To evaluate the truth values using Boolean algebra, we need to analyze each expression one by one:
-
false or false:
- The OR operation returns true if at least one of the operands is true. Here, both are false, so:
- Result: false
-
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
-
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
-
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:
- false or false → false
- true AND false → false
- true OR false → true
- true AND true → true
So the final results for each expression are:
- false
- false
- true
- true