Symbol summary:
| Logic Gate | Boolean Expression |
|---|---|
| NOT $x$ | $x'$ |
| $x$ AND $y$ | $x \cdot y$ (or: $xy$) |
| $x$ OR $y$ | $x + y$ |
| $x$ XOR $y$ | $x \oplus y$ |
| $x$ NAND $y$ | $(xy)'$ |
| $x$ NOR $y$ | $(x + y)'$ |
| $x$ XNOR $y$ | $(x \oplus y)'$ |
We can combine these expressions to create more complex logic expressions, as we saw in Topic 3.