(a) Convert the Gray number (11001)G into Binary, then convert the Binary number into Decimal and then into BCD code. Show all the steps. (b) Using Boolean Algebra, reduce the following term: F = XY + XY + XZ (5 marks) (4 marks) (c) In VHDL, explain what happens in case of "null configuration". (5 marks) (d) Using K-map, find a minimal sum of products expression for the following logic function, indicate the distinguished 1-cells. (5 marks) F(A.B.C.D) I(1,3,6,9,11,12,14) + d(4, 8), where d is a don't care condition. (e) Using ONLY NOR gate, reconstruct the circuit F = XY+Z (6 marks)