Logic
Truth tables reference sheet
Print truth tables for NOT, AND, OR, conditional, biconditional and exclusive OR. Compare their truth conditions in individual tables and a combined reference.
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Complete truth tables worksheets
Generate four truth tables with AND, OR, conditional, biconditional or exclusive OR. Choose negated atoms and fill either every cell or only the result column.
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Fill the blank cells. Use the separate key to check the inputs, intermediate negations and final result.
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Result-only mode supplies the input and intermediate values. Entire-table mode leaves the body blank so the learner also practices listing the input cases.
Choose zero, one or two negated atoms. One means either p or q is negated; two means each is negated once. Four questions cannot show every combination when many settings are selected.
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Learning objective
What this activity builds
Evaluate a compound proposition systematically across all four assignments of two variables.
Worked example
Complete ¬p AND q in the row p = F, q = T.
¬p = T, so the result is T.
First negate p. Then apply AND to the two resulting true values. Negating p does not change q.
Teaching notes
Make the practice count
- Begin with one operator and result-only blanks.
- Use the input order TT, TF, FT, FF to avoid omitting a case.
- Add one negated atom before practicing two.
- Check intermediate columns before correcting the final column.
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A useful next step
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Draw truth tables worksheets
Build four truth tables from their expressions, with open space to plan columns and rows. Select operators and negations, then compare your construction with the complete answer tables.
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Logic truth table review worksheets
Translate four verbal statements into expressions and complete one combined truth table. Choose an operator and practice every combination of negated and unnegated atoms.
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