Responsible for the deacetylation of lysine residues on the N-terminal part of the core histones (H2A, H2B, H3 and H4). Histone deacetylation plays an important role in transcriptional regulation, cell cycle progression and developmental events. Histone deacetylases act via the formation of large multiprotein complexes (By similarity). H2O + N(6)-acetyl-L-lysyl-[histone] = acetate + L-lysyl-[histone] Expressed after cells enter the multicellular phase upon starvation. Belongs to the histone deacetylase family. HD type 2 subfamily.