Design of Efficient 1's Complement Modified Booth Multiplier

The 2's complement representation is widely adopted, since compared to the other signed number systems has the advantage of simpler addition and single representation of zero. Sing-magnitude representation is used in digital signal processors for the representation of digital signals for low-power purposes. The 1's complement representation compared to the 2's complement one has the advantages of the simpler conversion to and from the sign-magnitude representation, simpler negation and that truncation of negative numbers is equivalent to that of the sign-magnitude representation. Therefore, the design of efficient arithmetic units for this system should be examined. In this work 1's complement modified Booth multipliers with complexity similar to that of the 2's complement ones are proposed.