In this paper the effect of back off factor on exponential algorithm is analyzed and binary exponential algorithm is implemented in Mat lab. Binary Exponential Algorithm is widely used as a network congestion avoidance or collision resolution protocol. The detailed analysis of saturation throughput is done in this work. This work also covers packet's medium access delay for a given number of node N. Binary exponential is a special case of exponential back off when r =2, where r is a back off factor and we basically analyse the effect of back off factor r =1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.0 on exponential back off algorithm. All the result is obtained through mat lab (Matrix Laboratory) simulation language.