The binary-exponential sleep mode (BE-SM) operation is an energy saving technique for mobile stations (MSs) in IEEE 802.16e/m system (WiMAX cellular network). Until now, it has been mainly studied under a delay requirement from a network perspective. In terms of human's subjective quality, the remaining battery energy directly affects quality-of-experience (QoE# for energy-sensitive MSs although the same delay is experienced. However, the existing QoE model only considers quality-of-service #QoS) factors such as delay and loss. In this letter, we present a remaining energy-aware QoE model by considering the remaining battery energy as well as QoS factors, and then propose a remaining energy-aware QoE based BE-SM operation to minimize the energy consumption of the MSs. Numerical results show that our proposed scheme outperforms the existing schemes.