Is a DHCP server required to have a registered IP address? Or can it have a private NAT address?

I am setting up a network with on access router and a firewall. The access router and the firewall both have registered IP addresses. Does my domain controller, acting as a DHCP server have to have a registered IP, or can it have a private address?

Public Comments

1. DHCP has to have a registered IP address
2. The router will be bridging the networks so your DC can have a non-routable address
3. it can have a private IP there is no reason to have a DC publicly accessible. if you need to authenticate to it externally you should set up vpn tunneling.
4. no need.only the router connecting to the internet should have one..others in the home network can be assigned private addresses