The digital signal processing plays a vital role in communication applications. In digital signal processing, ALU is an important functional unit. The main objectives of VLSI architecture design are the speed and power. Here, the authors are going to design low power, high speed ALU by using Vedic mathematics technique. This paper describes the design of more efficient high speed 4 x 4 bit arithmetic logic unit based on Vedic multiplication technique. It can perform arithmetic and logical operations.