This Paper presents an in-depth analysis of Gate Diffusion Input (GDI) and Complementary Metal-Oxide-Semiconductor (CMOS) logic types in the context of designing a 4-bit Hamming code encoder and decoder. The Project focuses on simulations conducted using Gpdk 250 nm technology to evaluate power consumption, latency, and transistor count. The results demonstrate that GDI logic offers significant advantages over CMOS logic, including nearly 50% power savings, reduced latency, and fewer transistors. These findings highlight the potential of GDI logic as a superior low power design choice for VLSI circuit designers.