What the AND table means
The AND operation gives a true result only when both inputs are true. In a truth table, you list every possible combination of the input values and then determine the output for each row.
How to complete the table
- List the input pairs: for two inputs, the rows are usually
T,T, T,F, F,T, and F,F.
- Apply AND to each row:
T AND T = T
T AND F = F
F AND T = F
F AND F = F
- Fill in the output column carefully, one row at a time.
- If the exercise asks for a final simplified answer, use the truth table result to state the output clearly, without extra steps.
How to check your work
- The output should be true in only one row: when both inputs are true.
- If more than one row is true, recheck the AND rule.
- Make sure each row matches the input order exactly, since swapping rows can make the table look wrong even if the values are correct.
Quick memory tip
Think of AND as a “both must happen” rule: one false input is enough to make the whole result false.