Semiconductors Previous Year Questions — JEE Main Physics
32 past-year Semiconductors questions from JEE Main (Physics) — page 6.
Q35 (2026)
The correct truth table for the given input data of the following logic gate is :
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- <div style="overflow-x: auto; margin: 0.5rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;" colspan="4">Inputs</th><th style="border: 1px solid #888; padding: 4px;">Output</th></tr><tr><th style="border: 1px solid #888; padding: 4px;">A</th><th style="border: 1px solid #888; padding: 4px;">B</th><th style="border: 1px solid #888; padding: 4px;">C</th><th style="border: 1px solid #888; padding: 4px;">D</th><th style="border: 1px solid #888; padding: 4px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 0.5rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;" colspan="4">Inputs</th><th style="border: 1px solid #888; padding: 4px;">Output</th></tr><tr><th style="border: 1px solid #888; padding: 4px;">A</th><th style="border: 1px solid #888; padding: 4px;">B</th><th style="border: 1px solid #888; padding: 4px;">C</th><th style="border: 1px solid #888; padding: 4px;">D</th><th style="border: 1px solid #888; padding: 4px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 0.5rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;" colspan="4">Inputs</th><th style="border: 1px solid #888; padding: 4px;">Output</th></tr><tr><th style="border: 1px solid #888; padding: 4px;">A</th><th style="border: 1px solid #888; padding: 4px;">B</th><th style="border: 1px solid #888; padding: 4px;">C</th><th style="border: 1px solid #888; padding: 4px;">D</th><th style="border: 1px solid #888; padding: 4px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 0.5rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;" colspan="4">Inputs</th><th style="border: 1px solid #888; padding: 4px;">Output</th></tr><tr><th style="border: 1px solid #888; padding: 4px;">A</th><th style="border: 1px solid #888; padding: 4px;">B</th><th style="border: 1px solid #888; padding: 4px;">C</th><th style="border: 1px solid #888; padding: 4px;">D</th><th style="border: 1px solid #888; padding: 4px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr></tbody></table></div>
### Related Formula
$$Y = \overline{(\overline{A \cdot B}) \cdot (C + D)}$$
Applying De Morgan's Law:
$$Y = (A \cdot B) + (\overline{C + D})$$
### Core Logic
Analyzing the expression step by step:
1. Upper branch: $A$ and $B$ pass through NAND gate $\rightarrow \overline{A \cdot B}$.
2. Lower branch: $C$ and $D$ pass through OR gate $\rightarrow (C + D)$.
3. Combined in AND gate followed by NOT gate (NAND equivalent output stage):
$$Y = \overline{(\overline{A \cdot B}) \cdot (C + D)} = (A \cdot B) + (\overline{C + D})$$
Testing conditions for Option (2):
- For $A=1, B=1, C=0, D=1 \implies (1 \cdot 1) + (\overline{0 + 1}) = 1 + 0 = 1$.
- For $A=0, B=0, C=1, D=1 \implies (0 \cdot 0) + (\overline{1 + 1}) = 0 + 0 = 0$.
- For $A=1, B=0, C=1, D=0 \implies (1 \cdot 0) + (\overline{1 + 0}) = 0 + 0 = 0$.
- For $A=1, B=1, C=1, D=1 \implies (1 \cdot 1) + (\overline{1 + 1}) = 1 + 0 = 1$.
{{SOL_IMG1}}
### Step 1: Final Conclusion
Option (2) presents the correct truth table matching the evaluated output values.
### Pattern Recognition
Boolean reduction: $\overline{\bar{X} \cdot Y} = X + \bar{Y}$ where $X = A \cdot B$ and $Y = C+D$. Hence $Y = (A \cdot B) + (\overline{C+D})$.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 12 Physics: Semiconductor Electronics
Q37 (2026)
The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at $V_{Z} = 5V$ and the desired current in load is 5 mA. The unregulated voltage source can supply up to 25V. Considering the Zener diode can withstand four times of the load current, the value of resistor $R_{S}$ (shown in circuit) should be ____ $\Omega$.
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- $4000$
- $10$
- $100$
- $1000$
### Related Formula
$$I_{\text{total}} = I_{Z} + I_{L}$$
$$V_{\text{in}} - V_{Z} = I_{\text{total}} R_{S}$$
### Core Logic
The question is dropped by the examination authority, meaning there was an anomaly in data or multiple correct interpretations, likely due to imprecise wording regarding the maximum source voltage and the exact safe current rating. In a nominal calculation, $I_{Z_{\text{max}}} = 4 \times 5 \text{ mA} = 20 \text{ mA}$. Total current $I = 25 \text{ mA}$. $R_{S} = (25 - 5) / (25 \times 10^{-3}) = 800\Omega$, which is not in the options.
### Step 1: Final Conclusion
Question Dropped.
### Pattern Recognition
Sees: "Question Dropped" → This often occurs when mathematical data maps to none of the provided MCQs.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 12 Physics: Semiconductor Electronics: Materials, Devices and Simple Circuits
Q38 (2026)
For the given logic gate circuit, which of the following is the correct truth table?
