Design a logic circuit that has fourinput variables(W, X,Y, Z)and one output variable(F). Threof the input variables represent Octaldigits(X, Y,Z), and the fourthis a control line(W). While the control line is at logic 1, the output should be logic 1 only if the Octaldigit is greater than or equal to 3, otherwise the output should be logic 0.Further, while the control line is logic 0, the output should be logic 1 only if the Octaldigit is less than or equal to 4, otherwise the output should be logic 0. Simplify the output function Fusing K-map and implement the logic circuit using only a minimum number of NAND gates.