Mutual Information and entropy calculation for a binary sequence

Lets assume that we have a binary sequence (vector Size N) consisting of 0's and 1's which are created by rand function in Matlab. I try to calculate the entropies by increasing bin sizes of the same sequence. (1 bit entropy, 2 bit entropies,..., n bit entropies)

My target is to estimate the interdependence of the individual bits. In fact the source is not random bits, they would be coded bits but it is the starting point.