(1) Create a truth table for the following logical statement, showing all eight possible combinations of the three variables A, B, and C. (25 pts.) ((A XOR B) NOR !C) AND ((B NAND C) OR :A) (2) Use truth tables for the three following logical statements, and then state which of the basic logical statements (AND, OR, NOT, XOR, NAND, NOR, XNOR) is equivalent with it. Don't forget to spot the NOT (!) symbols. (8 pts. Each) (2.1)!(!A OR !B) (2.2) ((A AND !B) OR (!A AND A)) OR (B AND !A) (2.3) (A NOR B) NAND (B NOR A) (3) Write out the logical statement that matches the following logical circuit. (25 pts.) (4) Using ONLY NAND, create a logical GATE DIAGRAM equivalent to the one given. NOTE: You are allowed to use ' T ' and ' F ' in addition to ' A ' and ' B ', to say a given input is ALWAYS true or ALWAYS false. (26 pts.) (A AND B) OR !B