Answer Description
A full format will delete all data on a disk, scan the disk for bad sectors, and then install the operating system. The Quick format will delete data, install the operating system, but not scan the disk for bad sectors.
Wikipedia
Disk formatting is the process of preparing a data storage device such as a hard disk drive, solid-state drive, floppy disk or USB flash drive for initial use In some cases, the formatting operation may also create one or more new file systems The first part of the formatting process that performs basic medium preparation is often referred to as "low-level formatting" Partitioning is the common term for the second part of the process, making the data storage device visible to an operating system The third part of the process, usually termed "high-level formatting" most often refers to the process of generating a new file system
Disk_formatting - Wikipedia, the free encyclopedia