Embedded systems spread out daily activities, both wireless sensors and mobile equipments that collect and process data for multiple purposes. Although data security on computers and servers appears to be well controlled, securing them for embedded systems with limited resources (e.g. memory, computational power, etc.) is a dare. In this paper, we investigated on the asymmetric cryptographic algorithms in embedded systems. We evaluated the performance of asymmetric cryptography algorithms through Elliptic Curve Cryptography (ECC) versus the RSA algorithm. Specifically, we investigated on some cryptosystems by using ECC protocols such as Elliptic Curve Integrated Encryption Scheme (ECIES), Elliptic Curve Digital Signature Algorithm (ECDSA), Elliptic Curve Nyberg-Rueppel (ECNR) and RSA. We then performed many tests that shown ECC algorithms are more advantageous in terms of computing speed and memory consumption over the RSA algorithm. We ended that ECCbased cryptosystems offer an attractive alternative to the classical asymmetric cryptography like RSA, as it uses a short key size to achieve an equivalent level of security. This makes it an attractive and efficient alternative for deployment in embedded systems. Keywords—Asymmetric cryptography algorithms, Elliptic curve cryptography, RSA algorithm, Embedded Systems, encryption scheme, digital signature