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Please dertimine output logic. Only clear nodes represent inversion
# Digital Logic Gate Diagrams

## Problem 39

### Diagram Explanation:
This circuit diagram depicts a combination of logic gates to achieve a particular logical operation. 

- The circuit takes two inputs.
- Each input is connected to a NOT gate (inverter).
- The outputs of the NOT gates are then fed into an AND gate.

### Symbols:
- **Red Square with White Arrow:** Represents the logical inputs, which can be 0 (low) or 1 (high).
- **NOT Gate (Inverter):** Represented by a triangle followed by a small circle. This gate inverts the input signal.
- **AND Gate:** Represented by a D-shaped symbol, which outputs high only when all inputs are high.

### Truth Table:

| Input 1 | Input 2 | Output |
|---------|---------|--------|
| 0       | 0       | 1      |
| 0       | 1       | 0      |
| 1       | 0       | 0      |
| 1       | 1       | 0      |

---

## Problem 40

### Diagram Explanation:
This circuit diagram incorporates a combination of NOT, AND, and OR gates to perform a specific logical function.

- The circuit takes three inputs.
- Each input is inverted using a NOT gate.
- The outputs of the NOT gates for the first two inputs are fed into an AND gate.
- The output of the AND gate and the third input are fed into an OR gate.
- The output of the OR gate goes through another NOT gate to produce the final output.

### Symbols:
- **OR Gate:** Represented by a curved shape with a point, which outputs high if at least one input is high.
- **Other Symbols:** Same as Problem 39.

### Truth Table:

| Input 1 | Input 2 | Input 3 | Output |
|---------|---------|---------|--------|
| 0       | 0       | 0       | 1      |
| 0       | 0       | 1       | 0      |
| 0       | 1       | 0       | 0      |
| 0       | 1       | 1       | 0      |
| 1       | 0       | 0       | 0      |
| 1       | 0       | 1       | 0      |
| 1
Transcribed Image Text:# Digital Logic Gate Diagrams ## Problem 39 ### Diagram Explanation: This circuit diagram depicts a combination of logic gates to achieve a particular logical operation. - The circuit takes two inputs. - Each input is connected to a NOT gate (inverter). - The outputs of the NOT gates are then fed into an AND gate. ### Symbols: - **Red Square with White Arrow:** Represents the logical inputs, which can be 0 (low) or 1 (high). - **NOT Gate (Inverter):** Represented by a triangle followed by a small circle. This gate inverts the input signal. - **AND Gate:** Represented by a D-shaped symbol, which outputs high only when all inputs are high. ### Truth Table: | Input 1 | Input 2 | Output | |---------|---------|--------| | 0 | 0 | 1 | | 0 | 1 | 0 | | 1 | 0 | 0 | | 1 | 1 | 0 | --- ## Problem 40 ### Diagram Explanation: This circuit diagram incorporates a combination of NOT, AND, and OR gates to perform a specific logical function. - The circuit takes three inputs. - Each input is inverted using a NOT gate. - The outputs of the NOT gates for the first two inputs are fed into an AND gate. - The output of the AND gate and the third input are fed into an OR gate. - The output of the OR gate goes through another NOT gate to produce the final output. ### Symbols: - **OR Gate:** Represented by a curved shape with a point, which outputs high if at least one input is high. - **Other Symbols:** Same as Problem 39. ### Truth Table: | Input 1 | Input 2 | Input 3 | Output | |---------|---------|---------|--------| | 0 | 0 | 0 | 1 | | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | | 1
### Educational Content on Basic Logic Circuits

#### Logic Gate Diagrams and Their Functions

**Diagram 1 (Figure 37)**:
- This diagram showcases a combination of logic gates used to process input signals.
- The inputs consist of three switches, each with binary inputs 1 (ON) and 0 (OFF).
- Each pair of inputs is fed into an AND gate, which produces an output signal only when both inputs are 1.
- The outputs from the three AND gates are then combined using an OR gate, which produces an output if at least one of its inputs is 1.

**Diagram 2 (Figure 37)**:
- This diagram is similar to the first one but includes an additional NOT gate at the final output.
- The same configuration of three AND gates and one OR gate is used.
- The output of the OR gate is inverted by the NOT gate, changing the final signal to its opposite state (i.e., 1 becomes 0, and 0 becomes 1).

**Diagram 3 (Figure 38)**:
- This diagram illustrates a series of NOT gates used in sequence.
- A single switch provides the binary input (1 or 0).
- The input signal passes through a series of NOT gates, each inverting the signal.
- The final value can be determined based on the number of NOT gates; an even number leaves the input unchanged, while an odd number inverts it.

#### Understanding Logic Gates:

**AND Gate**:
- Requires both inputs to be 1 (high) for the output to be 1 (high).
- If either input is 0 (low), the output will be 0 (low).

**OR Gate**:
- Requires at least one input to be 1 (high) for the output to be 1 (high).
- If both inputs are 0 (low), the output will be 0 (low).

**NOT Gate**:
- Inverts the input signal.
- If the input is 1 (high), the output is 0 (low), and vice versa.

These diagrams are foundational for understanding how logic circuits can be used in computational systems to perform various operations. Whether dealing with basic decision-making processes or more complex computational tasks, logic gates play a critical role in designing functional electronic systems.
Transcribed Image Text:### Educational Content on Basic Logic Circuits #### Logic Gate Diagrams and Their Functions **Diagram 1 (Figure 37)**: - This diagram showcases a combination of logic gates used to process input signals. - The inputs consist of three switches, each with binary inputs 1 (ON) and 0 (OFF). - Each pair of inputs is fed into an AND gate, which produces an output signal only when both inputs are 1. - The outputs from the three AND gates are then combined using an OR gate, which produces an output if at least one of its inputs is 1. **Diagram 2 (Figure 37)**: - This diagram is similar to the first one but includes an additional NOT gate at the final output. - The same configuration of three AND gates and one OR gate is used. - The output of the OR gate is inverted by the NOT gate, changing the final signal to its opposite state (i.e., 1 becomes 0, and 0 becomes 1). **Diagram 3 (Figure 38)**: - This diagram illustrates a series of NOT gates used in sequence. - A single switch provides the binary input (1 or 0). - The input signal passes through a series of NOT gates, each inverting the signal. - The final value can be determined based on the number of NOT gates; an even number leaves the input unchanged, while an odd number inverts it. #### Understanding Logic Gates: **AND Gate**: - Requires both inputs to be 1 (high) for the output to be 1 (high). - If either input is 0 (low), the output will be 0 (low). **OR Gate**: - Requires at least one input to be 1 (high) for the output to be 1 (high). - If both inputs are 0 (low), the output will be 0 (low). **NOT Gate**: - Inverts the input signal. - If the input is 1 (high), the output is 0 (low), and vice versa. These diagrams are foundational for understanding how logic circuits can be used in computational systems to perform various operations. Whether dealing with basic decision-making processes or more complex computational tasks, logic gates play a critical role in designing functional electronic systems.
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