In this paper we present an alkaline-based deinking chemistry (coded HPMA), which facilitates deinking of digital as well as conventional print media. The novel method presented here, HPMA, uses traditional alkaline deinking chemicals including sodium hydroxide and sodium silicate, but with the substitution of a readily-available emulsifier, a non-ionic surfactant, for the traditional fatty acid. The chemistry is based on methodical structural-physical understanding of properties of digital inks applied to deinking chemicals and deinking processes, to achieve high-quality deinked pulps at lab scale. The resultant chemical composition serves effectively as a release agent for the ink from the paper fibers and a collecting agent to agglomerate the particles to achieve ink particulates with the desired size range and provides the desired interfacial interaction with the foam for eventual removal during the flotation. High quality deinked pulps of HP-Indigo ElectroInks, HP Inkjet pigment/dye-based inks and HP dry toners were successfully obtained via HPMA. Similarly good results were obtained for traditional offset inks and mixed office waste with HPMA, suggesting the generic nature of our deinking chemistry.