Unique 2x2 Squares

1 1 1 1 0
1 1 0 0 1
0 1 0 0 1
0 0 0 1 0
1 1 0 1 1
  Is it possible to fill each square of a 5x5 grid with either a 1 or a 0, such that every 2x2 square is unique?  The example has one repeated square.

Source: Original.  Found later as a color-map question in Aaron J. Friedland's book Puzzles in Math & Logic (New York, 1970) on pages 9-10 and 44.


Solution
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