Explain this circuit in detail NOT gate using NAND gate: A D-

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**Explain this circuit in detail**

**NOT gate using NAND gate:**

In the provided diagram, two circuits are illustrated. Both circuits achieve the function of a NOT gate, but one uses a traditional NOT gate, and the other uses a NAND gate to create the NOT gate functionality. 

1. **Top Circuit (Standard NOT Gate):**
   - The circuit includes one switch labeled as input \( A \). 
   - The switch is connected to a NOT gate.
   - The output from the NOT gate, labeled \( A' \), is connected to a light bulb.
   - When the switch \( A \) is turned on (logic level 1), the NOT gate inverts this to logic level 0, turning the light bulb off.
   - When the switch \( A \) is turned off (logic level 0), the NOT gate inverts this to logic level 1, turning the light bulb on.

2. **Bottom Circuit (NOT Gate using NAND Gate):**
   - The circuit includes one switch labeled as input \( A \).
   - The switch is connected to both inputs of a NAND gate. 
   - The output from the NAND gate, labeled \( A' \), is connected to a light bulb.
   - Since a NAND gate outputs logic level 0 only when both inputs are at logic level 1:
     - When the switch \( A \) is turned on (logic level 1), both inputs of the NAND gate are at logic level 1, producing an output of logic level 0, and thus the light bulb turns off.
     - When the switch \( A \) is turned off (logic level 0), both inputs of the NAND gate are at logic level 0, producing an output of logic level 1, and thus the light bulb turns on.

**Summary:**
Both circuits effectively demonstrate how a NOT gate functions, but the bottom circuit shows how a NAND gate can be used to replicate the behavior of a NOT gate by connecting both of its inputs to the same signal. This substitution is a fundamental concept in digital logic design, illustrating the versatility and importance of the NAND gate in building other basic logic gates.
Transcribed Image Text:**Explain this circuit in detail** **NOT gate using NAND gate:** In the provided diagram, two circuits are illustrated. Both circuits achieve the function of a NOT gate, but one uses a traditional NOT gate, and the other uses a NAND gate to create the NOT gate functionality. 1. **Top Circuit (Standard NOT Gate):** - The circuit includes one switch labeled as input \( A \). - The switch is connected to a NOT gate. - The output from the NOT gate, labeled \( A' \), is connected to a light bulb. - When the switch \( A \) is turned on (logic level 1), the NOT gate inverts this to logic level 0, turning the light bulb off. - When the switch \( A \) is turned off (logic level 0), the NOT gate inverts this to logic level 1, turning the light bulb on. 2. **Bottom Circuit (NOT Gate using NAND Gate):** - The circuit includes one switch labeled as input \( A \). - The switch is connected to both inputs of a NAND gate. - The output from the NAND gate, labeled \( A' \), is connected to a light bulb. - Since a NAND gate outputs logic level 0 only when both inputs are at logic level 1: - When the switch \( A \) is turned on (logic level 1), both inputs of the NAND gate are at logic level 1, producing an output of logic level 0, and thus the light bulb turns off. - When the switch \( A \) is turned off (logic level 0), both inputs of the NAND gate are at logic level 0, producing an output of logic level 1, and thus the light bulb turns on. **Summary:** Both circuits effectively demonstrate how a NOT gate functions, but the bottom circuit shows how a NAND gate can be used to replicate the behavior of a NOT gate by connecting both of its inputs to the same signal. This substitution is a fundamental concept in digital logic design, illustrating the versatility and importance of the NAND gate in building other basic logic gates.
## OR Gate Using NAND Gate

### Explanation

This section details the construction of an OR gate utilizing NAND gates. Below is a step-by-step breakdown of the circuit diagram shown:

#### Components:
- Inputs: A, B
- NAND Gates
- Inverters
- Outputs: A', B', A + B (Light bulbs as indicator)

#### Circuit Description:
1. **Inputs (A and B):**
   - There are two main inputs labeled A and B. These values will be used to determine the output of the OR gate.

2. **Inverters:**
   - The first part of the circuit involves two inverters connected to inputs A and B, respectively. These inverters generate the inverted signals A' and B'.
     - The inverted output of A is labeled as A'.
     - The inverted output of B is labeled as B'.

3. **NAND Gates:**
   - The circuit then routes the signals as follows:
     - The input A and B are each passed through their respective inverters to create A' and B’.
     - The output from these inverters (A' and B') are passed to another NAND gate.
     
4. **Output:**
   - The output of the final NAND gate is used to drive the light bulb, which represents the OR operation result (A + B).
   - This approach effectively realizes the OR operation through a combination of NAND gates and inverters. The light bulb will illuminate if either input A OR input B (or both) is true.

By using these NAND gates and inverters, the circuit successfully emulates the behavior of an OR gate. The core idea behind this logic circuit lies in De Morgan's Theorem.
Transcribed Image Text:## OR Gate Using NAND Gate ### Explanation This section details the construction of an OR gate utilizing NAND gates. Below is a step-by-step breakdown of the circuit diagram shown: #### Components: - Inputs: A, B - NAND Gates - Inverters - Outputs: A', B', A + B (Light bulbs as indicator) #### Circuit Description: 1. **Inputs (A and B):** - There are two main inputs labeled A and B. These values will be used to determine the output of the OR gate. 2. **Inverters:** - The first part of the circuit involves two inverters connected to inputs A and B, respectively. These inverters generate the inverted signals A' and B'. - The inverted output of A is labeled as A'. - The inverted output of B is labeled as B'. 3. **NAND Gates:** - The circuit then routes the signals as follows: - The input A and B are each passed through their respective inverters to create A' and B’. - The output from these inverters (A' and B') are passed to another NAND gate. 4. **Output:** - The output of the final NAND gate is used to drive the light bulb, which represents the OR operation result (A + B). - This approach effectively realizes the OR operation through a combination of NAND gates and inverters. The light bulb will illuminate if either input A OR input B (or both) is true. By using these NAND gates and inverters, the circuit successfully emulates the behavior of an OR gate. The core idea behind this logic circuit lies in De Morgan's Theorem.
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