Design and implement a digital circuit which will detect a 4 bit number which is less than 3 or greater than 12 or divisible by 3 (if conditions are met, the output is 1, 0 otherwise). Implement the circuit with NAND only logic gate.
I've derived a truth table to it which looks like this:
But in the example that my professor showed in class, he was able to have outputs such as W,X,Y,Z. From there he derived the circuit with the output. I seem to be stuck on the very first step because I am not sure how to translate this truth table to have results in the form of WXYZ. It seems like I only have one end result.
http://en.wikipedia.org/wiki/NAND_logic
Use this for constructing any gate - AND/OR/EXOR etc. As far as your equation goes, it simplifies to A.B + A'B' + A'.B.C.D' + A.B'.C'.D where . refers to AND gate, + refers to OR gate and ' refers to NOT.