This paper discusses the operations of digital logic circuits using Field Programmable Gate Arrays (FPGAs), focusing on the implementation of combinational and sequential circuits via VHDL programming and Quartus II software. It highlights the methodology for designing the circuits, testing their operations on FPGA development kits, and provides detailed results for various logic operations, including the use of 7-segment displays and timing diagrams. The work serves as a beginner's guide to understanding FPGA-based digital logic circuit design and implementation.