5. What digital logic does the following circuit represent? Explain your answer with the analog truth table. Assume V₁ = V2 = 5V, the BJT transistors work in saturation and VCE(sat)= 0.2V (for both). RB V₁ww IBI Vcc=5 V Rc IC Q₁ V₂0 RB Ic₂ 0₂ Vo

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**Question:**

5. What digital logic does the following circuit represent? Explain your answer with the analog truth table. Assume \( V_1 = V_2 = 5V \), the BJT transistors work in saturation and \( V_{CE(sat)} = 0.2V \) (for both).

**Diagram Explanation:**

The circuit diagram shows a transistor-based logic circuit with two Bipolar Junction Transistors (BJTs), \( Q_1 \) and \( Q_2 \), configured in a cascaded arrangement. The key components include:

- Two input voltages, \( V_1 \) and \( V_2 \), are applied at the bases of the transistors \( Q_1 \) and \( Q_2 \) through identical base resistors \( R_B \).
- Each transistor has a collector resistor, \( R_C \), connected to a common supply voltage \( V_{CC} = 5V \).
- The emitters of both transistors are connected to the ground.
- The output voltage, \( V_O \), is taken from the connection between the collector of \( Q_2 \) and \( R_C \).

In this circuit, the transistors are in saturation mode, meaning they conduct fully when a base current is applied, allowing maximum current through the collector-emitter path.

**Logic Analysis:**

This circuit operates as a NAND gate. In a NAND gate:

- The output is high (\( V_{CC} \)) when at least one of the inputs is low (0V).
- The output is low (close to 0V) only when both inputs are high.

**Truth Table:**

| \( V_1 \) | \( V_2 \) | \( V_O \) |
|-----------|-----------|-----------|
| 0         | 0         | 5V        |
| 0         | 1         | 5V        |
| 1         | 0         | 5V        |
| 1         | 1         | 0.2V      |

In conclusion, when both \( V_1 \) and \( V_2 \) are high (5V), both transistors saturate, causing the output \( V_O \) to be low (~0.2V). For all other input combinations, the output remains high at 5V. Thus, this circuit functions as a NAND
Transcribed Image Text:**Question:** 5. What digital logic does the following circuit represent? Explain your answer with the analog truth table. Assume \( V_1 = V_2 = 5V \), the BJT transistors work in saturation and \( V_{CE(sat)} = 0.2V \) (for both). **Diagram Explanation:** The circuit diagram shows a transistor-based logic circuit with two Bipolar Junction Transistors (BJTs), \( Q_1 \) and \( Q_2 \), configured in a cascaded arrangement. The key components include: - Two input voltages, \( V_1 \) and \( V_2 \), are applied at the bases of the transistors \( Q_1 \) and \( Q_2 \) through identical base resistors \( R_B \). - Each transistor has a collector resistor, \( R_C \), connected to a common supply voltage \( V_{CC} = 5V \). - The emitters of both transistors are connected to the ground. - The output voltage, \( V_O \), is taken from the connection between the collector of \( Q_2 \) and \( R_C \). In this circuit, the transistors are in saturation mode, meaning they conduct fully when a base current is applied, allowing maximum current through the collector-emitter path. **Logic Analysis:** This circuit operates as a NAND gate. In a NAND gate: - The output is high (\( V_{CC} \)) when at least one of the inputs is low (0V). - The output is low (close to 0V) only when both inputs are high. **Truth Table:** | \( V_1 \) | \( V_2 \) | \( V_O \) | |-----------|-----------|-----------| | 0 | 0 | 5V | | 0 | 1 | 5V | | 1 | 0 | 5V | | 1 | 1 | 0.2V | In conclusion, when both \( V_1 \) and \( V_2 \) are high (5V), both transistors saturate, causing the output \( V_O \) to be low (~0.2V). For all other input combinations, the output remains high at 5V. Thus, this circuit functions as a NAND
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