Implementing Boolean Functions with switching lattice networks

Abstract

Four terminal switching network is an alternative structure to realize the logic functions in electronic circuit modeling. This network can be used to implement a Boolean function with less number of switches than the two terminal based CMOS switch. Each switch of the network is driven by a Boolean literal. Any switch is connected to its four neighbors if a literal takes the value 1 , else it is disconnected. In our work, we aimed to develop a technique by which we can find out if any Boolean function can be implemented with a given four-terminal network. It is done using the path of any given lattice network. First, we developed a synthesis tool by which we can create a library of Boolean functions with a given four-terminal switching network and random Boolean literals. This tool can be used to check the output of any lattice network which can also function as a lattice network solver. In the next step, we used the library functions to develop and test our MAPPING tool where the functions were given as input and from the output, we can get the implemented function in four terminal lattice network. Finally, we have proposed a systematic procedure to implement any Boolean function with a efficient way by any given one type of lattice network.