Consider the NAND operator 1, which is defined as follows ptas-( pq). (1) (3 points) Using truth tables show that A is associative, i.e., p A (Ar) = ( pq) Ar. pla|-|(nr) (p^ (g ^r)) (png)| ((png) ^r) | (p^ (qr)) + ((p^g) ^r). is not associative, (2) (4 points) Using truth tables show that i.e., pt (fr) (pt) fr