An exclusive NOR gate is logically equal to*Inverter followed by an XOR gateNOT gate followed by an exclusive XOR gateExclusive OR gate followed by an inverterThe complement of a NOR gate
Question
An exclusive NOR gate is logically equal to*Inverter followed by an XOR gateNOT gate followed by an exclusive XOR gateExclusive OR gate followed by an inverterThe complement of a NOR gate
Solution
An exclusive NOR gate is logically equal to an Exclusive OR gate followed by an inverter.
Here's the step by step explanation:
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An XOR (Exclusive OR) gate gives an output of 1 if the number of 1's inputs is odd. Otherwise, it gives an output of 0.
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An inverter, also known as a NOT gate, simply inverts the input. If the input is 1, the output is 0, and vice versa.
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Therefore, if you follow an XOR gate with an inverter, you get an XNOR (Exclusive NOR) gate. This is because the inverter will flip the output of the XOR gate. So, if the XOR gate outputs a 1, the inverter will change it to a 0, and vice versa. This is exactly how an XNOR gate behaves - it outputs a 1 if the number of 1's inputs is even, and 0 otherwise.
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