What is Low level and High level format? are they the alternate of Full and Quick Format?

Answer 1

No, a Full and Quick format are both a normal or high level format. A low level format should really not ever be used by anyone other than a computer professional.
A low level format writes over information specific to the drive that is written as part of the manufacturing of the disk - Low-level formatting is the process of outlining the positions of the tracks and sectors on the hard disk, and writing the control structures that define where the tracks and sectors are.
A high level format, which is used in 99.9999% of the formats someone other than a disk manufacturer does is the one that rewites only the system files.

Hope that helps!

Answer 2

Low Level Format: This is the first step in preparing a drive to store information after physical installation is complete. The process familiarizes the drive with the controller.

and

High-level formatting: Disc formatting performed by the operating system's format program (for example, the DOS FORMAT program). Among other things, the formatting program creates the root directory, file allocation tables, and other basic configurations.