Complete Logic Table FALSE TRUE FALSE FALSE TRUE FALSE TRUE

Complete Logic Table FALSE TRUE FALSE FALSE TRUE FALSE TRUE TRUE A s (P&S;) && (PIIS) IS I l False II P

Solution

&& : AND operator give true when both are true

|| : OR Operator results either of the one is true or both true.

^ : XOR operator results true if one is true and another is false

In below table i just used F in place of FALSE and T in place of TRUE just to compact the table

P

S

P&S

P||S

P^S

(P&S)||(P||S)

!S||FALSE|| !P

FALSE

TRUE

F && T = F

F || T = T

F^T = T

(F&&T)||(F||T)=

F||T= T

!T ||FALSE|| !F=

F||FALSE|| T = T

FALSE

FALSE

F && F = F

F||F = F

F^F = F

(F&&F)||(F||F)=

F||F = F

!F ||FALSE|| !F =

T || FALSE||T = T

TRUE

FALSE

T && F = F

T||F = T

T^F = T

(T&&F)||(T||F)=

F||T = T

!F || FALSE || !T =

T || FALSE|| F = t

TRUE

TRUE

T&&T = T

T||T = T

T^T = F

(T&&T)||(T||T)=

T||T = T

!T||FALSE||!T=

F || FALSE || F= F

P	S	P&S	P||S	P^S	(P&S)||(P||S)	!S||FALSE|| !P
FALSE	TRUE	F && T = F	F || T = T	F^T = T	(F&&T)||(F||T)= F||T= T	!T ||FALSE|| !F= F||FALSE|| T = T
FALSE	FALSE	F && F = F	F||F = F	F^F = F	(F&&F)||(F||F)= F||F = F	!F ||FALSE|| !F = T || FALSE||T = T
TRUE	FALSE	T && F = F	T||F = T	T^F = T	(T&&F)||(T||F)= F||T = T	!F || FALSE || !T = T || FALSE|| F = t
TRUE	TRUE	T&&T = T	T||T = T	T^T = F	(T&&T)||(T||T)= T||T = T	!T||FALSE||!T= F || FALSE || F= F