The answer to your question is YES. You do have to register.
Below please find a link to the Michigan State Police and the answer to the question "who has to register?"http://www.mipsor.state.mi.us/PSOR_FAQ.aspx#15
So long as you were committed to jail or prison, you had to register in Michigan. Pay special attention to the second bullet point.
Once you were discharged in Michigan, when you moved to California, you also had the responsibility to register. California law states that if a sex offender was convicted in another state, he or she is very likely to be required to register in California, and should register in accordance with the sex offender registration law. If the offender is not required to register in California, the Department of Justice
will notify him or her of that assessment and terminate the registration.
I wish that I could have provided you with an answer that was more favorable to you. But, the law is clear.
I hope you find this information useful. If you have follow up questions, please ask. If you are satisfied with the answer, PLEASE PRESS THE GREEN ACCEPT BUTTON so that I can get credit for answering the question. Thank you.