Design a digital circuit, based on the following truth table, which has three inputs, A, B, and C, and two outputs X and Y. A B C Y 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 a- Work out the logical expressions for X and Y respectively in terms of the reverse engineering approach, and simplify them using minimal NOT(-), AND (W) and OR (V) operators. b- Draw the circuit diagram based on the result in (a). Use NOT, AND and OR logical gates only. C- Finish the HDL script for the circuit diagram in (b). Use Not(in,out), And(a,b,out) and Or(about), the three pre-defined gates. CHIP Circuit { IN a,b,s; OUT_XX; PARTS