you can use the imageJ plugin "point_cloud.jar" which can be downloaed from the link below. Even though it is for CT-scans, it will work with only one-stack image
It seems to be binary images, if it is so, apply connected component algorithm. But first of all, please clarify that what you want to do with these images? Whether you want to extract a portion or doing some processing in internal part of white pixels?
Like Ruxandra said, you don't have that information. It is not present in a bmp, tiff or jpg.
You can use pixel-indices as coordinates, but you could also scale it if you want. If so, rotate the image so that the cow stands on four legs, and measure the distance from head to tail in number of pixels. If you know how big the cow is, you can derive a pixel-size. Choose an arbitrary origin and arbitrary direction of +X and +Y, and you are done!
By convention pixel-indices start at the upper-left corner, and start with zero. For the first 1 in your example, the pixel-index would be 4 + 2 * DimX , or -expressed as (x,y)-, (4, 2) . All in arbitrary units, because the picture is not calibrated.
I think what Sumi has suggested should work for you. Basically identify the size of the image using 'size' command and then scan the matrix one pixel at a time by incrementing row and/or column index. Wherever you find pixel value = 1, the respective index is what you want.