The image shows a Boolean logic problem asking to complete a truth table for the Boolean function $F = yz + z(xy)'$, where $x$, $y$, and $z$ are the input variables. The inputs $x$, $y$, and $z$ are listed in the table, and the truth table needs to be filled with the corresponding output values of $F$.

Let’s evaluate the expression for each combination of $x$, $y$, and $z$:

Expression:

• $F = yz + z(xy)'$
• $(xy)'$ is the negation of $xy$, meaning it will be true when $xy$ is false.

I will now calculate the output $F$ for each row in the truth table.

Truth Table:

• Row 1: $x = 0$, $y = 0$, $z = 0$
• Row 2: $x = 0$, $y = 0$, $z = 1$
• Row 3: $x = 0$, $y = 1$, $z = 0$
• Row 4: $x = 0$, $y = 1$, $z = 1$
• Row 5: $x = 1$, $y = 0$, $z = 0$
• Row 6: $x = 1$, $y = 0$, $z = 1$
• Row 7: $x = 1$, $y = 1$, $z = 0$
• Row 8: $x = 1$, $y = 1$, $z = 1$

Let me calculate the values for $F$.It seems like I can’t do more advanced data analysis right now. Please try again later. Let me know if you want me to help with any other steps!