Fungi are eukaryotic microorganisms, however unlike other eukaryotes. Their cell wall is made up of chitin instead of cellulose.
Chitin is a fibrous polysaccharide found in the exoskeleton of arthropods and the cell wall of fungi. where as cellulose is also a polysaccharide which is an important structural component of plant cell wall.
Since fungi are saprophytic they produce enzymes such as cellulases that will help in breakdown of cellulose for food.