For the following table, use Boolean algebra to select the correct truth value result.(4 points)

true false
false or false

true AND true

true OR false

true AND false

1 answer

Let's evaluate each expression using Boolean algebra:

  1. false OR false:

    • In Boolean logic, the OR operation results in true if at least one of the operands is true. Since both are false, the result is false.
  2. true AND true:

    • The AND operation results in true only if both operands are true. In this case, both are true, so the result is true.
  3. true OR false:

    • Again, since at least one operand (true) is true, the result is true.
  4. true AND false:

    • Since one of the operands (false) is false, the AND operation results in false.

Now, summarizing the results:

  • false OR false = false
  • true AND true = true
  • true OR false = true
  • true AND false = false

If you need a final value based on a combination of these results, please specify how you would like to combine them.