Abstract
In this paper, as a preliminary methodology, the design of conventional Modified Booth multiplier and the design of Pre-Encoded NR4SD and NR8SD Multipliers have been discussed and then the architecture of High speed Non-Redundant radix-8 Signed-Digit (NR8SD) encoding method has proposed by using Han-Carlson adder, in which the digit values-3,-2,-1,0,+1,+2,+3,+4 or-4,-3,-2,-1,0,+1,+2,+3, are employed, resulting to a multiplier design with less difficult partial products implementation than NR4SD multiplier. The Modified Booth (MB) multiplier, which employs the digit values -2,-1, 0, +1 or-1,0,+1,+2, and where as the NR4SD multiplier saves space and allows for faster multiplication than the traditional Modified Booth Multiplier. These pre-encoded multipliers are based on off-line encoding, which allows DSP applications to generate fewer coefficients. Extensive experimental analysis verifies that the proposed pre-encoded NR8SD multipliers, including the coefficients memory, are more area and power-efficient than the conventional Modified Booth scheme. From the simulation results, it is revealed that the proposed NR8SD multiplier reduced area and delay compared to existing NR4SD and NR8SD multipliers.