I would like to add a little bit here...
Please take the RAM out and put it (one module at a time) into a working system and run something like MemTest86+ (or similar) on each stick individually... Then run it with ALL of the sticks present, so you test dual-channel etc.
DO NOT run the BIOS update unless the system is stable. If it messes up you WILL need a motherboard for sure (if you don't already).
Take the motherboard OUT of the chassis... Sometimes some hack system builders put too many metal standoffs under the motherboard causing it to short to the chassis; hence, you MUST take it out to inspect that. A recommendation might be to take a LARGE piece of paper and use a marker to mark out each hole then verify that is EXACTLY where the stand-offs are located.
Some motherboards are finicky... If you try a bare bones POST (power -on self-test) read the manual to see which slot the RAM should be in... some work ONLY with the RAM in either slot 1 or slot 0.... Either way READ. Most do NOT care.
The minimum config for the system to POST is a power supply, CPU /w Cooler installed, one (1) stick of RAM, an monitor/keyboard (no mouse)... If no monitor port is integrated on the motherboard, you will need to add a video card too.
Double-Check the 4-Pin connector (or 6-pin connector is installed, too).
Reset the CMOS jumper if there is one. If not read up to see if there is an alternate procedure like holding down some keys or something to flush ALL the system configuration parameters. You SHOULD be able to set the time.
Someone mentioned inspecting the CPU... it is not a bad idea, but pins do not bend themselves after the fact. It IS possible to have a damaged CPU that is missing a ground pin and it still works. It is highly unlikely, but clean the cooler, inspect it, and install it with fresh thermal interface material.
It is EASY to test the Power Supply under load... Basically, you turn on the computer and whether it POSTS or not WITH IT RUNNING you get a volt meter (make certain you are in VOLTS NOT AMPS OR YOU WILL SHORT IT) and you measure the voltage difference between the ground (BLACK) an the Red, Orange, Yellow... You should get 5, 3.3, and 12 respectively... The orange is very tough to check... you might need to back-probe the ATX power feed. If you have multiple rails they must EACH be checked.
It would NOT be a bad idea to inspect the capacitors in the power supply (with it off and disconnected) too... DO NOT TOUCH THEM... they may shock you.
Check your Power:
Make certain you have a proper three(3) prong power cable for the power supply and that your power source is checked with one of these (or similar).
http://www.amazon.com/TRC-90265-6-0...d_cp_hi_4?ie=UTF8&refRID=0XNM6NMN7A4SFPRCQWMP
I personally recommend GFCI just in case there is a ground fault issue. I carry one of these:
http://www.amazon.com/TRC-90265-6-0...d_cp_hi_4?ie=UTF8&refRID=0XNM6NMN7A4SFPRCQWMP
Again, you should TEST it with the above tester (or similar) to confirm the GFCI works too...
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Typically if a system will not POST and it is not the RAM or hanging on a drive (unlikely with a blank screen) it is either the Motherboard or Power Supply.
You may want to test the Power Supply with a different computer to double-check it is okay. If it is the motehrboard, you will likely need a new motherboard, RAM, and CPU; since, older DDR2 RAM and an AMD AM2 (or 939) is not going to be compatible with any new motherboards.
I should say when testing the original motherboard with known good RAM y ou will want to try the stick in each of the two slots (or 4 slots) to test each slot as well.