Design a combinational circuit that takes in a binary coded decimal digit as the input and produces two outputs - Output X indicates whether the applied BCD digit is divisible by 2 without any remainder and output Y indicates if the applied BCD digit is divisible by 3 without remainder. Obtain the simplified sum-of-products logic equations for X and Y. Required:
a. Draw the level 0 diagram of the system showing only the inputs and the outputs.
b. Show the Truth table for the above functions C.
c. Using K-maps, show the simplified sum of products expression for X.
d. Using K-maps, show the simplified sum of products expression for Y.