# What is the equivalent one-cold encoding of a finite state machine with four states? The Equivalent One-Hot Encoding of a Finite State Machine with Four States

The Equivalent One-Hot Encoding of a Finite State Machine with Four States

A finite state machine (FSM) is a mathematical model which is composed of a set of states, transitions, and inputs. The equivalent one-hot encoding of an FSM with four states is a data structure that works by encoding each state as a binary vector of length four. In this representation, only one bit is set to one at any given moment, while the remaining bits are all set to zero. The one-hot encoding is useful for representing and manipulating information within an FSM because it provides a clear and concise representation of the current state and all possible transitions. The one-hot encoding of an FSM with four states can be illustrated using a truth table. In the truth table, each row represents a state and each column represents an input. For instance, if the FSM has four states labeled A, B, C, and D, then the truth table would contain four rows and one column for each input. When the input is applied to the FSM, the state in the corresponding row is activated. The advantage of this representation is that the states can be easily manipulated in the FSM ((Lam & Wong, 2016). For example, if a transition from state A to state B is desired, the transition can be represented by setting the appropriate bit in the truth table to one. This approach allows for efficient manipulation of the FSM states without having to. Cont…

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