State Minimization And State Assignment Of Fini... <WORKING × 2026>

: States are divided into groups (blocks) based on their outputs. These blocks are then refined based on where their next states land until no further splitting is possible. 2. State Assignment (State Encoding)

The goal of state minimization is to identify and merge to reduce the number of flip-flops and the complexity of the next-state logic. Two states are equivalent if they produce the same output and transition to the same (or equivalent) next states for every possible input.

In digital design, and State Assignment are the two critical phases for optimizing Finite State Machines (FSMs) . Minimizing states reduces the total hardware footprint, while strategic assignment ensures the resulting logic gates are as simple and efficient as possible. 1. State Minimization

: A systematic method that uses a grid to compare all pairs of states. It identifies pairs that cannot be equivalent and iteratively narrows down those that are.