Is my HDD brick Dead or ?                                 

HDD means Hard disk drive,  not SSD, SSD means solid state Drive, (as in motor free) SSD uses this technology.

A hard disk works like this, an electric motor, a media platter, a set of heads, and a head servo actuator and a SATA comm chip. (any of these can fail).

I will pose a list of IF's , as tests.
What is BIOS?, it's ROM, that can not forget. It runs even with NO HARD drives present or USB sticks or USB drives, or CD drives in the the system. 
Do not confuse a Dead HDD with BIOS "forgetting" to boot to it.  (look first in BIOS) See Disk enable and disk boot order. (HP has an at Boot, F9 hot key to pick the boot device at any time, at boot time)
If the PSU is bad, with low output voltages or has noise, or the fan is burned up and overheats, be wise to deal with this first. PSU (DT) , is first, first.  Bad power makes all HDD fail.
If the drive has 5vdc and 12vdc at the power pins and the motor is dead silent the HDD is DEAD. (smash it  flat (Google,gloves and hammer), and ash can it , now)  The motor must be heard to spin with power on.
If power systems voltages are bad in say a  LT , the power regs are toasted. or the power pack is bad or the main battery is shorted. LT means Laptop,. DT means Desktop.
If a laptop? then  always test the LT with no main battery first. always.
If BIOS can not see the drive in the BIOS screens then the drive is dead..
The BIOS scans the HDD and sees a so called good drive, (to BIOS only) but will not READ/Write sectors, then the Drive is dead, See BIOS HARD disk test here.
If the HDD fails in 2nd PC as disk2 under test, the DRIVE IS DEAD.
If the HDD works in 2nd PC, then previous PC has dead HDD SATA  ports. (or a bad cables there, both cables not 1)
If the Drive spins and talks,  but the format is wrecked, then delete the partition, and reformat it NTFS, and reload Windows. (or better Linux Ubuntu)
If the drive spins, talks and the partitions are ok, but there is some file corruption, then do the backup now.

If the drive works great, but windows complains, and S.M.A.R.T Tells you it's out of SPARE sectors, then  it's time for a new SSD or HDD. Believe it.
If the drive overheats and the system fans are bad, fix the fans. now.
If the drive passes BIOS HDD tests this poor test, only proves it is not 100% dead.  This test is rudimentary.(it tests just a tiny space there)
There are programs (App.'s) that you can get for free or cost and does a full test of any HDD, but it erases all data.  (never ever use any low level format program from 1980s on this disk ,ever or you wreck it , forever)
These HDD all have smart chips inside that do repairs on said drive at all times , making drive seem error free, there is no zero errors, here, only the illusion of that, via the usage of spare redundant cylinders and sectors.
To learn how that works go to and read the white papers on topic. (It seems like magic, but is not)
Do know that if you change or delete partitions or format them you will lose data. see backup link above)
Do not ever drop a spinning HDD. Nor hit it. You will crash the heads.  (real damage there)
If your HDD clicks, over and over it's dead or power to it is BAD, (noise or low voltages) Seen many fail this way with huge power line surges or lightening hits.
SSD drives are silent, and 100% electronic, so only power and SATA comm.'s matter there.
A Slow, HDD needs to be De fragmented , from time to time,  every month?
A slow OS is usually a virus. (or overloaded with start up files, disable them? yet?) or the S.M.A.R.T page tells you DRIVE is bad or going bad. All drives end up bad. ALL DO.
More?, sure: (things to do with drive moved to TEST PC, say as Drive E:)
  1. Run Windows disk management in CP (control panel, command prompt type diskmgmt.msc) is the DRIVE missing? now?, and the 2 SATA cable not fallen off? yes then its DEAD.(or has no partitions now)
  2. The Windows command  "Diskpart" shows it's missing HDD or missing Windows Partitions  ? ( winkey +X "command prompt(admin)" pick this, get black box, type "DISKPART", wait ,wait, now type  LIST DISK. SEE this.
  3. I boot (more advanced tools help) I boot to a Linux CD or Udisk USB stick and run  GPARTED , is it missing? , yes, well it is dead.
  4. Run these tests on HOW TO GEEK?
  5. Run PASSMARK DISK CHECKUP on your system or with drive moved to another system (as drive 2)

The acid test on a HDD,  is : (after data backup)
  1. On a second PC,  as drive #2. (say E:) (or booting this PC on a LIVE CD called Linux live for Windows PE live.)
  2. Erase it totally , just delete the partitions. (do as the tool you are using tells you to do) if the drive fails here, it's bad.
  3. Run this program or others like it.(the last test is destructive)
  4. The full tests can take days. (depends on size) they make 10 tera-bytes now!
Think about this a moment , If the Windows folders have corrupted files, that neither CHKdsk can cure or no SFC /scannow can fix, then backup data, and format the drive and load a new  OS.
chkdsk E: /f (I'm running it on a test PC as drive 2 here)
Runs in a cmd.exe prompt the command in all Windows (Assumes drive under test is E:)
or run this on the failed system directly , if it runs at all. This is MS, System Files checker. Finds OS corruption and corrects it if possible.
SFC /scannow

Great links:

lots of drive test programs exist most are free.

