Design a circuit that decrements a four bit binary number. Assume that decrementing 00002(010) should give the output 11112(1510). Use Karnaugh maps for simplification. Show: (i) the truth table(s) (ii) Karnaugh maps ( K maps) for each output function (iii) simplified formulas for each function derived from the K maps (iv) Simulate your design in Logic Works using only NAND gates and inverters (NANDs with ONLY TWO INPUTS). Show one screen shot from Logic Works