The NOR (= "not or") logic gate takes two bits as an input. Its output follows the rule: "if both bits are $0$, output $1$; otherwise, output $0$." You can implement it in your code as follows: given the Boolean variables $x$ and $y$, the symbol: $!(x || y)$ or $(x + y)'$ means "$x$ nor $y$". Below is the NOR gate diagram and truth table.
Bonus question: How can we build a NOR gate if we know how to build NOT, AND, OR, XOR, and NAND gates?
NOR Gate diagram. Miriam Briskman, CC BY-NC 4.0.
| Input | Output | |
|---|---|---|
| $x$ | $y$ | $(x + y)'$ |
| $0$ | $0$ | $1$ |
| $0$ | $1$ | $0$ |
| $1$ | $0$ | $0$ |
| $1$ | $1$ | $0$ |