TOPIC 2 : DIGITAL LOGIC (TRUTH TABLE AND GRAPHICAL SYMBOL FOR COMBINATION LOGIC GATES) --- (SIM YEE YEE)
TRUTH TABLE
Ø
A truth table is a mathematical table used
in logic.
Ø
A truth table at
least contain 3 column for the basic logic gates except NOT GATE :
·
2 for input
variables such as A and B, the last column of the truth table is the output of
the logical operation
·
NOT GATE only
contain 2 column which is 1 for input , another is output
Ø We
can understand about the behaviour of logic gates and the combination of logic
gates.
GRAPHICAL SYMBOLS
Ø Graphical symbols are used to show the different type
of logical functions. The inputs are placed on the left and the output is
placed on the right of the gate symbol .
Below are the truth table
and graphical symbol for the combination logic gates :
TRUTH TABLE AND GRAPHICAL
SYMBOL FOR COMBINATION GATES :
EXAMPLES :
- A’B + AB’
INPUT
|
OUTPUT
|
|||
A
|
B
|
A’B
|
AB’
|
A’B + AB’
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
0
|
2. AB + CD
INPUT
|
OUTPUT
|
|||||
A
|
B
|
C
|
D
|
AB
|
CD
|
AB + CD
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
3. A’B(C + D )
INPUT
|
OUTPUT
|
|||||
A
|
B
|
C
|
D
|
A’B
|
C+D
|
AB ( C+D)
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
1
|
0
|
4. AB + A’B +
A’BC
INPUT
|
OUTPUT
|
|||||
A
|
B
|
C
|
AB
|
A’B
|
A’BC
|
AB + A’B + A’BC
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
1
|
1
|
0
|
0
|
1
|
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