Addition is a fundamental computer arithmetic operation that is widely performed in microprocessors, digital signal processors, and application-specific processors. The design of a high-speed and energy-efficient adder is thus useful and important for practical applications. In this context, this paper presents the designs of novel asynchronous carry look-ahead adders (CLAs) viz. a standard CLA (SCLA) and a block CLA (BCLA). The proposed CLAs are monotonic, dual-rail encoded, and are realized according to return-to-zero handshake (RZH) and return-to-one handshake (ROH) protocols using a 28-nm CMOS process technology. The proposed BCLA has a slight edge over the proposed SCLA, and the proposed BCLA reports the following optimizations in design metrics such as cycle time (delay), area, and power compared to a recently presented state-of-the-art asynchronous CLA for a 32-bit addition: (i) 32.6% reduction in cycle time, 29% reduction in area, 4.3% reduction in power, and 35.5% reduction in energy for RZH, and (ii) 31.4% reduction in cycle time, 28.9% reduction in area, 4.4% reduction in power, and 34.4% reduction in energy for ROH. Also, the proposed BCLA reports reductions in cycle time and power/energy compared to many other asynchronous adders.