and attempts to find a concrete solution to the problem of unstable states of J-K fuzzy Flip Flops on the other.