The problem describes a logic circuit with inputs $x$ and $y$. The circuit consists of a NOT gate applied to $x$, and the output of the NOT gate and $y$ are inputs to an OR gate, producing the output $F$. We are given a truth table with values of $x$ and $y$ and must determine the corresponding values of $F$.

1. Problem Description

The problem describes a logic circuit with inputs $x$ and $y$. The circuit consists of a NOT gate applied to $x$, and the output of the NOT gate and $y$ are inputs to an OR gate, producing the output $F$. We are given a truth table with values of $x$ and $y$ and must determine the corresponding values of $F$.

2. Solution Steps

First, analyze the logic circuit. The NOT gate inverts the input $x$. The OR gate outputs a 1 if either of its inputs is 1, and 0 if both inputs are

0. Let $x'$ denote the output of the NOT gate, which is the inverse of $x$. Therefore:

$x' = \neg x$

The final output $F$ is given by:

$F = x' \lor y = (\neg x) \lor y$

We will apply this formula for each combination of $x$ and $y$.

Case 1: $x = 0$, $y = 0$.

$x' = \neg 0 = 1$.

$F = 1 \lor 0 = 1$.

Case 2: $x = 0$, $y = 1$.

$x' = \neg 0 = 1$.

$F = 1 \lor 1 = 1$.

Case 3: $x = 1$, $y = 0$.

$x' = \neg 1 = 0$.

$F = 0 \lor 0 = 0$.

Case 4: $x = 1$, $y = 1$.

$x' = \neg 1 = 0$.

$F = 0 \lor 1 = 1$.

The correct order of the truth table values for $F$ is $1, 1, 0, 1$.

3. Final Answer

(2) 1,1,0,1