---
categories:
  - Mathematics
tags: [logic]
---

# Boolean functions

An example of a Boolean function:

$$
f(x,y,z) = (x \land y) \lor (\lnot(x) \land z )
$$

Here is a work through where $f(1, 0, 1)$:

// Insert diagram

We can compute all possible outputs of the function by constructing a truth-table with each possible variable value as the