Truth Table for NOT

1) Understand the NOT operation

The NOT operator reverses a truth value. If the input is true, the output is false. If the input is false, the output is true. In symbols, you may see NOT written as ¬P, ~P, or NOT P.

2) Fill the table row by row

For each exercise, look at the given input value and write the opposite value in the output column.

• If the input is T, write F.
• If the input is F, write T.

If the table includes a compound statement like NOT P, treat the whole statement as the negation of the original proposition.

3) Simplify the final answer

After completing the table, check whether the output can be written in a simpler logical form. For a single NOT operation, the result is usually already simplified once you have the opposite truth value.

4) Check your work

A quick check is to apply NOT twice: the original truth value should come back. So NOT (NOT P) has the same truth value as P. If your completed table does not match that idea, review the row you filled in.