The document describes the design and simulation of half adders, full adders, multiplexers, and demultiplexers using VHDL. It includes block diagrams, truth tables, and VHDL code for implementing these circuits using dataflow, behavioral, and structural modeling in Xilinx ISE. Code examples and output waveforms are provided for half adders, full adders, 4-to-1 multiplexers, and 1-to-4 demultiplexers. The aim is to learn how to design and simulate basic digital circuits using different VHDL modeling approaches.