Hello,
I would suggested trying to reseat the processor to see if that might resolve the beep code. Really beyond that, this appears to be hardware related, and more than likely is it either system board, CPU, or CPU socket related. However, reseatting the CPU might help. I know this sounds ridiculous, but also clearing the CMOS on the system can also make a difference with these older desktops.
Hope this helps!
Sincerely,
Wendy_R