1. Draw the circuit diagram for the functions below with the don't care conditions. a. F=ABC+ABD+ABCD with don't cares at ABC and ABD b. F=(A+D)(A+B)(A+C) with don't cares at BD,BC and ABCD c. F=BD+BC+ABCD with don't cares at ABD and ABCD 2. Simplify the following functions using the don't care conditions given. a. F=y+xz with don' t cares at yz and xy b. F=BCD+BCD+ABCD with don't cares at BCD and ABCD 3. Derive the truth table for the circuit shown below