Converting Moore to Mealy When first Node has Output This is a homework question, which I am able to do, except my teacher failed to mention what to do when the very first node has a 1 output. I've looked through online examples, and I'm sure this has a very simple answer, but I cannot figure out what the convention would be.
On the left, we have a Moore Machine. It's first node outputs 1. Ok, no problem.
But when I convert this to a Mealy, the only time q1 outputs 1, is when being traversed from q2.

But if it's the first node, it should be outputting when the whole thing begins (on lambda) AND when being traversed from q2.
I had two theories, one-- I make a new beginning node, or, I actually put λ/1 on the entry arrow/line (which I have not seen done in any example). But I'd rather not guess my way through this otherwise simple operation.
Answering my own question like a silly person:
Ok, I learned what I was missing. A Mealy Machine cannot handle a lambda as I thought it could. As a result, my question has no real answer. Things do NOT output at the first node. Only the first traversal after the first node has any real meaning.