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How many NAND gates are required for XOR?

Posted on September 25, 2022 by Author

Table of Contents

  • 1 How many NAND gates are required for XOR?
  • 2 How ex OR gate can be implemented by NAND gates?
  • 3 How do you prove a NAND gate is a universal gate?
  • 4 How do you make NOR gates EX OR gate?
  • 5 Why NOR AND NAND gate is universal gate?

How many NAND gates are required for XOR?

four NAND gates
An XOR gate circuit can be made from four NAND gates. In fact, both NAND and NOR gates are so-called “universal gates” and any logical function can be constructed from either NAND logic or NOR logic alone.

How ex OR gate can be implemented by NAND gates?

The output of Ex-OR gate is ‘1’ when an odd number of ones present at the inputs. Hence, the output of Ex-OR gate is also called as an odd function. NAND gate – It is a digital circuit that has two or more inputs and produces an output, which is the inversion of logical AND of all those inputs.

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How many NOR gates are required to result in an ex OR gate?

= (A’ + B’) (A + B) This equation looks like it can be implemented using NOR Gates. We need totally five NOR gates (two for inverting A and B, one for NOR of A and B, one for NOR of A’ and B’ and the final one to obtain the above equation). The following image shows the XOR Gate implemented using NOR Gates.

How many NAND gates are required to replace a NOR gate?

NOR: It takes four NAND gates to create a NOR gate. This circuit is the same as the OR gate circuit, with the addition of another NOT gate to invert the output from the third NAND gate. Inverting the output changes the overall function of the circuit from OR to NOR.

How do you prove a NAND gate is a universal gate?

An OR gate can be replaced by NAND gates as shown in the figure (The OR gate is replaced by a NAND gate with all its inputs complemented by NAND gate inverters). Thus, the NAND gate is a universal gate since it can implement the AND, OR and NOT functions.

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How do you make NOR gates EX OR gate?

Hint: An EX-OR gate is a digital logic gate which gives a true output when the number of inputs is odd only. Whereas, EX-NOR gate is just an EX-OR gate followed by a NOT gate which gives a true output only when the number of inputs is even….

Input A Input B Output Q
0 0 1
0 1 0
1 0 0
1 1 1

What is the expression of ex NOR gate?

We said previously that the Ex-NOR function is a combination of different basic logic gates Ex-OR and a NOT gate, and by using the 2-input truth table above, we can expand the Ex-NOR function to: Q = A ⊕ B = (A.B) + (A.B) which means we can realise this new expression using the following individual gates.

How will you obtain and gate from NOR gate?

To obtain an AND gate from NOR gates, we feed input A and B into two separate NOR gates with joined input to obtain a NOT (A) and a NOT (B) separately. Then this two different outputs are fed into either input (i.e. NOT (A) to one Input terminal and NOT (B) to another terminal). The result will be an AND gate.

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Why NOR AND NAND gate is universal gate?

The NAND & NOR gates are called universal gates because they perform all the logical operations of basis gates like AND, OR, NOT. Answer: NOR AS AND An AND gate gives a 1 output when both inputs are 1; a NOR gate gives a 1 output only when both inputs are 0.

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