Question

Question : The formal description of a DFA M is $\left(\left\{\mathbf{q}\mathbf{1},\mathbf{q}\mathbf{2},\mathbf{q}\mathbf{3},\mathbf{q}\mathbf{4},\mathbf{q}\mathbf{5}\right\},\left\{\mathbf{u},\mathbf{d}\right\},\mathbf{\delta },\mathbf{q}\mathbf{3},\left\{\mathbf{q}\mathbf{3}\right\}\right)$, where δ is given by the following table. Draw the state diagram of this machine.

Short answer

Answer:

The state diagram is

Step-by-step solution

Explain the given DFA

The specified DFA M is defined as follows:

$$\begin{gathered} M=(Q,\sum ,\delta ,q_3,F) \\ Q=\{q_1,q_2,q_3,q_4,q_5\} \\ a=\{u,d\} \\ \delta =Transition \end{gathered}$$

The transition of the given DFA is given as follows:

Step 2: Draw the state diagram of the given machine

Assume that the initial state and the final state is $q_3$, and represent it by double circle. The transitions are made from one state to another based on the input symbol and the data from the table given. The state diagram for the DFA M is as follows:

Therefore, the state diagram for the machine M has been obtained.