Memorizing Binaries
This is one way that you can memorize binary states  not just binary number, since you can encode the binary states as binary numbers.
 Encode as bits (e.g. white=0, black=1)

Arrange the bits into 3x3 grids  3 bits per row, 3 rows per grid
\[ 000\\ 110\\ 101\\ \]

Convert each row to decimal numbers.
\[ 000 = 0\\ 110 = 6\\ 101 = 5\\ \]
 Convert the decimal to a wordimage using a system. In the case of the Major System you might get 065 = sgl = seagull.
 Repeat until you have all the bits covered
 Put the images into a Memory Palace, two images per location.