I know it is a trivial question but are $111^*$ and $11^*1$ equivalent? (I think yes because I can have 11 in both at minimum but that seems odd to be true). I am trying to understand automata theory and I am currently converting an AFD -> AFN -> Regular expression. I perhaps made a mistake while converting but my AFD gives $11^*1$ (with other terms) and my AFN gives $111^*$ (with other terms). So I would like to know if they are the same or if I did a mistake while converting.
If they are not equivalent, how do we convert an AFN to AFD in this scenario and respecting that specific order? (see attached)
