Completing The Truth Table

                     Lesson 1

 

                                                            Problem:     Complete the Truth Table for: H ^ J

H

J

H ^ J

T

F

F

F

F

F

                                                                                    

                                                         Solution        If the original is true, the  ~ statement is false, and if the  original is false, the  ~ statement is true.

                                                            Step 1:                     

                                                            

                                                            Solution        In truth table original of ~P is true, than ~P is false.

Step 2:                                                                                                       

                            

                                                            Solution        Statement “^” symbolizes logical conjunction;

Step 3:             a compound     statement formed with this connective is true only if both of the

 component statements between which it occurs are true.                                                     

 

                                                            Solution     In truth table the original component statements between

                                                            Step 4:         which it occurs are true, than the statement is true.                                

Complete    

 

                                                            Try two practice problems:  

 

                                                            

A

V

   X

V

^X

F

F

F

F

B

T

D

T^D

F

T

F

 

 

 

 

 

 

 

 

 

 

 

 

 

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