More likely is that the device pulling the IP requests the same one it had before reboot/whatever and the ISP's equipment honors this request if the address is still available. This is how my company's DHCP servers operate.

I run Windows ME and I reboot that many times in a day!

Don't forget http://www.ipv6porn.co.nz/ which only serves up pr0n to an IPv6 connection.

Buy a double-male 1/8" headphone cord and connect the microphone and headphone ports. Then put Party in the USA on an endless loop.

Stupid Anatolians, dey tear down my schitty wall!