I can move my dead HDD, to another system (one best way is an external Esata enclosure box) then run old DOS like commands. (cmd.exe box)
W10, press windows key + X,  click Command prompt (admin)
Type Diskpart wait for the Diskpart prompt ">"  then type list disk , enter
This command gives you the below listing.( if has 4 disks like me, most folks it will be 2 disks now (discounting andy CD/DVD/BDR optical drives)
If your added suspected bad  disk is missing, then it is dead , ask BIOS next.  Lets say it's a 1GB drive and is Disk2, here,  next go do CP diskmanagment to see what is there , as I do next below, after Diskpart.

I'm typing List Disk here. see?  If disk1 is the DISK UNDER TEST (DUT) then it seems not dead, yes more tests now.
type exit to exit Diskpart.

If BIOS pages shows it's dead, and Diskpart shows it's dead, and
CP Disk-Management page,  shows its dead (missing) it is dead. (hit Control panel + Administrative tools + Computer management) {W10 hit windows key, +X   then pick disk management}
With Disk-Management page each disk number is a physically different disk drive, internal or external, or USB.
If the old suspected bad disk was Windows, and was MBR formatted, it would look like and echo or your test PC's Disk1.  (same partition structures)
If the suspect disk is missing that means it's dead and PnP scans can not find it.
If the disk is there and hows un-Allocated, volume that means its failing or virgin, or is corrupted, or is a n alien format (say off a Apple PC) only further testing fill show what's up.
W10- MBR partitions, GPT disk are very different, partitions. This is my boot drive. (test PC)
Suspect bad Estata external drive,  bad disk, or Corrupted or Alien. Run drive tests on this now.
As you can see, Disk man. things the disk is just empty but does identify its self. 
If both PC's were same OS , both MBR? , then the 2 disks would look the same, as you see here, it does not.  Not the partitions seem missing.
A blank HDD, has no data at all, no partitions, but has a PnP identifier, that is read only and always functions, if not the Windows driver is dead.
Seagate has answers here.
If BOIS can't find your HDD, this is why.
The BIOS scans (lowest level scans) for all devices,  I call this BIOS PnP. In fact newer systems the BIOS even tells the OS , I found, X,Y,Z drives.
Hint, the BIOS scans all SATA ports and if a drive has  drive ready pin set true (not false) then it goes deeper and scans for the ID strings. 
This tells BIOS what drive is there and its size, maker and model number.
Some BIOS show no drive present , if the ready bit is false. (drive is dead, no  need to scan the dead is there!)
BIOS does this (raw) INT13 Function 48h
(get device parameters) BIOS call or issue an IDENTIFY_DEVICE ATA command directly to the drive.
Here is what it does. (knowing this, helps to diagnose any PC , HDD related or even bootfails, related)
At BIOS time there are no device drivers, only BIOS ROM function calls Int13 is one such set of code. 
Int 13 (fn:08 and fn:48) are  the ID commands "who are you". (If the processor Carry flag is set, the drive is dead or missing, if the busy bit is set, same deal)
I have actually hard coded with  "MS_ASM", a boot time (USB STICK) only program that erases a HDD. AAhex, the  55hex. Using Int13 ROM functions.
The BIOS rules for these actions: (Boot time) , are as follows, (legacy rules are still in effect) This is what booting means... passing control to the OS.(from BIOS)
It pulls itself up from it's bootstraps. Special thanks (RIP) Gary Kildall of Digital Research.(then IBM PC copied the IDEA, in spades and the amazing PC JR, extension rules for BIOS)
add, the OS takes over, no matter what OS.
Do learn one thing, the HDD can have a perfect, Identifier message and the disk is dead.  (only extensive read/write tests on all cylinders can test a drive fully with complex patterns of DATA)
If the BIOS drive tests fails,  the drive is dead.  (simple test, this is and does not prove drive is good, only proves dead, if it fails there)
I have run experiments on many good and dead drives to learn what it can and can not do.

Always run this first, if system boots.Crystal Disk Info.

version 1.  1-1-2017