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- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;">n</th><th style="border: 1px solid #888; padding: 4px;">m</th><th style="border: 1px solid #888; padding: 4px;">z</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;">n</th><th style="border: 1px solid #888; padding: 4px;">m</th><th style="border: 1px solid #888; padding: 4px;">z</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;">n</th><th style="border: 1px solid #888; padding: 4px;">m</th><th style="border: 1px solid #888; padding: 4px;">z</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 4px;">n</th><th style="border: 1px solid #888; padding: 4px;">m</th><th style="border: 1px solid #888; padding: 4px;">z</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 4px;">1</td><td style="border: 1px solid #888; padding: 4px;">0</td><td style="border: 1px solid #888; padding: 4px;">0</td></tr></tbody></table></div>
### Related Formula
Boolean Algebra rules:
$A + AB = A$
$A \cdot A = A$
NAND Gate: $Z = \overline{X \cdot Y}$
### Core Logic
Gate 1 (Bottom): This is an OR gate with inputs $n$ and $m$.
Output = $n + m$
Gate 2 (Top): This is a NAND gate. Its inputs are direct $n$ and the output of the OR gate ($n + m$).
Output $z = \overline{n \cdot (n + m)}$
### Step 1: Simplify the Boolean Expression
First, expand the inner term:
$$n \cdot (n + m) = (n \cdot n) + (n \cdot m)$$
Since $n \cdot n = n$, this becomes:
$$n + n \cdot m = n(1 + m) = n \cdot 1 = n$$
So the overall output is:
$$z = \overline{n \cdot (n + m)} = \overline{n}$$
### Step 2: Construct the Truth Table
Since $z = \overline{n}$, the output $z$ only depends on $n$ and is its exact inverse.
When $n=0, m=0 \implies z=1$
When $n=0, m=1 \implies z=1$
When $n=1, m=1 \implies z=0$
When $n=1, m=0 \implies z=0$
### Pattern Recognition
Always simplify the Boolean expression using standard absorption laws (like $A(A+B) = A$) before manually evaluating every row. It saves significant time.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 12 Physics: Semiconductor Electronics
Q48 (2026)
A voltage regulating circuit consisting of Zener diode, having break-down voltage of 10 V and maximum power dissipation of 0.4 W, is operated at 15 V. The approximate value of protective resistance in this circuit is ____ $\Omega$.
### Related Formula
$P_Z = V_Z I_Z$
$$V_{\text{in}} = I_Z R_S + V_Z$$
### Core Logic
For the Zener diode, the maximum power dissipated is:
$$P_D = 0.4 \text{ W}$$
Since $P_D = V_Z I_Z$:
$$0.4 = 10 \times I_Z \implies I_Z = 0.04 \text{ A}$$
### Step 1: Find Protective Series Resistance
{{SOL_IMG1}}
The voltage drop across the series protective resistance $R$ is:
$$V_R = V_{\text{in}} - V_Z = 15 - 10 = 5 \text{ V}$$
Using Ohm's law, $R = \frac{V_R}{I_Z}$:
$$R = \frac{5}{0.04} = \frac{500}{4} = 125 \, \Omega$$
### Pattern Recognition
To secure a Zener against burning out, calculate its max safe current via $P_{max} / V_z$. Feed this current into the required voltage drop ($V_{in} - V_z$) to get the exact protective resistance.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 12 Physics: Semiconductor Electronics
Q39 (2026)
Identify the correct truth table of the given logical circuit.
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- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 8px;">A</th><th style="border: 1px solid #888; padding: 8px;">B</th><th style="border: 1px solid #888; padding: 8px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 8px;">A</th><th style="border: 1px solid #888; padding: 8px;">B</th><th style="border: 1px solid #888; padding: 8px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 8px;">A</th><th style="border: 1px solid #888; padding: 8px;">B</th><th style="border: 1px solid #888; padding: 8px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr></tbody></table></div>
- <div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: center; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 8px;">A</th><th style="border: 1px solid #888; padding: 8px;">B</th><th style="border: 1px solid #888; padding: 8px;">Y</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td><td style="border: 1px solid #888; padding: 8px;">1</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">1</td><td style="border: 1px solid #888; padding: 8px;">0</td></tr></tbody></table></div>
### Related Formula
$$\text{De Morgan's Laws: } \overline{A \cdot B} = \overline{A} + \overline{B}$$
### Core Logic
{{SOL_IMG1}}
Let's trace the logic line by line.
Top branch: A passes through an AND gate with both inputs tied to A, so it remains $A$.
Bottom branch: A and B pass through a NAND gate, yielding $\overline{A \cdot B}$. Then it passes through an AND gate with inputs tied together, so it remains $\overline{A \cdot B}$.
### Step 1: Boolean Expression
Finally, the inputs $A$ and $\overline{A \cdot B}$ are fed into a final AND gate.
$$Y = A \cdot \overline{A \cdot B}$$
Applying De Morgan's Law:
$$Y = A \cdot (\overline{A} + \overline{B})$$
$$Y = A \cdot \overline{A} + A \cdot \overline{B}$$
### Step 2: Simplify
Since $A \cdot \overline{A} = 0$, we have:
$$Y = 0 + A \overline{B} = A \overline{B}$$
Checking values:
If $A=1, B=0$, then $Y = 1 \cdot 1 = 1$.
For all other combinations, $Y = 0$.
{{SOL_IMG2}}
### Pattern Recognition
An AND gate acting on $A$ and $\text{NAND}(A, B)$ inherently acts as a "strictly A and NOT B" checker. The boolean algebra instantly simplifies $A(\overline{AB})$ to $A\overline{B}$.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 12 Physics: Semiconductor Electronics