H1 to H4- COS with future effective date- 2 weeks notice to current employer-Including floating days

I have a H1B valid till June 8th 2018. I am in the process to requesting COS to H4 with a future date of June 1 2018.I had a question around maintaining my status before June 1. As per the law, I should absolutely stop working on June 1 since that is the day my status of H4 will be initiated. However, I have 4 days of floating holidays with my current employer. Can I still have my end date as June 4 if I take the last few days as floaters and not working? Or will my last date of work as the day my status was valid?

Its really important and appreciate all the response!!

Cheers!!