It appears that some of your new hardware is either faulty or incorrectly installed. The beeps you are hearing are coming from your motherboard, What they mean;
1 Short: System Boot Successfully
2 Short: CMOS setting error
1 Long, 1 Short: Memory or motherboard error
1 Long 2 short: Monitor or graphics card error
1 long 3 Short: Keyboard error
1 long 9 short: BIOS ROM error
Continuous long beeps: Graphics card not inserted properly
Continuous short beeps: Power Error
These can be found on page 92 of the manual that came with the motherboard.
If you look on page 93/94 there are some troubleshooting flow diagrams.
If you don't have the manual you can download it here:
GIGABYTE - Support - Motherboard - Manual - GA-MA790X-DS4 (rev. 1.0)