GATE PH 2024 • Q32
NAT • 1 Mark
Section 8: Electronics
Electronics
Subtopic: Semiconductor Devices, Op-Amps & Digital Circuits
Question Statement:
The minimum number of basic logic gates required to realize the Boolean
expression B ∙ (A + B) + A ∙ (B̅ + A) is _____ (in integer).
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2024 Q.32)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electronics** within *Section 8: Electronics* (1 Mark, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Electronics.
- Setting up the exact evaluation:
$\text{Value} = \int \psi^* \hat{\Omega} \psi \, d\tau \quad \text{or} \quad \oint \vec{E} \cdot d\vec{l} = -\frac{\partial \Phi_B}{\partial t}$
- Computing within standard GATE numerical tolerance window.
**3. Final Answer**:
Official numerical answer is **2.5**.
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