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    Conjunction (AND)

    Rumman Ansari April 12, 2026 274 views

    🤝 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.

    đŸ”ĸ 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.