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Q = A B C = ABC + A’B’C + A’BC’ + AB’C’. For XOR gates, we can have the HIGH input when odd numbers of inputs are at HIGH level.
The output of an XOR gate is true only when exactly one of its inputs is true.
It implements the function of equality. An XOR gate (sometimes referred to by its extended name, Exclusive OR gate) is a digital logic gate with two or more inputs and one output that performs exclusive disjunction. Symbol and Truth Table of XOR gate. The Boolean function for the 3- input XOR gate is. The output is True only if the input’s logic are same i.e. There are three schematic symbols for XOR gates: the traditional ANSI and DIN symbols and the IEC symbol. The Boolean expression representing the 2 input XOR gate is written as $$Y=(A\bigoplus B)=\bar{A}.B +A.\bar{B}$$

3-Input Ex-OR gate logic symbol. It can be denoted as The Truth Table of 2 input XOR gate. The XNOR Gate also known as Exclusive NOR Gate, is an invert of XOR gate. Truth table of 3 input xor gate. the output is HIGH only when all the inputs are “HIGH” or “LOW” In some cases, the DIN symbol is used with ⊕ instead of ≢. For more information see Logic Gate Symbols. In Boolean expression, the term XNOR is represented by symbol (⊙) and the Boolean expression is represented as Y = A ⊙ B.

The truth table and logic symbol for 3-input XOR gate is given below. It is read as “A xor B”. In Boolean expression, the term XOR is represented by symbol (⊕) and the Boolean expression is represented as Y = A ⊕ B. The Exclusive OR gate gives an output only if its two inputs are dissimilar, namely if one of them is high (one) and the other is low (zero). The logic symbol of XOR gate is shown in figure 1. It is read as “A xnor B”. XOR gate symbol.

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