Truth tables | Readstall

Truth tables

04-02-19 Himaja G 0 comment

 

Problems on truth tables:

Construct truth table for:

1.(PQ) (QR)

P Q R (PQ) (QR)

 

(PQ) (QR)

 

T T T T T T
T T F T F F
T F T F T F
T F F F T F
F T T T T T
F T F T F F
F F T T T T
F F F T T T

 

2.~((P∧Q) ∨ (Q∧R))

P Q R P∧Q Q∧R (P∧Q) ∨ (Q∧R) ~((P∧Q) ∨ (Q∧R))

 

T T T T T T F
T T F T F T F
T F T F F F T
T F F F F F T
F T T F T T F
F T F F F F T
F F T F F F T
F F F F F F T

 

 

3.((PQ) (QR)) (PR)

P Q R PQ QR (PQ) (QR) PR ((PQ) (QR)) (PR)

 

T T T T T T T T
T T F T F F F T
T F T F T F T T
T F F F T F F T
F T T T T T T T
F T F T F F T T
F F T T T T T T
F F F T T T T T

 

 

4.((PQ) (~PQ))

P Q ~P PQ ~PQ

 

((PQ) (~PQ))

 

T T F T T T
T F F T F T
F T T T T T
F F T F T T

 5.( ~P∧Q) ∨ (~Q∧R)

P Q R ~P ~Q ~P∧Q ~Q∧R  

(~P∧Q) ∨ (~Q∧R)

 

T T T F F F F F
T T F F F F F F
T F T F T F T T
T F F F T F F F
F T T T F T F T
F T F T F T F T
F F T T T F T T
F F F T T F F F

 

6.(AB) ⇔( (AB) (~A∧~B))

A B AB ~A ~B (~A∧~B) (AB)  (AB)(~A∧~B) (AB)⇔((AB) (~A∧~B))
T T T F F F T T T
T F F F T F F F T
F T F T F F F F T
F F F T T T T T T

7.~(P(QR)) ((PQ) (PR))

P Q R PQ PR QR P(QR) ~(P(QR)) (PQ)(PR)

 

~(P(QR))((PQ)(PR))

 

T T T T T T T F T F
T T F T T F T F T F
T F T T T F T F T F
T F F T T F T F T F
F T T T T T T F T F
F T F T F F F T F F
F F T F T F F T F F
F F F F F F F T F F

 

8.(P∧~Q) ∨ (~P∧~Q)

P Q ~P ~Q P∧~Q (~P∧~Q)    

 

(P∧~Q) ∨ (~P∧~Q)

 

T T F F F F F
T F F T T F T
F T T F F F F
F F T T F T T

 

 

 

 

 



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