1) If the given waveforms are the inputs of AND gate draw the output waveform. 1 a 1 1 C

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Title: Understanding AND Gate Waveforms

---

**Introduction**

In digital electronics, an AND gate is a basic circuit that outputs true or '1' only if all its inputs are true or '1'. In this demonstration, we will analyze a set of input waveforms and determine the corresponding output waveform when processed through an AND gate.

**Waveform Analysis**

1. **Inputs Description**
   - The inputs to the AND gate are labeled as \( a \), \( b \), and \( c \).
   - Each input signal alternates between high (1) and low (0) states over time.

2. **Waveform Details**
   - **Input \( a \):** Initially high, remains high for the majority of the time, and shows a low state once during the sequence.
   - **Input \( b \):** Starts low, transitions to high, and alternates between these states; notably, it remains high simultaneously with other inputs for certain periods.
   - **Input \( c \):** Alternates between low and high states; it overlaps with high states of inputs \( a \) and \( b \) during specific intervals.

**Output Waveform Determination**

- The output of an AND gate depends on simultaneous high states (1) across all inputs.
- By examining the given waveforms:
  - Identify intervals where all three inputs \( a \), \( b \), and \( c \) are high (1) simultaneously.
  - Draw the output waveform with high states corresponding to these intervals; otherwise, the output remains low (0).

**Conclusion**

Understanding the behavior of digital logic gates like the AND gate is crucial for designing efficient electronic circuits. Accurately interpreting input waveforms and predicting outputs allows engineers and students to effectively work with complex logical systems.
Transcribed Image Text:Title: Understanding AND Gate Waveforms --- **Introduction** In digital electronics, an AND gate is a basic circuit that outputs true or '1' only if all its inputs are true or '1'. In this demonstration, we will analyze a set of input waveforms and determine the corresponding output waveform when processed through an AND gate. **Waveform Analysis** 1. **Inputs Description** - The inputs to the AND gate are labeled as \( a \), \( b \), and \( c \). - Each input signal alternates between high (1) and low (0) states over time. 2. **Waveform Details** - **Input \( a \):** Initially high, remains high for the majority of the time, and shows a low state once during the sequence. - **Input \( b \):** Starts low, transitions to high, and alternates between these states; notably, it remains high simultaneously with other inputs for certain periods. - **Input \( c \):** Alternates between low and high states; it overlaps with high states of inputs \( a \) and \( b \) during specific intervals. **Output Waveform Determination** - The output of an AND gate depends on simultaneous high states (1) across all inputs. - By examining the given waveforms: - Identify intervals where all three inputs \( a \), \( b \), and \( c \) are high (1) simultaneously. - Draw the output waveform with high states corresponding to these intervals; otherwise, the output remains low (0). **Conclusion** Understanding the behavior of digital logic gates like the AND gate is crucial for designing efficient electronic circuits. Accurately interpreting input waveforms and predicting outputs allows engineers and students to effectively work with complex logical systems.
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