Sifting through binary data on Linux?

Question

I have a directory in which I want to look for any copy of the number "512245" There are several files of multiple types, so I can't search them directly

What's the easiest way to analyze the binary of all these files looking for this number? That'd be "1111101000011110101"

Answer 1

you can pipe the output of hexdump to grep

Answer 2

od and grep could do the job.