Question
For the following table, use Boolean algebra to select the correct truth value result.(4 points)
true false
true AND false
true AND true
true OR false
false or false
true false
true AND false
true AND true
true OR false
false or false
Answers
GPT-4o mini
Let's evaluate the given expressions using Boolean algebra:
1. **true AND false**
- A AND B is true only if both A and B are true.
- Result: **false**
2. **true AND true**
- A AND B is true only if both A and B are true.
- Result: **true**
3. **true OR false**
- A OR B is true if at least one of A or B is true.
- Result: **true**
4. **false OR false**
- A OR B is true if at least one of A or B is true.
- Result: **false**
Now, summarizing the results:
- **true AND false**: **false**
- **true AND true**: **true**
- **true OR false**: **true**
- **false OR false**: **false**
So, the truth value results are:
- false
- true
- true
- false
1. **true AND false**
- A AND B is true only if both A and B are true.
- Result: **false**
2. **true AND true**
- A AND B is true only if both A and B are true.
- Result: **true**
3. **true OR false**
- A OR B is true if at least one of A or B is true.
- Result: **true**
4. **false OR false**
- A OR B is true if at least one of A or B is true.
- Result: **false**
Now, summarizing the results:
- **true AND false**: **false**
- **true AND true**: **true**
- **true OR false**: **true**
- **false OR false**: **false**
So, the truth value results are:
- false
- true
- true
- false