A parameter of a digital camera or other digital image acquisition device is adjusted to maintain the resulting digital signal within a range carried by a digital processing path that carries a limited number of bits. The magnitude of the parameter is then also used to represent the image. Examples of the parameter include analog signal gain and exposure time. This is a cost effective way to increase the dynamic range of a digital camera, instead of increasing the width of its digital processing path. The digital data may be processed to obtain either tone mapped images, which are compatible with current cameras and other equipment, or to obtain images with a greater dynamic range for use with suitable displays and the like.