freeCodeCamp/guide/english/logic/satisfiability/index.md

---
title: Satisfiability
---
## Satisfiability

Satisfiability refers to the existence of a combination of values to make the expression true. So in short, a proposition is satisfiable if there is at least one true result in its truth table, valid if all values it returns in the truth table are true.

A formula P is considered satisfiable if it is sometimes true for some assignment of true/false to the variables.

Example:
  - x ^ y : is Satisfiable with x = T, y = T
  - x v y : is Satisfiable with x = T, y = F or x = F, y = T
  
If there are no assignments, then it is considered Unsatisfiable.


#### More Information:

[Satisfiability explained - YouTube](https://www.youtube.com/watch?v=yo7aULLUz_0)