Not directly without doing some calculation.
If the image is static and the dimensions known, then you could say the y position maps to a "row" by being a multiple of the width. Then add the x value to that multiple.
Meaning that if the goal is to tell when the robot reaches the target, it's easy just to test the 5396th pixel value (or wherever you have calculated the target to be in the binary data).
It is not possible to simplify the test like this if the goal is to check where in the room the robot is as it travels.
Keeping the resolution very (very very) low would make the checks easier.