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👉 BCS405A Module 1 – Fundamentals of Logic | VTU Dec 2024, June 2024, Model Papers Solved
🔗    • BCS405A Module 1 – Fundamentals of Logic |...  



📘 Discrete Mathematics BCS405A | Symbolic Logic – Translating Open Statements

In this video, we solve a key problem from Module 1: Fundamentals of Logic in Discrete Mathematical Structures. We convert English-language statements into symbolic logic using given open statements defined over the universe of integers.

🔍 Given Open Statements:
Let the universe be the set of all integers.
Define:

P(x): x is greater than 0

Q(x): x is even

R(x): x is a perfect square

S(x): x is divisible by 3

T(x): x is divisible by 7

✏️ Task:
Write the given statements using logical symbols based on the definitions above.

📘 This question was asked in:
• 4th Semester B.E./B.Tech. Degree Examination – Model Question Paper 1
📝 Question No.: 1(c)
📚 Subject: Discrete Mathematical Structures
🧾 Subject Code: BCS405A
📌 Module: 1 – Fundamentals of Logic

✅ Perfect for:
• VTU CSE/ISE students
• BCS405A exam preparation
• Strengthening fundamentals in symbolic logic and open statements

🔢 Video List:

1️⃣ Tautology Proof Explained | [(P ∧ ¬Q) → R] → [P → (Q ∨ R)] | VTU DMS BCS405A Module 1 Q1A
🔗    • Tautology Proof Explained | [(P ∧ ¬Q) → R]...  

2️⃣ Important Tautology Question for VTU Exams | Truth Table Proof | BCS405A Dec/Jan 2024-25 Q1(a)
🔗    • Important Tautology Question for VTU Exams...  

3️⃣ Prove Tautology by Truth Table | [(P ∨ Q) ∧ (P → R) ∧ (Q → R)] → R | BCS405A Module 1 Q1(a)
🔗    • Prove Tautology by Truth Table | [(P ∨ Q) ...  

4️⃣ Logical Equivalence Using Truth Table | VTU BCS405A | Q1(a) Model QP 1
🔗    • Logical Equivalence Using Truth Table | VT...  

5️⃣ (P ∨ Q) → R ≡ (P → R) ∧ (Q → R) | Logical Equivalence Proof | VTU BCS405A Dec 2024 Q2(a)
🔗    • (P ∨ Q) → R ≡ (P → R) ∧ (Q → R) | Logical ...  

6️⃣ Laws of Logic Problem | VTU BCS405A Module 1 – Q.No. 2(b) | June-July 2024
🔗    • Laws of Logic Problem | VTU BCS405A Module...  

7️⃣ Prove [¬P∧(¬Q∧R)]∨[(Q∧R)∨(P∧R)] ≡ R | Laws of Logic | VTU BCS405A Q1(b)
🔗    • Prove [¬P∧(¬Q∧R)]∨[(Q∧R)∨(P∧R)] ≡ R | Laws...  

8️⃣ Direct Proof: Square of an Odd Integer is Always Odd | VTU BCS405A Discrete Mathematics
🔗    • Direct Proof: Square of an Odd Integer is ...  

9️⃣ Direct Proof: Sum of Odd Numbers is Even & Product is Odd | VTU BCS405A Logic
🔗    • Direct Proof: Sum of Odd Numbers is Even &...  

🔟 Direct, Indirect & Contradiction Proof Explained | Odd + 9 = Even | VTU Logic Module 1
🔗    • Direct, Indirect & Contradiction Proof Exp...  

1️⃣1️⃣ Quantifiers in Logic | Symbolic Representation Using ∀ and ∃ | Model QP 1 – Q1(c)
🔗    • Quantifiers in Logic |  Symbolic Represent...  

1️⃣2️⃣ Nested Quantifiers & Truth Value | Logic & Use of Quantifiers | VTU BCS405A Q2(c)
🔗    • Nested Quantifiers & Truth Value | Logic &...  

1️⃣3️⃣ Nested Quantifiers | BCS405A Module 1 Q2(c) | VTU Discrete Maths | Truth Values
🔗    • Nested Quantifiers | BCS405A Module 1 Q2(c...  

📂 📺 Playlists by Module:

👉 BCS405A Module 1 – Fundamentals of Logic | VTU Dec 2024, June 2024, Model Papers Solved
🔗    • BCS405A Module 1 – Fundamentals of Logic |...  

▶️ Module 1 – Fundamentals of Logic
🔗    • BCS405A Module 1 ( Fundamentals of Logic )  

▶️ Module 2 – Sets, Relations, Functions
🔗    • BCS405A Module 2( Discrete Mathematics )  

▶️ Module 3 – Graph Theory & Trees
🔗    • Relations and Functions | BCS405A Module 3...  

▶️ Module 4 – Recurrence, Permutations, Inclusion-Exclusion
🔗    • BCS405A Module 4  ( The principle of exclu...  




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