A method using directed self-assembly of BCPs enables the making of a master disk for nanoimprinting magnetic recording disks that have patterned data islands and patterned binary encoded nondata marks. The method uses guided self-assembly of a BCP to form patterns of sets of radial lines and circumferential gaps of one of the BCP components, which can be used as an etch mask to make the master disk. The sets of radial lines and circumferential gaps can be patterned so as to encode binary numbers. The pattern is replicated as binary encoded nondata marks into the nanoimprinted disks, with the marks functioning as binary numbers for data sector numbers and/or servo sector numbers. If the disks also use a chevron servo pattern, the binary numbers can function to identify groups of tracks associated with the chevron servo pattern.