Approximate arithmetic computing circuits and architectures have been proven to be energy efficient designs for Deep Neural Networks (DNNs) which are error resilient. In this paper, an approximate 8-bit Wallace Multiplier has been proposed and designed in 90nm CMOS technology for energy efficiency. The proposed 8-bit approximate multiplier design consumes ~32% less energy in comparison to an accurate 8-bit Wallace Tree multiplier with less than 20% Mean Relative Error (MRE).