A method and apparatus for verifying that a user is the owner of a public listing is provided. In one example embodiment, this is performed by connecting and powering a new server to one or more data center resources of the automated data center. The illuminating device may be manipulated into numerous positions including extended and nested positions so that the light source may be positioned inside the securing structure in the nested position and outside the securing structure in the extended position. Each of the hard carbon coatings has a hydrogen content of 10 atomic % or less. The dielectric layer of aluminum oxide or the aluminum oxide composite stack may be optionally subjected to a post-deposition treatment to further increase the capacitance and decrease the leakage current. It also contains an output for a sum bit having the significance w and two outputs for two carry bits having the significances 2w and 4w.