If you can come up with a logical design, it will include OR, AND, and inverters, which allow NOR and NAND gates. I am concerned that you couldn't follow the designs you have found, since once you have grasped the principle, it is possible to adapt the given idea to another scenario.The gate types (as mentioned above) are created for you when you minimize the logic terms. To find a physical device which represents the derived logic type you need to go to data sheets for a logic family type, these days it would be CMOS of some description, and sort through the chip types to find the parts you need. This can be done quickly by typically going to the front of a data book, where the families are grouped according to function, such as AND, OR, NAND, NOR etc.The selected chips then need to be placed on solderless breadboard (there is a youtube video of such a design) and the inputs and outputs hooked up with wires. Power supplies must also be connected, normally 3.3 or 5V, depending on the logic family. Usually gates have unused inputs, these must be connected to the ground or power supply, depending on the gate and logic being used. There is a lot of information on using logic families and logic gates on the web. The Art of electronics has a section on using logic, as well, for example, and there are simpler explanations in many other books.Cheers,Richard