Magnetic graphene-ribbon is a candidate for realizing future ultra high density 100 tera bit/inch² class data storage media. Multiple spin state analysis was done based on the density functional theory. A typical model has a super-cell [C₈₀H₇] which keeping bare (radical) carbons on one side zigzag edge, whereas mono hydrogenated carbons on another side. Optimizing atomic configuration, self-consistent calculation demonstrated that a total energy of the highest spin state is more stable than that of the lower one, which origin comes from the exchange coupling between carbons. This analysis suggested a capability of designing magnetic data track utilizing such asymmetric graphene ribbon. In order to increase areal magnetization density, bi-layer and quadric layer model were analyzed. Detailed calculation resulted that also the highest spin state is the most stable one. Increasing layer numbers is an effective way to enhance strong magnetism.