Abstract: A computing device for floating-point mathematic operation using look-up table is provided. The computing device includes: a bit arrangement unit used for receiving a floating-point input data and performing a bit arrangement or a format conversion on the floating-point input data to generate multiple index blocks; a first look-up table unit group used for receiving the index blocks and performing look-up operation using the index blocks as index to generate a plurality of look-up table results; and an operation unit used for performing operation on the look-up table results of the first look-up table unit group to generate an operation output.

Abstract: A data backup method and a data recovery method are provided. The data backup method includes: updating a main information table and a sub information table and generating physical unit information according to an erase count and a physical unit status of a physical unit; writing the physical unit information into the physical unit before writing data into the empty physical unit; writing the main information table and the sub information table into a rewritable non-volatile memory module according to corresponding conditions. The data recovery method includes: writing a latest main information table stored in a rewritable non-volatile memory module into a memory; updating the main information table in the memory according to a sub information table which is newer than the main information table; and updating the main information table in the memory according to physical unit information which is newer than the sub information table.

Abstract: A data backup method is provided. The data backup method includes maintaining a logical-to-physical table (L2P table) in a memory, where the L2P table records a plurality of physical addresses respectively corresponding to a plurality of first logical addresses and a plurality of trim marks; receiving a trim command, wherein the trim command indicates that data stored in one or more second logical addresses is invalid; according to the trim command, not clearing physical addresses respectively corresponding to the second logical addresses in the L2P table, and changing trim marks respectively corresponding to the second logical addresses from a first bit value to a second bit value; and when a predetermined condition is met, updating the L2P table according to the trim marks, and storing the updated L2P table into a rewritable non-volatile memory module.

Abstract: A data backup method is provided. The data backup method includes maintaining a logical-to-physical table (L2P table) in a memory, where the L2P table records a plurality of physical addresses respectively corresponding to a plurality of first logical addresses and a plurality of trim marks; receiving a trim command, wherein the trim command indicates that data stored in one or more second logical addresses is invalid; according to the trim command, not clearing physical addresses respectively corresponding to the second logical addresses in the L2P table, and changing trim marks respectively corresponding to the second logical addresses from a first bit value to a second bit value; and when a predetermined condition is met, updating the L2P table according to the trim marks, and storing the updated L2P table into a rewritable non-volatile memory module.

Abstract: A data backup method and a data recovery method are provided. The data backup method includes: updating a main information table and a sub information table and generating physical unit information according to an erase count and a physical unit status of a physical unit; writing the physical unit information into the physical unit before writing data into the empty physical unit; writing the main information table and the sub information table into a rewritable non-volatile memory module according to corresponding conditions. The data recovery method includes: writing a latest main information table stored in a rewritable non-volatile memory module into a memory; updating the main information table in the memory according to a sub information table which is newer than the main information table; and updating the main information table in the memory according to physical unit information which is newer than the sub information table.