1) Design a logic circuit that have three inputs & one output that will apply to the following conditions: Output will equal to input when inputs (A & B) are the same Output will equal to input (C) when inputs (A & B) are different 2) Simplify the following output equations by using (K-map) method: a) X-ABC+ABC+ABC+ABC+ABC b) X-ABCD+ABCD+ABCD+ABCD+ABCD+ABCD +ABCD+ABCD+ABCD 3) Draw the K-map that will produce the following output equations: a) X-B+ AD + ACD b) X= BD + AD + ABC + ABC 4) Design the logic circuit corresponding to the following truth table and prove that the answer will be the same by using (sum of product) & (product of sum) & (K-map): A B 0 OOOO! 0 1 0 1 X 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1