A Power-Delay Efficient Hybrid Carry-Lookahead/Carry-Select Based Redundant Binary to Two´s Complement Converter

This paper presents an efficient reverse converter for transforming the redundant binary (RB) representation into two´s complement form. The hierarchical expansion of the carry equation for the reverse conversion algorithm creates a regular multilevel structure, from which a high-speed hybrid carry-lookahead/carry-select (CLA/CSL) architecture is proposed to fully exploit the redundancy of RB encoding for VLSI efficient implementation. The optimally designed CSL sections interleaved evenly in the mixed-radix CLA network to boost the performance of the reverse converter well above those designed based on a homogeneous type of carry propagation adder. The logical effort characterization captures the effect of circuit´s fan-in, fan-out and transistor sizing on performance, and the evaluation shows that our proposed architecture leads to the fastest design. A 64-bit transistor-level circuit implementation of our proposed reverse converter and that of its most competitive contender were simulated to validate the logical effort delay model. The pre- and post-layout HSPICE simulation results reveal that our new converter expends at least two times less energy (power-delay product) than the competitor circuit and is capable of completing a 64-bit conversion in 829 ps and dissipates merely 5.84 mW at a data rate of 1 GHz and a supply voltage of 1.8 V in TSMC 0.18-mum CMOS technology.