New generation carry look twice-ahead adder CL2A and carry look thrice-ahead adder CL3A

Proposed innovation gives a faster, lower depth, lower power and lower area solution for addition. The paper describes two novel static gates developed for 4-bit Majority Carry Generate (MCG) and Majority Carry Propagate (MCP) operation in a single gate depth. Derivation of a novel 72-bit CL2A within 6 gate-depth, using MCG, MCP and a novel sparse5 (5×2ⁿ) algorithm with a variable sparse is described. Implementation of a novel 64-bit CL3A within 5 gate-depth, by extending CL2A with progressive sparse 1+3⁰ + 3¹ + 3² +...3ⁿ algorithm is described. Silicon evaluation of an 8-bit application for the CL2A is presented in 32nm. Post-layout results of 64-bit CL2A and 64-bit CL3A against Ling-Carry-select adder are presented in 14nm along with the advantages and limitations.