Round[ {{1/2,1/2,1/2,1/2,1/2,1/2,1/2,0},{1/2,0,0,0,0,0,0,0},{0,1/2,0,0,0,0,0,0},{0,0,1/2,0,0,0,0,0},{0,0,0,1/2,0,0,0,0},{0,0,0,0,1/2,0,0,0},{0,0,0,0,0,1/2,0,0},{0,0,0,0,0,0,1/2,1}}^150, 0.00001]