Truth Table For 4 Variables
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Truth Table For 4 Variables
A truth table is a splitting up of a logic function in which we make a list of each and
every one of the probable values the function can arrive at. A truth table
characteristically consists of a number of columns and rows (similar to a simple
table), in which the uppermost row corresponds to the logical variables (and
sometimes their combinations), in proliferating complications set up to reach the final
function.
In representational logic, we frequently use letters to symbolize statements and the
below  mentioned symbols to stand for the connectives.
Symbol
Connective
Symbol
Connective
NOT (Negation)
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AND (Logical conjunction)
OR (Logical disjunction)
If ... Then (Conditional)
If and only if (Bi  conditional)
We represent the values of a logic function with 1 and 0 or true (or T) and false (or F).
Please note that we can use the notation 1 for either the truth  value or the false
value. However, by convention, we use it as a truth  value. To understand the
concept of truth table, let us draw a truth table for the negation function.
A
A
T
F
F
T
This means that if the value of a statement is true, then its negation will be its false
value and vice versa. A simply means not A.
Logical conjunction and disjunction operations are of vital importance in discrete
mathematics. Logical AND operation between two variables implies that the output
value is true only when all the values are true otherwise it is false. The truth table of A
B is given below.
A
B
A B
T
T
T
T
F
F
F
T
F
F
F
F
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Logical OR operation between two variables implies that the output value is true
whenever one of the input values are true otherwise it is false. The truth table of A
B is given below.
A
B
A B
T
T
T
T
F
T
F
T
T
F
F
F
The conditional statement A B is similar to the function (NOT A) OR B.
A
B
A
A B
= A B
T
T
F
T
T
F
F
F
F
T
T
T
F
F
T
T
From the above truth table, we can note that we can form combinations to deduce
complex logical functions' truth tables. Bi  conditional logical operator symbolizes the
true value when the input value of both the statements is true. The truth table for A
B is given below:
Tut
Tu o
t rc
r i
c rc
r l
c e
l .
e c
. o
c m
Pa
P ge
g
e No
N ..::2/
3 3
/4
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