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Logarithmic Number System

LI Wei, SHEN Xu-bang(Xi'an Microelectronics Technology Institute, Xi'an 710054 China)  
Logarithmic number system (LNS) can simplify some operations, so it can improve the efficiencies of the operations and reduce the power dissipation of the system. This paper analyses LNS in some aspects, including the representation of a number in LNS, the range and accuracy of representation and arithmetic operations in LNS. Besides these, we also discuss the conversion between LNS and the conventional representations. Then we give some suggestions which can reduce the size of the look-up table used in addition and subtraction. Finally we show the low power properties of LNS.
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