Truth Tables & Boolean
📋 What it is
A truth table lists every true/false combination of the parts to show exactly when a whole statement is true.
🗣️ Coach says
Boolean logic has just two values — true or false. A truth table is a cheat-sheet: list every combination of the pieces and mark when the whole thing is true. “A AND B” is true only when both are; “A OR B” is true when at least one is.
🧠 Memory hook
AND needs both. OR needs at least one. NOT flips it.
😂 Giggle
Why did the straw man get a job at the farm?
Because he was great at standing in for arguments that nobody actually made!
😲 Whoa!
Every computer chip is millions of tiny AND/OR/NOT gates — the same Boolean logic you’re learning is literally how your phone thinks.
✅ Quick check: “It’s raining AND I have an umbrella.” If it’s raining but I have NO umbrella, is the whole statement true?
Say your answer out loud first — then reveal.
False — AND requires BOTH parts to be true; one false part makes the whole thing false.
A conjunction (AND) is true only when every part is true.
🪄 Trick question: Is “A OR B” false when A is true and B is false?
Careful — think it through, then reveal.
No — OR needs only ONE true part, and A is true, so the whole statement is true.
A disjunction (OR) is true if at least one part is true.
🧪 Try it! (2 minutes)
Make a 2-row table for “sunny OR warm”: try (sunny, not warm) and (not sunny, not warm). Mark true/false.