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Define the XOR GATE - Microprocessor?
The XOR GATE is a alike to an OR gate except for the instance when all the inputs are high. With a XOR gate when all the inputs are high the output will be low. In an OR gate the output would be high if all the inputs were high.
The output Q is true if either input A is true OR input B is true, however not when both of them are true: Q = (A AND NOT B) OR (B AND NOT A). This is like the OR gate but excluding both inputs being true. The output is true if inputs A and B are DIFFERENT. The Boolean and symbol expression for a 2-input XOR gate is shown below.
The truth table for a 2-input XOR gate is shown underneath.
X INPUT
Y INPUT
OUTPUT
0
1
The XOR gate is used often in mathematical circuits. An illustration of the use of a XOR gate is in the half-adder circuit. If any input is high the output of the half-adder needs to be high but if both inputs are high the output needs to be low and a carry out needs to be generated. The half-adder circuit is shown underneath.
(a) Show the equivalent NOR realizations of the basic NOT, OR, and AND gates. (b) Show the equivalent NAND realization of the basic NOT, AND, and OR gates.
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