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in this lecture well be seeing another example of how to find the a regular expression for a given NFA so if we see here we have an NFA given and our task is to design the regular expression for the given NFA so in order to do this what we have to do is we have to write the equations for each of the states of this NFA and after doing that we have to put the equations of all these states to the equation of the final state and that will give us the required regular expression for the even NFA so this will become clear and we solve it and lets see how we can do this so here we see that we have three states q1 q2 and q3 where q1 is a starting state and q3 is the final state so first of all let us write the equations for the states that I was talking about so first of all its checked for the final state that is q3 so how do we write the equation for this in order to write the equation for any state check what are the incoming transitions to that state so here we see that this is the inc