The Elliptic Curve Digital Signature Algorithm (ECDSA) and the Advanced Encryption Standard (AES) are two of the most popular cryptographic algorithms used worldwide. In this paper, we present a hardware implementation of a low-resource cryptographic processor that provides both digital signature generation using ECDSA and encryption/decryption services using AES. The implementation of ECDSA is based on the recommended $\mathbb{F}_{p192}$ NIST elliptic curve and AES uses 128-bit keys. In order to meet the low-area requirements, we based our design on a sophisticated hardware architecture where a 16-bit datapath gets heavily reused by all algorithms and the memory is implemented as a dedicated RAM macro. The proposed processor has a total chip area of 21 502 GEs where AES needs only 2 387 GEs and SHA-1 requires 889 GEs.