It depends on how the BIOS chip stores the password.
If the BIOS chip stores the password in battery-backed RAM then removing the battery will clear the RAM which will restore the BIOS defaults. For most chips the BIOS default is to not require a password.
If the BIOS chip stores the password in an external Non-Volatile Memory chip (usually EEPROM) the it is usually possible to remove the NVM chip and read the password directly from the chip. Another option is to clear the NVM chip to restore the BIOS defaults.
If the BIOS chip stores the password in on-chip ROM then the password is the same for all chips and it is usually possible to Google the password. Likewise, many BIOS chips have a backup password in ROM which can be found using Google.
There may be BIOS chip which store the password in on-chip non-volatile memory (most likely One Time Programmable ROM). If such chips exist (I'm not aware of any) then the best bet would be to try and brute force the BIOS password using something like this. Of course, if someone went to the trouble (and expense) of using on-chip NVM to store passwords they might also limit the number of password attempts in a given period of time.
Things get more complicated if the BIOS password is protected by a TPM (Trusted Platform Module). For that see Tamper-proof BIOS password & settings storage with Trusted Platform Module?.