Assignment Description: Design a one-bit half adder/subtractor circuit. In this circuit, the input variables a and b are two input bits of the operation and the input variable c is used to select addition/subtraction operation. If c=1 then the circuit will operate as an adder (a+b) if it is equal to 0 it will operate as a subtractor (ab). The output bit x respresents the result of the operation and output bit y is carry of borrow with respect to operation selection. Design Steps: 1.) Fill up the following truth table (20 points) 2.) Express the Boolean functions x(a,b,c) and y(a,b,c) with respect to SOP. (15 points) 3.) Express the Boolean functions x(a,b,c) and y(a,b,c) with respect to POS. (15 points) 4.) Considering x(a,b,c) and y(a,b,c) obtained in (2.) , draw the schematic of the logical circuit using 2-input AND, 2-input OR and NOT gates only. (25 points) 5.) Draw the schematic of the circuit obtained in (4.) using CMOS transistors. (25 points) Example: 2-input NOR gate schematic using CMOS transistors