Discussion
The output of an XNOR gate is HIGH when both of its inputs are the same.
Answer: B
Correct answer: True
The statement is true. XNOR - exclusive NOR - gives 1 when its inputs are equal and 0 when they differ, which is the complement of XOR. Its truth table runs: 0,0 gives 1; 0,1 gives 0; 1,0 gives 0; 1,1 gives 1. For that reason it is also called the equivalence or coincidence gate, and its Boolean expression is \( AB + \bar{A}\bar{B} \). Its natural application is comparison. A chain of XNOR gates, one per bit pair, with their outputs ANDed together, forms an equality comparator: the result is 1 only if every bit matches. XOR does the opposite job and is used for parity generation and checking, since its output tells whether the number of 1s is odd. A useful identity: \( A \odot B = \overline{A \oplus B} \), so an XNOR is simply an XOR followed by an inverter, and the bubble on the symbol shows exactly that.
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