The firmware analysis tool binwalk also has this as a feature through its -W/--hexdump command line option which offers options such as to only show the differing bytes:

    -W, --hexdump                Perform a hexdump / diff of a file or files
    -G, --green                  Only show lines containing bytes that are the same among all files
    -i, --red                    Only show lines containing bytes that are different among all files
    -U, --blue                   Only show lines containing bytes that are different among some files
    -w, --terse                  Diff all files, but only display a hex dump of the first file

In OP's example when doing binwalk -W file1.bin file2.bin:

The firmware analysis tool binwalk also has this as a feature through its -W/--hexdump command line option which offers options such as to only show the differing bytes:

    -W, --hexdump                Perform a hexdump / diff of a file or files
    -G, --green                  Only show lines containing bytes that are the same among all files
    -i, --red                    Only show lines containing bytes that are different among all files
    -U, --blue                   Only show lines containing bytes that are different among some files
    -w, --terse                  Diff all files, but only display a hex dump of the first file

In OP's example when doing binwalk -W file1.bin file2.bin:

Add | less -r for paging.