DFA to Accept Strings Ending with ‘ab’ or ‘ba’ | Transition Diagram & Table | Automata Theory

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In this video, we’ll learn step-by-step how to construct a DFA (Deterministic Finite Automata) to accept strings over {a, b} that end with ‘ab’ or ‘ba’.

If you’re a student preparing for Theory of Computation, Automata Theory, or Compiler Design, this tutorial will make the concept crystal clear. We start by understanding the problem statement, then move on to drawing the DFA transition diagram, forming the transition table, and testing it using multiple input strings to verify correctness.

This DFA question is one of the most commonly asked topics in university exams, GATE CS, and NET Computer Science. By the end of this video, you’ll not only understand how to design DFAs for such patterns but also gain confidence to solve other problems involving strings ending with specific patterns like aa, bb, or aba.

Our explanation is simple, visual, and easy to follow — making even a complex DFA problem intuitive and interesting!

👉 Watch till the end to see the test case verification in action.
💬 Comment below if you have any doubts or want us to explain other DFA/NFA examples.
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