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Logic Gates

NOT

 The NOT gate is an electronic circuit that produces an inverted version of the input at its output.  It is also known as an inverter.  If the input variable is A, the inverted output is known as NOT A.  This is also shown as A', or A with a bar over the top, as shown at the outputs. The diagrams below show two ways that the NAND logic gate can be configured to produce a NOT gate. It can also be done using NOR logic gates in the same way.

nottruthtable notlogicgate

AND

The AND gate is an electronic circuit that gives a high output (1) only if all its inputs are high.  A dot (.) is used to show the AND operation i.e. A.B.  Keep in mind that this dot is sometimes omitted i.e. AB

andtruthtable andlogicgate
OR

The OR gate is an electronic circuit that gives a high output (1) if one or more of its inputs are high.  A plus (+) is used to show the OR operation
ortruthtable orlogicgate

NAND

The outputs of all NAND gates are high if any of the inputs are low. The symbol is an AND gate with a small circle on the output. The small circle represents inversion.

nandtruthtable nandlogicgate

NOR

This is a NOT-OR gate which is equal to an OR gate followed by a NOT gate.  The outputs of all NOR gates are low if any of the inputs are high. The symbol is an OR gate with a small circle on the output. The small circle represents inversion.

nortruthtable norlogicgate

XOR

The XOR gate acts in the same way as the logical "either/or." The output is "true" if either, but not both, of the inputs are "true." The output is "false" if both inputs are "false" or if both inputs are "true." Another way of looking at this circuit is to observe that the output is 1 if the inputs are different, but 0 if the inputs are the same.
xortruthtable xorlogicgate
   

Links

1.            Wikipedia on Logic Gates

https://en.wikipedia.org/wiki/Logic_gate

 

2.           Logic Gates Simulator Software

https://www.kolls.net/gatesim/

 

Downloads

1.            Logic Gates worksheet

2.            Logic Gates presentation