Efficient Conversion Technique from Redundant Binary to NonRedundant Binary Representation

Abstract

Redundant Binary (RB) to Two’s Complement (TC) converter offers nonredundant representation. However, the sign bit of TC representation has to be handled using nonstandard hardware blocks. The concept of Inverted encoding of negative weighted bits (IEN) eliminates the need of sign extension and offers design only using predefined hardware blocks. NonRedundant Binary (NRB) representation refers to both conventional and IEN representations. The NRB representation is also useful considering problem related to shifting in Carry Save (CS) representation of a RB number. In this paper, we have proposed two new conversion circuits for RB to NRB representation. The proposed circuits of the RB to NRB converter are coded in Verilog Hardware Description language (HDL) and synthesized using the Encounter(R) RTL Compiler RC13.10 v13.10-s006_1 of Cadence tool considering ASIC platform. Considering 64 bits’ operand, the delay power product performances of proposed one-bit and two-bit computations offer improvement of almost 29.9% and 47%, respectively as compared to Carry-Look-Ahead (CLA). The proposed one-bit converter is also applied in the final stage of the Modified Redundant Binary Adder (MRBA). The 32-bit MRBA offers a delay improvement of 7.87% replacing conventional converter with proposed one-bit converter in same FPGA 4vfx12sf363-12 device.

A modular technique of Booth encoding and Vedic multiplier for low-area and high-speed applications

“…The distinctions between the Vedic multiplier and the Booth multiplier have been examined in several survey articles. However, in this paper, a novel efficient architecture for quick multiplication computation is developed by combining the Booth encoding and Vedic multiplier techniques due to the advantages of parallel processing at the PPR stage and by taking into account the key advantages of all the sutras 33,[37][38][39][40][41][42] . Removal of noise in digital images is done through the filter 43 .…”