6a) 15 marks find a function to detect an erroc in the representation of a decimal digit in Binary Code Decimal (BCD). in other words. write an equation with value t when the inputs are any one of the six inured bit combinations in the 8CD code, and value 0 othermise: 0eries in ECD representation, ereiy decinal digit is represented as tollows 00000,10001,20010,30011,40100,50101,6 0110,70111,81000,91001 - (b) [3 marks] Suppose that we have three bihary vartables X, Y, and Z for a full adder circuit. Y ind Z are added by considering X as the provous cary, Vartutes s and Care used to store the resultant sum and the carry. Write down the truth tabie for the full adder circut