a) Design a logic circuit that check if the binary-coded-decimal number is a prime or not. The output of the circuit is asserted low if the number at the input is prime otherwise it is asserted high. Set up the truth table, minimize and draw the circuit. I b) Design a 4 to 16 decoder using 2 to 4 decoders. +(WXYZ) c) Implement the logic function f(W,X,Y,Z) =(1,3,7,9, 11, 13) using 4:1 MUX and additional logic gates if required