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Digital Logic
Monday 31 October 2016 • 21:50 • 0 comments



LOGIC GATES
1.       AND  

Y = A.B or Y = AB


2.       OR

Y = A + B


3.       NOT

Y = A’ or Y = !A


4.       NAND

Y = (A.B)’


5.       NOR

Y = (A + B)’


6.       XOR

Y = A.B’ + A’.B


COMBINATIONAL CIRCUIT

·         Logic block contains no memory and computes the output given the current input.
·         Can be defined in 3 ways :
¨       Truth Table
¨       Graphical symbols (Logic circuit)
¨       Boolean equations

BOOLEAN EQUATION FORMS
v  The combinations of variables and operators
v  Has one or more inputs
v  Produce an output in the range of 0 or 1
v  Boolean equation can be represented in 2 forms :

Ø  SOP (Sum-Of-Products)
§  Multiply first then Add
§  Only choose the truth output (1)
§  Easier to derive from truth table


Ø  POS (Product-Of-Sums)
§  Add first then Multiply
§  Only choose the false output (0)
§  The output is not the simplified version


LAWS OF BOOLEAN ALGEBRA
2 ways to simplify Boolean equation :
1.       Laws of Boolean Algebra


2.       Karnaugh Map


*Refer Chapter 5*


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