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The AND Gate will emit a 1 signal if both inputs are truthy. You can construct a NAND gate by attaching a NOT gate to its output.
The OR Gate will emit a 1 signal if either of the inputs are truthy. You can construct a NOR gate by attaching a NOT gate to its output.
The NOT Gate will emit a 1 signal if the input is NOT truthy (0 or nil). It will emit a 0 if the input is truthy (shape, color, or boolean)
The XOR Gate will emit a 1 signal if only one input is truthy. You can make an XNOR gate by attaching a NOT gate to its output.