Sunday, 21 November 2010

Logic Gates and Truth Tables

There are many types of logic these are the 6 main ones


AND Gate
The AND gate will have an output (c) of 1 if both of the inputs (a,b) are also 1, otherwise the output will equal 0.
This can been shown in a truth table like this.
A     B     Q or C
0      1     0
0      0     0
1      1     1
1      0     0

OR Gate
The OR gate doesn't need both inputs to be 1 like the AND gate, but only needs one to equal 1 for the output to be 1. If both are 1 then the output remains at 1.
The truth table for an OR Gate is.
A     B      QorC
0      1      1
0      0      0
1      1      1
1      0      1


NOT Gate
A NOT Gate only has one input unlike other gates and its function is to change what ever the input is.
This is shown on its truth table
A     Q
0      1
1      0
The reason why there is no B input is because there is only one input(A)

NAND Gate
The NAND is a mixture of the AND Gate and the NOT Gate. It gives opposite outputs of an AND Gate.
A     B     QorC
0      1      1
0      0      1
1      1      0
1      0      1

NOR Gate
The NOR Gate is a mixture of the OR Gate and the NOT Gate. It swaps every input around to receive the opposite outputs of an OR Gate.
A     B     QorC
0      1      0
0      0      1
1      1      0
1      0      1

XOR Gate
The XOR Gate is similar to the OR Gate but is exclusive, meaning that if both inputs are 1 te output is 0. But if 1 input is 0 then the input is 1.
A     B     Q or C
0      1      1
0      0      0
1      1      0
1      0      1

1 comment:

  1. Good summary - you should also add in the boolean algebra notation

    ReplyDelete