Truth Table for OR

Truth table for OR

The OR operation is true when at least one input is true. For two inputs, write all possible combinations of the variables, then decide the OR value for each row.

1) List the input cases

For two statements, the rows are usually:

• T, T
• T, F
• F, T
• F, F

2) Apply OR row by row

Use this rule:

• T OR T = T
• T OR F = T
• F OR T = T
• F OR F = F

So the only time OR is false is when both inputs are false.

3) Fill in the final answer

If the exercise asks you to simplify the result, compare the completed table with the statement or expression you are checking. The simplified answer should match the truth pattern you found.

4) Check your work

A quick check is to make sure your OR column has:

• true in every row except the all-false row
• exactly one false value when there are two inputs

If your table shows any other pattern, review the row where both inputs are false first.