A method for manufacturing a semiconductor device includes forming semiconductor devices from a semiconductor wafer and identifying a position of the semiconductor device in the semiconductor wafer, wherein the forming the semiconductor devices includes forming a first repeating pattern including i semiconductor devices each having a unique pattern, forming a second repeating pattern including j semiconductor devices each having a unique pattern, defining semiconductor devices on the semiconductor wafer such that each of the k semiconductor devices has a unique pattern based on the first and second repeating patterns, and grinding a backside of the semiconductor wafer, wherein each unique pattern of the k semiconductor devices is composed of a combination of the unique patterns of the first and second repeating patterns, wherein the position of the semiconductor device is identified based on the unique patterns of the first and second repeating patterns and an angle of a grinding mark.