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4 bit odd parity checker can be implemented using_____________a.2 XNOR Gates with 2 inputsb.1 XNOR Gate with 3 inputsc.3 XNOR Gates with 2 inputsd.Both (a) and (b)

Question

4 bit odd parity checker can be implemented using_____________a.2 XNOR Gates with 2 inputsb.1 XNOR Gate with 3 inputsc.3 XNOR Gates with 2 inputsd.Both (a) and (b)

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Solution 1

The correct answer is c. 3 XNOR Gates with 2 inputs.

Here's the step by step explanation:

  1. A parity checker is a system that checks the parity bit in a set of binary data to ensure its accuracy. The parity bit ensures that the total number of 1-bits in the string is even or odd.

  2. In the case of a 4-bit odd parity checker, the system checks a 4-bit binary data to ensure that the number of 1-bits is odd.

  3. An XNOR gate is a digital logic gate that outputs true or 1 only when the number of true inputs is even.

  4. To implement a 4-bit odd parity checker, we need to ensure that the number of 1-bits is odd. This can be achieved by using 3 XNOR gates with 2 inputs each.

  5. The first two bits are fed into the first XNOR gate, the output of which and the third bit are fed into the second XNOR gate, and finally, the output of the second XNOR gate and the fourth bit are fed into the third XNOR gate.

  6. The final output will be 1 if the number of 1-bits in the 4-bit data is odd, and 0 if it is even.

So, the correct answer is c. 3 XNOR Gates with 2 inputs.

This problem has been solved

Solution 2

The correct answer is c. 3 XNOR Gates with 2 inputs.

Here's the step by step explanation:

  1. A parity checker is a system that checks the parity bit in a set of binary data to determine if the total number of 1-bits is even or odd.

  2. An odd parity checker will output a '1' if the number of '1's in the input is odd, and a '0' if it's even.

  3. An XNOR gate is a digital logic gate that outputs true or '1' only when the number of true inputs is even.

  4. For a 4-bit odd parity checker, we need to check the parity of 4 bits of data.

  5. We can do this by using 3 XNOR gates with 2 inputs each.

  6. The first XNOR gate checks the parity of the first two bits, the second XNOR gate checks the parity of the next two bits, and the third XNOR gate checks the parity of the outputs of the first two gates.

  7. This way, if the total number of '1's in the 4-bit data is odd, the output of the third XNOR gate will be '1', indicating odd parity. If the total number of '1's is even, the output will be '0', indicating even parity.

So, the correct answer is c. 3 XNOR Gates with 2 inputs.

This problem has been solved

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