Systems and methods for allowing analog Ising machines to be able to run Integer Linear Programming (“ILP”) problems, i.e. a compilation method for setting the state of the physical memory units, flexible to be adapted to each specific device. The method describes how variables and numeric parameters which specify the problem can be hard-coded (embedded and physically represented) in the hardware circuitry of the device in a deterministic way, with a pre-determined bound on the number of required physical spins to be used in the Ising device.