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

1 answer

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