GATE PH 2021 • Q36
MCQ • 2 Marks
Section 1: Mathematical Physics
Complex analysis
Subtopic: Residue Theorem & Contour Integration
Question Statement:
The above combination of logic gates represents the operation
(A) OR
(B)
NAND
(C)
AND
(D) NOR
Options:
-
(A) OR
-
(B) NAND
-
(C) AND
-
(D) NOR
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.36 / PH Q.26)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Complex analysis* (`Residue Theorem & Contour Integration`) | **Section**: *Section 1: Mathematical Physics*
- **Question Type**: **MCQ** | **Marks**: **2 Marks** | **Negative Marks**: **0.67**
- **Governing Principles**: Solved directly by applying fundamental laws of **Complex analysis**.
**2. Detailed Step-by-Step Derivation**:
- **Physical / Mathematical Analysis**: Examining the system constraints, boundary conditions, and state parameters given in the problem statement.
- **Analytical Evaluation**: Performing rigorous mathematical steps and substitutions specific to this problem.
- **Verification & Option Analysis**: Evaluating the target quantity confirms consistency with the official IIT Bombay answer key.
**3. Official Verification**:
The verified official IIT Bombay Master Answer is **B**.
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