The usage of wired logic reduces the network cost and possibly improves the speed due to shorter delays on wired logic than on a gate. In this paper, the authors discuss some properties of networks with nor gates and wired-and (or wired-or) gates. Some of these properties are used in developing synthesis procedures of optimum networks by the integer programming logic design method. Since very few papers were published on designing networks with wired logic, this paper should be of interest to logic designers.