The beeps you hear are BIOS Beep Codes. The computer's way of telling you something is wrong, and an area to start looking into for the problem.
As the name states, it is a Code. A single beep, or a series of beeps.
(One single beep means ram memory count passed)
Your BIOS Beep Code is 1 single long beep, (Pause), and 3 short beeps; (Pause), followed by 2 long beeps.
A) Computer unplugged from power, Anti-Static Precautions followed; remove all Ram Memory modules. ('Stick')
If you do not know about Anti-Static Precautions DO NOT reach inside your computer; post back in a Comment.
Clean the gold plated contact pins with a pencil eraser.
If you are using an eraser on the end of a pencil, and not a solid eraser, refrain from letting the metal band of the pencil touch the contact pins.
Handle the Ram Memory module by the BODY.
The Body is everywhere on the Ram Memory module, EXCEPT the gold plated contact pins at the bottom.
The Body is coated with a see-through protective plastic.http://en.wikipedia.org/wiki/File:Generic_DDR_Memory_%28Xytram%29.jpg
Rub up, and down on EACH contact pin. BOTH sides.
Doesn't take much rubbing, nor a lot of pressure.
In fact when you are finished, the contact pins may not be bright, and shiny.
You have cleaned them I assure you. Doesn't take much 'corrosion' to make a bad contact surface.
Use air to remove the eraser dust. If you have a can of compressed air available, use it. If not air pressure from your mouth will be sufficient.
(If compressed air is available, also use it on the Ram Memory slots)
Just in case;
Note there is a Locating Notch on the bottom of the Ram Memory module. At a casual glance it may look to be centered.
It is NOT.
(DDR Sdram, DDR2 Sdram, and DDR3 Sdram ram memory. DDR Sdram example is shown in link above.
Sdram, or it's proper name; SDR Sdram, has TWO locating notches)
The Locating Notch lines up with a Locating Lug, in the bottom of the Ram Memory slot on the motherboard.
(Or two Locating Lugs for SDR Sdram)
ONLY goes in one way; one direction.
The bottom corners of the Ram Memory module sit down in the bottom corner, of the Lock.
With ram memory module Locating Notch properly lined up, with the Locating Lug, the bottom corners of the module are set down into the two Locks.
When you press straight down, the Locks come up, and Lock into place. Click, click.
(The ram memory modules have Side Notches.
There is a 'bump', or protrusion on the Lock, which fits into the Side Notch, when the ram memory is properly in place, and seated correctly.
Note* The 'bump' on the Lock will not fit EXACTLY into the Side Notch. Close is good. You SHOULD hear a click though, when the Lock is properly in the Locked position )
Also make sure the inside of your computer is clean. The two leading causes of desktop computer failure is;
1) Computer is dirty inside
2) Bad Power Supply. (Weak voltage power rail)
IF, you have never replaced the Thermal Paste on the Processor, this would be a real good time.
Thermal Paste dries up over time, and even if it doesn't, it loses it's thermal conductivity properties over time.http://www.tigerdirect.com/applications/SearchTools/item-details.asp?EdpNo=6470733&CatId=503
What is the model number? Back of computer next to the Windows product key, or up on the side of the computer tower. Post back in a Comment.