Applications on physically unclonable circuits (PUFs) for implementing and utilizing security protocols with hardware is on the rise. PUFs have the capability to perform functions such as authentication, prevention of replication, and secure storage of critical information in integrated circuits and security systems. Through the implementation of physically unclonable circuits, a wide range of security features, including confidentiality, integrity, and availability, can be applied. Therefore, PUFs are promising candidate to build secure integrated circuits and hardware systems. However, in order that PUFs possess security features, PUFs should possess characteristics such as unpredictability, uniqueness, and robustness characteristics. This study provides a detailed explanation and introduction of the methods to characterize the PUF properties. By applying the results, it becomes possible to quantitatively evaluate the characteristics of implemented PUFs and assess their availabilities for security system applications.