In this article we study the digitally quasi comultiplications of the digital wedge products of pointed digital images. After defining a digitally quasi co-H-space and a digital Whitehead product, we develop a method of how to calculate the cardinal number of digital homotopy classes based on the digitally quasi comultiplications of a pointed digital image as a particular case. We also construct a digitally quasi co-H-space as a digital retract of a given digitally quasi co-H-space.