Define the xor gate - microprocessor, Electrical Engineering

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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.

1937_Define the XOR GATE - Microprocessor 1.png

The truth table for a 2-input XOR gate is shown underneath.

X INPUT 

Y INPUT

OUTPUT 

0

0

0

0

1

1

1

0

1

1

1

0

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.

272_Define the XOR GATE - Microprocessor 2.png


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