http://logic.ly/demo/
It seems to be a logic gate simulator. Although not an electrical engineer by trade, I succeeded in doing a 4 bit adder (no round-robin carry) using only three types of gates (AND, XOR, and OR). This must be the most inefficient implementation of a calculator in the world. But just so that this effort does not go to waste (and prove to myself I could do it), maybe there are people who are interested in this inefficient calculator.
The top left 4 switches are the first number. The bottom left 4 switches are the second number. Top to bottom is the order of the number from lowest bit to highest bit. The right half has the final answer (it displays a hex number based on the 4 bit input and the possible values are: 0123456789ABCDEF). In the example in the picture, 5 (top) + 3 (bottom) = 8.
