3. Design and implement a digital circuit which will detect a 4 bit unsigned number (input signals are w,x,y z with 'w representing MSB) which is less than 3 or greater than 12 or divisible by 3, i.e. if these conditions are met, the output (OUT) is 1, 0 otherwise. Implement the circuit with NAND only logic gate. You can assume multi-input NAND gate is available (i.e. 2 or more input pins as you need). You need to show the schematic diagram for the final logic circuit along with all the steps to derive the logic equation of the implemented circuit. [30pts]