What will the expression 'not(t or f)' evaluate to given t = True and f = False?
Understand the Problem
The question is asking for the evaluation of a logical expression involving boolean values. It requires us to apply the logical operation 'not' to the expression 't or f' where t is True and f is False.
Answer
False
Answer for screen readers
The final answer is: False.
Steps to Solve
- Evaluate the inner expression
First, we need to determine the value of the expression inside the 'not' operation: $t \text{ or } f$.
Since $t$ is True and $f$ is False, the expression evaluates to True, because the logical 'or' operation returns True if at least one of the operands is True.
$$ t \text{ or } f = \text{True} $$
- Apply the 'not' operation
Now apply the 'not' operation to the result of the previous step. The 'not' operation inverts the value.
$$ \text{not (True)} = \text{False} $$
The final answer is: False.
More Information
In Boolean logic, the 'or' operation combines two values and returns True if at least one of them is True. The 'not' operation simply inverts the value of the expression it is applied to.
Tips
- Confusing 'and' and 'or': Make sure to apply the correct logical operation as it can affect the outcome. Here, since 'or' was used, always remember that it requires only one operand to be True to yield True.
- Forgetting the order: Ensure you evaluate expressions from the innermost part outwards, especially when nesting logical operations.
AI-generated content may contain errors. Please verify critical information
