please solve all the 3 parts of each question

solve all the sub-questions also

i will give thumbs up

Simplify the Boolean expressions below as much as you can (i.e., the minimum number of literals) 1) (CD+A)+A+CD+BA 2) (A+C)(A+B+C) PART 2 Write Boolean expressions from the circuits below. Then, please simplify your Boolean expression Construct the truth table to describe the outputs of the circuits above Notice 1: You should include all the input combinations (with A, B, and C) in the truth table. Notice 2: A is the most significant bit. PART 3 Design a combinational circuit with three inputs, x,y, and z, and three outputs, A,B, and C. When the binary input is 0,1,2, or 3 , the binary output is one greater than the input. When the binary input is 4,5,6, or 7 , the binary output is two less than the input. a. Derive the truth table b. b. Derive the simplified Boolean expressions from the truth table c. Notice 1: Apply the mintermss only (DO NOT USE K-map)! d. Notice 2: For the case of B, its expression should include an XOR gate! e. c. Draw the logic diagram for only C using its simplified Boolean expression