Logic gate

Logic gates are the basic building blocks of any digital system. It is an electronic circuit having one or more than one input and only one output. The relationship between the input and the output is based on certain logic. Based on this, logic gates are named as AND gate, OR gate, NOT gate etc.

There are basically seven types of logic gates, lets discuss about them

1.   NOT Gate

2.   AND Gate

3.   NAND Gate

4.   OR Gate

5.   NOR Gate

6.   X-OR Gate

7.   X-NOR Gate

 

NOT Gate

A NOT gate provides a low output when the input is high and high output when the input is low. Because of producing an opposite output as compared to input it is also known as an Inverter.


Inverting NOT gates are single input devices which have an output level that is normally at logic level “1” and goes “LOW” to a logic level “0” when its single input is at logic level “1”, in other words it “inverts” (complements) its input signal. The output from a NOT gate only returns “HIGH” again when its input is at logic level “0” giving us the Boolean expression of:  A = Q.

 

AND Gate



An AND gate is a digital logic gate with two or more inputs and one output that performs logical conjunction. The output of an AND gate is high only when all of the inputs are high. If one or more of an AND gate's inputs are low, then the output of the AND gate will be low.

 

NAND Gate



In digital electronics, a NAND gate (NOT-AND) is a logic gate which produces an output which is low only if all its inputs are high; thus its output is complement to that of an AND gate. A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), the result will be a HIGH (1) output. NAND gate is inverse of AND gate.

 

OR Gate


An OR gate is a digital logic gate with two or more inputs and one output that performs 
logical disjunction. The output of an OR gate is high when one or more of its inputs are high. If all of an OR gate's inputs are low, then the output of the OR gate is low.

 

NOR Gate



The NOR gate is a digital logic gate that implements logical NOR operation. A HIGH output (1) results if both the inputs to the gate are LOW (0); if one or both input is HIGH (1), a LOW output (0) is observed. NOR is the result of the negation of the OR operator.

 

X-OR Gate



XOR gate (sometimes EOR, or EXOR and pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or; that is, a true output results if one, and only one, of the inputs to the gate is true. If both inputs are false (0/LOW) or both are true, a false output results. XOR represents the inequality function, i.e., the output is true if the inputs are not alike otherwise the output is false. A way to remember XOR is "must have one or the other but not both".

 

X-NOR gate



The XNOR gate (sometimes ENOR, EXNOR or NXOR and pronounced as Exclusive NOR) is a digital logic gate whose function is the logical complement of the Exclusive OR (XOR) gate. The two-input version implements logical equality, behaving according to the truth table to the right, and hence the gate is sometimes called an "equivalence gate". A high output (1) results if both of the inputs to the gate are the same. If one but not both inputs are high (1), a low output (0) results.

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