The truth table you've provided is for the Boolean expression $F(x, y, z) = x + yz$. Let's complete the truth table based on this expression.

Boolean Expression Breakdown:

• $F(x, y, z) = x + yz$
• $x + yz$ means that the output is true if either $x$ is true or both $y$ and $z$ are true.

We will calculate the result for each combination of $x$, $y$, and $z$.

Explanation:

• For the first four rows, $x = 1$, which directly makes $F = 1$ (since $x + yz = 1$).
• For the fifth row, $x = 0$, but $y = 1$ and $z = 1$, so $yz = 1$, making $F = 1$.
• For the sixth row, $x = 0$, $y = 1$, but $z = 0$, so $yz = 0$, making $F = 0$.
• For the last two rows, $x = 0$, and either $y = 0$ or $z = 0$, making $yz = 0$, so $F = 0$.

Do you want further clarification on any steps? Here are five follow-up questions:

1. How would you represent the Boolean expression $x + yz$ using logic gates?
2. What would the Karnaugh map look like for this Boolean function?
3. How would the result change if we modified the expression to $x \cdot yz$?
4. What is the dual of the Boolean function $x + yz$?
5. How can this truth table be simplified using Boolean algebra?

Tip: When dealing with truth tables, check each row step by step by focusing on how individual variables affect the overall output!