Hi Suyeon,
Deep failsafe is when, from normal mode Normal-FS, the device has a critical failure (for example several consecutive bad watchdog, RESETB asserted for longer than 8s, VPRE OV, REG Thermal shutdown, …), and the device needs to go into deep failsafe deep-FS mode, in order to shutdown everything for safety purposes, and try again to power up later on.
Normal-FS is when device operates normally and all is good, deep-FS is when everything is shutdown because of critical failure.
Best regards,
Tomas