1. For the following circuit, find the output. Simplify the circuit if possible. 2. Draw the circuit for the following equations. a. AB+CD b. WX+WYX+ZYX c. ABC+EF+DEF 3. Prove the following equations using truth tables: a. (X+Y)(X+Z)=XZ+XY b. (X+Y)(Y+Z)(X+Z)=(X+Y)(X+Z) C. (A+C)(AB+C)=AB+AC