Question

For the following table, use Boolean algebra to select the correct truth value result.(4 points)true falsefalse or false true AND false true OR false true AND true

Answer 1

To evaluate the truth values using Boolean algebra, we need to analyze each expression one by one:

1. **false or false**:
- The OR operation returns true if at least one of the operands is true. Here, both are false, so:
- **Result: false**

2. **true AND false**:
- The AND operation returns true only if both operands are true. Here, one operand is true and the other is false, so:
- **Result: false**

3. **true OR false**:
- The OR operation returns true if at least one operand is true. Here, one operand is true and the other is false, so:
- **Result: true**

4. **true AND true**:
- Again, the AND operation returns true only if both operands are true. Here, both operands are true, so:
- **Result: true**

Now, let's summarize the results:

1. false or false → false
2. true AND false → false
3. true OR false → true
4. true AND true → true

So the final results for each expression are:
- false
- false
- true
- true