HP530 model, 2007 make, with 32 bit Processor (dual core T2400 by Intel), 945 chipset, and pre-installed Vista.
I upgraded vista to Win8 Pro and left 9GB free for installation of UBUNTU. It is Safer to assume that Win8 is using UEFI.
The solution for installing Ubuntu requires use of 64 bit version, whereas the processor supports only 32 bit. Let me know whether I can use the 64 bit version and install it on my 32 bit system, IF not, then the solution is not applicable for my system.
Let me know the solution for 32 bit. I can wait for future version like Ubuntu 13.04 if the matter is expected to be resolved by the new version.
Uninstalling Win8 and reinstalling it in Legacy mode is not an option for me.
This portion was added in response to suggestions: The boot info url is http://paste.ubuntu.com/5636872/