Conjunction (AND)
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🤝 Conjunction (AND)
In logic, Conjunction means AND.
It’s written as:
👉 p ∧ q
(or sometimes p . q or p & q)
Read as: "p AND q"
🧠 What does it mean?
A statement with AND is true only when both parts are true.
Think of it like this:
“You can go out to play if you finish your homework AND clean your room.”
-
If you do both — ✅ Yes, you can go!
-
If you miss even one — ❌ Nope, you can’t.
🔢 Truth Table for p ∧ q (Using 0 and 1)
| p | q | p ∧ q |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
📌 Summary:
| What happens | Result |
|---|---|
| Both are 1 (true) | ✅ 1 |
| One or both are 0 | ❌ 0 |
🎉 Example:
-
p = You finish your homework
-
q = You clean your room
-
p ∧ q = You can go play
If both are 1 (true) → You go play.
If either one is 0 (false) → You can’t go.