Question 2: a) Suppose a combinational circuit accepts a 3-bit binary number and generate a 4-bit binary output by adding five (5) with the input number (e.g. if input is 101 the output is 1010). i. Give the truth table ii. Write the output expression in SOP form iii. Design the circuit. b) Simplify the following function with K-map f(W,X,Y,Z)=m(2,3,5,6,7,9,11,13)+d(10,12,14,15) i. Implement it with basic logic gates. ii. Implement it with only NAND gates. Implement it with only NOR gates