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
Solution
A 4-bit odd parity checker can be implemented using 3 XNOR Gates.
Here's a step-by-step explanation:
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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.
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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.
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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.
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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.
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