An adaptive feedback bit allocation scheme based on inter-cell interference nulling (ICIN) was proposed to minimize the rate loss due to limited feedback, and bit resource was efficiently utilized. Furthermore, the scaling law of the total number of bits per user to maintain a constant rate loss was investigated. Simulation results showed that the proposed feedback bits allocation strategy provides significant gain compared to equal bits allocation. Besides, the strategy kepts the same multiplexing with the case of perfect CSI at a lower rate loss.