Sunday, 20 January 2013

Logic Gates

LOGIC GATES.
Logic gates : are very small electronic decision- making hardware devices that are fed one or more inputs and give back one output.
There are three basic logic :
o The NOT gate
o The AND gate
o The OR gate

Thruth table : is used to define the output of a logic gate or a logic circuit for all possible combinations of input.

Boolean expressions
A NOT gate with INPUT X and OUTPUT Z : Z= NOT X ; Z= X
The OR gate with INPUT X & Y and OUTPUT Z : Z= X OR Y ; Z= X +Y
An AND gate with INPUT X & Y and OUTPUT Z : Z = X and Y ; Z= X . Y

NOTE : the combinations relay on the inputs eg. 2 inputs -> 4 combinations

Building the truth table for logic circuit
First, you need to ask these two questions :
o How many inputs does the circuit have?
o Hence how many input combinations of the circuit are ?.

example :


  A                      B
                  C
                   D
  0                      0
                  1 
                   0
  0                      1
                  1
                   1
  1                      0
                  0
                   0
  1                      1
                  0
                   0