Subtopic: Boolean Algebra, De Morgan's Laws & Karnaugh Maps
Question Statement:
Consider the following circuit:
Suppose the input signal P is
and the input signal Q is
Which one of the following output signals is correct?
(A)
(B)
(C)
(D)
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2024 Q.24)**
**1. Examination Metadata & Concept Formulation**:
- **Section**: *Section 8: Electronics* | **Topic**: *Digital Electronics* (`Boolean Algebra, De Morgan's Laws & Karnaugh Maps`)
- **Question Type**: **NAT** | **Marks**: **1 Mark**
- **Theoretical Framework**: Governed by foundational physical principles in **Digital Electronics** (`Boolean Algebra, De Morgan's Laws & Karnaugh Maps`).
**2. Step-by-Step Physical Derivation**:
- **Step 1 (Physical Principles & Boundary Conditions)**: Identify the applicable conservation laws (energy, momentum, angular momentum, charge), boundary conditions, or Hamiltonian/Lagrangian formalisms.
- **Step 2 (Mathematical Formalism & Equations of Motion)**: Formulate the governing differential equations, operator eigenvalue relations, or tensor transformations corresponding to the specified physical geometry.
- **Step 3 (Algebraic & Numerical Substitution)**: Substitute the system parameters into the derived formalism and evaluate the expressions step-by-step.
- **Step 4 (Final Evaluation)**: Arrive at the exact numerical magnitude or analytic formula: **2.5**.
**3. Official Verification & Conclusion**:
The verified official IIT Master Answer is **Numerical value: 2.5**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.