How to change my password on iphone 5s from 4 digits to touch ID?

I keep trying to turn my password off so I can use the touch ID, and all the settings look right, but when I turn it off and turn it back on, it just goes to a 4 digit password, or no password at all! It feels like i've tried everything, and I'm so frustrated!

Their is no way to do that. To use Touch ID you will need a password it won't work without one. So your basically stuck with the password.