If `(A+o+B)^^(~A ThetaB)=A^^B` what should be proper symbol in place of `o+` and `Theta` to hold the equation (a) `^^` and `vv` (b) `^^` and `^^` (c) `vv` and `vv` (d) `vv` and `^^`

If (Ao+B)^^(~A ThetaB)=A^^B what should be proper symbol in place of o+ and Theta to hold the equation (a) ^^ and vv (b) ^^ and ^^ (c) vv and vv (d) vv and ^^

The negation of A to (A vv ~ B) is

The negation of A to (A vv ~ B) is

Let p, q, r be three simple statements. Then, ~(p vv q) vv ~ (p vv r) is equal to a) (~p) ^^ (~q vv ~ r) b) (~p) ^^ (q ^^ r) c) p ^^ (q vv r) d) p vv (q ^^ r)

By constructing truth table, prove the following pairs of compound statement have identical truth value. A vv (B ^^ C) and (A vv B) ^^ (A vv C)

By constructing truth table, prove the following pairs of compound statement have identical truth value. A^^B(B vv C) and (A ^^ B) vv (A ^^ C)

(p ^^ ~ q)vv q is logical equivalent to (a) p vv q (b) ~P (c) p (d) ~q

~[(~p) ^^q] is logically equivalent to a) ~ (p vv q) b) ~ [p ^^ (~q)] c) p ^^ (~q) d) p vv (~q)

Let p:57 is an odd prime number, q : 4 is a divisor of 12, r : 15 is the LCM of 3 and 5 be three simple logical statements. Which one of the following is true ? a) p vv (~ q ^^ r) b) ~p vv (q ^^ r) c) (p ^^ q) vv ~ r d) (p vv q) ^^ ~r

By constructing truth table, prove the following pairs of compound statement have identical truth value. ~( A ^^ B ) and ~A vv ~B