One method of generating synthetic or computer-generated holograms is to first compute the Discrete Fourier Transform (DFT) of the desired image. The hologram is then formed by coding in some manner on photographic film the complex values of this DFT. This paper describes a method for generating synthetic binary holograms that avoids the necessity for computing the DFT of the desired image. The relationship between this new method and previously used techniques is discussed. An analogous method for generating kinoforms that does not require the calculation of the DFT is also described.