1. **State the problem:** We need to find the sum of 1 and 1. 2. **Formula used:** Addition of two numbers is given by $a + b$ where $a$ and $b$ are numbers. 3. **Apply the formula:** Here, $a = 1$ and $b = 1$, so we calculate: $$1 + 1$$ 4. **Simplify:** Adding the two numbers gives: $$2$$ 5. **Conclusion:** The sum of 1 and 1 is 2.