Bear with me as this will be lengthy.
You're looking at a VIA Southbridge chip.
The Northbridge chip, and Southbridge chip, make up the motherboard chipset.
(For the technology used in that motherboard)http://en.wikipedia.org/wiki/File:Motherboard_diagram.svg
In the motherboard diagram above, CPU stands for Central Processing Unit. Another term used is Microprocessor, or simply Processor for short.
The Northbridge chip of the motherboard chipset, handles the faster processes of the computer.
The Southbridge chip handles the slower processes.
The Northbridge chip handles the Processor, Ram Memory, and high speed graphics.
High speed graphics being AGP, or PCI Express.
Not a graphics card inserted into a PCI slot, and not Integrated Graphics.
The Southbridge chip handles Integrated Graphics, or a graphics card inserted into a PCI slot, or any adapter card inserted into a PCI slot.
Anything to do with a PCI bus.
It also handles IDE devices such as an IDE harddrive, (Or harddrives), and IDE optical drive/s, (CD/DVD), plus SATA devices.
Plus it handles USB ports, an Ethernet port, and so on.
[The rest of the slower processes are detailed in the motherboard diagram]
The Northbridge chip on your motherboard will be under a Heatsink.
The Heatsink is glued on to the top of the chip.
(Chip and Chipset are slang terms for I.C.
This photo shows a typical motherboard, and the Heatsink on the Northbridge chip,http://en.wikipedia.org/wiki/File:Asus_a8n_VMCSM02.jpg
In the center of the photo you will see a square aluminum looking object, that has fins on it.
This is a Heatsink, and it's attached to the top of the Northbridge chip's case.
You can left-click on the photo to enlarge it. You can click twice.
(This Asus A8N-VM CSM motherboard, uses an Nvidia Northbridge chip, and an Nvidia Southbridge chip. The VIA chip you see is a Firewire controller chip. VT6307)
To your problem;
1) If your monitor cable is removable, remove it, and use a KNOWN to be good one. Check to see if it's a bad monitor cable.
If the monitor cable is not removable, use a Known to be good monitor, and it's cable.
2) The problem could be the Integrated Graphics on your motherboard. The GPU could be bad.
(Assuming you're not using a graphics card)
[ Integrated Graphics, and GPU:
GPU stands for Graphics Processing Unit. It is a chip.
The GPU could be soldered directly to the motherboard, or soldered to a removable adapter card.
Soldered to the motherboard = Integrated Graphics.
Another term used for Integrated Graphics is OnBoard graphics.
ON the motherBOARD.
Integrated graphics used on your motherboard, will have a blue VGA port that you plug your monitor into.
Newer motherboards will use either a VGA port, or a DVI port, (White), or both.
Soldered to a removable adapter card = Graphics Card.
Also known as a Video Card ]
The way you would test to see if Integrated Graphics is bad, on your motherboard, is to use a graphics card.
3) A VERY large percentage of computer problems is a bad Power Supply. Weak voltage power rail.
Has enough power to light LED lights, and spin fans, but not enough to turn the Processor on.
A) ALL of the LED lights combined use less than 1 Watt of power.
B) EACH fan uses 2 to 3 Watts
C) A typical Processor can use 51 to 125 Watts.
(Older Processor's, such as an Intel Pentium III for example, use less power)
No processor operating, No computer.
No computer = No Signal on the monitor.
No video signal.