Creating an inverter from a 2 input NAND gate

In summary, to connect a 2-input NAND gate to form a basic inverter, you can tie the two inputs together and observe the resulting truth table. This will allow you to convert a two-input device into a one-input device using only NAND gates, fanin, and fanout. By tying the inputs together, you can ensure that the inputs are the same and produce the desired output.
  • #1
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how would yo connect a 2 input nand gate to form a basic inverter?
i constructed a truth table. i know that the two middle ones don't count because the inputs have to be of the same value for an inverter. but what conclusion can i draw from this?
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  • #2
Well, the basic inverter has only one input. So what are some ways you could convert a two-input device to a one-input device?
 
  • #3
so both of the inputs have to be the same so it equals one value on the inverter?
 
  • #4
You're only allowed to use NAND gates and fanin and fanout. So try things, and see what the truth tables end up being. What happens if you just tie the two inputs of a NAND gate together? What's the resulting truth table? Is it what you want?
 
  • #5


To create a basic inverter using a 2 input NAND gate, you would connect one of the inputs to the output of the gate and leave the other input unconnected. This will create a logic circuit where the output is the inverse of the input.

Based on the truth table you have constructed, it is clear that the output of the NAND gate will be 0 (or low) only when both inputs are 1 (or high). In all other cases, the output will be 1 (or high). By connecting one input to the output, you are effectively creating a feedback loop where the output will always be the inverse of the input. This is the basic principle of an inverter.

In conclusion, by connecting a 2 input NAND gate in a specific way, we can create a basic inverter circuit which can be used in various electronic systems to invert the input signal.
 

FAQ: Creating an inverter from a 2 input NAND gate

1. What is an inverter and what does it do?

An inverter is a logic gate that takes in a binary input (0 or 1) and outputs the opposite value. This means that if the input is 0, the output will be 1, and vice versa. It is commonly used in digital circuits to convert between logic levels.

2. Can an inverter be created from a 2 input NAND gate?

Yes, an inverter can be created using a 2 input NAND gate. This can be done by connecting the two inputs of the NAND gate together, effectively creating a NOT gate. When both inputs are the same, the output will be the opposite value, acting as an inverter.

3. What are the advantages of using a 2 input NAND gate to create an inverter?

Using a 2 input NAND gate to create an inverter is advantageous because it can save space and cost in a circuit. Since NAND gates are more commonly used and readily available, it eliminates the need for a separate inverter component.

4. Are there any limitations to using a 2 input NAND gate as an inverter?

One limitation of using a 2 input NAND gate as an inverter is that the output will only be the opposite value when both inputs are the same. If the inputs are different, the output will be 1. This may not be suitable for certain circuit designs.

5. How can a 2 input NAND gate be used as an inverter in a circuit?

In order to use a 2 input NAND gate as an inverter in a circuit, the inputs must be connected together and the output must be connected to the rest of the circuit. This will allow the inverter to function by taking in the input signal and outputting the opposite value to the rest of the circuit.

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