Discrete Mathematics in English | Finite State Machine - FSM Design | Digital Electronics By GP Sir
Dr.Gajendra Purohit・2 minutes read
Dr. Gajendra Purohit's YouTube channel focuses on Engineering, Mathematics, and B.Sc. topics and includes videos on discrete mathematics, explaining finite state machines with detailed examples and practical exercises for converting diagrams into tables. The process involves mapping state transitions based on input-output sequences to create an accurate state table representation.
Insights
- Dr. Gajendra Purohit's YouTube channel focuses on Engineering, Mathematics, and B.Sc. topics for competitive exam preparation, with a particular emphasis on discrete mathematics and finite state machines.
- The concept of finite state machines involves a six-tuple denoted by S, I, O, F, G, and S zero, representing states, inputs, outputs, transition functions, output functions, and initial states, respectively. The process includes converting tables into state diagrams and vice versa, with detailed examples and practical exercises provided to understand state transitions, inputs, and outputs thoroughly.
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What topics does Dr. Gajendra Purohit cover on his YouTube channel?
Engineering, Mathematics, B.Sc. for competitive exams
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Summary
00:00
"Finite State Machines: Tables to Diagrams"
- Dr. Gajendra Purohit hosts a YouTube channel focusing on Engineering, Mathematics, and B.Sc. topics for competitive exam preparation.
- The channel contains numerous videos on discrete mathematics, with links provided in the video description.
- Dr. Purohit introduces the concept of finite state machines, emphasizing input-output relationships.
- A finite state machine is defined by a six-tuple denoted by S, I, O, F, G, and S zero.
- S represents states, I denotes inputs, O signifies outputs, F is the transition function, G is the output function, and S zero is the initial state.
- The process involves converting tables into state diagrams and vice versa.
- Detailed examples are provided on converting tables to diagrams, highlighting state transitions, inputs, and outputs.
- The explanation includes scenarios of self-loops, transitions between states, and corresponding inputs and outputs.
- Instructions are given on creating tables from diagrams, focusing on state transitions, inputs, and outputs.
- Practical exercises are presented, guiding students on converting diagrams into tables based on given inputs and outputs.
12:07
Constructing State Table for Finite State Machine
- Given a diagram representing a finite state machine with input and output sequences of zero one zero one, the task is to create a state table based on this information.
- The process involves listing the states (S zero to S four), mapping the transitions of each state based on the input (zero or one), and determining the corresponding output (zero or one) for each transition.
- By carefully analyzing the diagram and input-output sequences, the state table is constructed by detailing the state transitions, inputs, and outputs for each state, ensuring accuracy in the final table representation.
