VTU 5th Sem TOC | Regular Expression by State Elimination (2 Solved FAs)| Module 2|BCS503|RE from FA

Welcome to Express VTU 4 All 🎓 In this video, we solve two important finite automata problems from Module-02: Regular Expression & Finite Automata of Theory of Computation (BCS503 – VTU 5th Sem CSE). We use the State Elimination Technique to convert the given FA diagrams into Regular Expressions (REs) — a very common VTU exam question. --- ✅ Question: Q) Obtain the Regular Expression for the following Finite Automata using State Elimination Technique. Two automata are given: --- ✦ (i) FA with States A, B, C, D Transitions: A ↔ B (0 forward, 1 backward) A → D on 1 B → C on 1 D → C on 1 C loops on 0,1 We eliminate states step-by-step and combine loop paths to form the Regular Expression. ⭐ Final Regular Expression (i): \boxed{(0 + 1)^* 1 (0 + 1)^*} This FA accepts all strings over {0,1} that contain at least one 1. --- ✦ (ii) FA with States q0, q1, q2, q3 Transitions: q0 —1→ q1 q1 loops on 0,1 q0 —0→ q2 q2 —0→ q3 q3 loops on 1 q1 —0→ q3 q2 —1→ q1 We systematically eliminate q2 and q3 to form direct paths between q0 and q1. ⭐ Final Regular Expression (ii): \boxed{1(0+1)^* \;+\; 0(1+0(0+1)^*)} This represents all strings accepted by the given FA — starting either with 1 followed by any string, or starting with 0 and reaching q3 through multiple options. --- 🧠 Concepts Covered in This Video ✔ How to eliminate states in FA ✔ How to compute new transitions between remaining states ✔ Using union (+), concatenation, and Kleene star ✔ Loop handling (R*) ✔ Drawing final simplified RE ✔ VTU exam-oriented solution steps --- 🎓 Useful For VTU 5th Sem CSE / ISE Theory of Computation – BCS503 Module 02: Regular Expressions & Finite Automata Students preparing for internals / externals / model papers Anyone learning FA → RE conversion --- VTU Theory of Computation BCS503 Module 2 Regular Expression using State Elimination FA to Regular Expression VTU State Elimination Method RE Module 2 important questions Finite Automata to RE conversion TOC solved examples state elimination VTU CSE 5th sem TOC Express VTU 4 All --- #VTU #BCS503 #TOC #FiniteAutomata #RegularExpression #StateElimination #AutomataTheory #VTU5thSem #ExamPreparation #ExpressVTU4All #Module02