Design a circuit which has 4 inputs w, x, y, z and an output F . If 4-bits input value is“ odd number which is higher than 4”, or“3-bits highest even number”or“4-bits highest even number” , the output function F will be equal to 1. Otherwise F=0. Each students have to design the circuit and have to do following steps own by own.
You are going to;

a) Fill the truth table according to your design.

b) Find the simplified AND-OR expression (Sum of Product) by using 4-variable K-map.

c) Draw the logic diagram of the simplified function by using 2-input-NAND gates.