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

1 answer

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