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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

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

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Solution

A 4-bit odd parity checker can be implemented using 3 XNOR Gates.

Here's a step-by-step explanation:

  1. The first step in creating a 4-bit odd parity checker is to understand what an odd parity checker does. It checks the number of 1s in a binary number. If the number of 1s is odd, the parity bit is set to 0. If the number of 1s is even, the parity bit is set to 1.

  2. The XNOR gate is used in this process because it outputs a 1 when the number of 1s at its input is even, and a 0 when the number of 1s is odd.

  3. To create a 4-bit odd parity checker, you would need to connect the outputs of three 2-input XNOR gates together. The first XNOR gate would take the first two bits of the 4-bit binary number as input. The second XNOR gate would take the output of the first XNOR gate and the third bit of the 4-bit binary number as input. The third XNOR gate would take the output of the second XNOR gate and the fourth bit of the 4-bit binary number as input.

  4. The output of the third XNOR gate would then be the parity bit of the 4-bit binary number. If the output is 1, the number of 1s in the 4-bit binary number is even. If the output is 0, the number of 1s in the 4-bit binary number is odd.

So, the correct answer is c. 3 XNOR Gates.

This problem has been solved

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