Logarithmic number system

A logarithmic number system (LNS) is an arithmetic system used for representing real numbers in computer and digital hardware, especially for digital signal processing. == Overview == A number, X {\displaystyle X} , is represented in an LNS by two components: the logarithm ( x {\displaystyle x} ) of its absolute value (as a binary word usually in two's complement), and its sign bit ( s {\displaystyle s} ): X → { x = log b ⁡ | X | , s = { 0 if X > 0 , 1 if X < 0.

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