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The medium access control (MAC) protocol in IEEE 802.11 wireless LAN employs distributed coordination function (DCF) with binary exponential backoff (BEB) algorithm for contention resolution. With BEB, waiting time of a node gets doubled after every unsuccessful transmission. This introduces fast-growing retransmission delays for the backlog traffic. In a mobile ad hoc network (MANET), it would be worthwhile to slow down the growth-rate of waiting time. This is expected because the nodes communicating in a MANET might move out of collision range while waiting for retransmission. In this paper, we explore a modification to BEB algorithm and evaluate its performance through extensive simulations. Simulation results indicate that the proposed modification to BEB enhances packet delivery rate and reduces average end-to-end packet delay.