Functional group of sugars are
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It rather depends on whether you mean sugars in general or, specifically, common or table sugar. The latter is sucrose (α-D-glucopyranosyl-(1→2)-β-D-fructofuranoside) which is comprised of a molecule of glucose linked to a molecule of fructose.The glucose ring is produced by formation of an intramolecular hemiacetal and the fructose ring by formation of an intramolecular hemiketal. The two rings are joined in the disaccharide through an acetal or glycosidc link. Both monosaccharides are joined through their potential reducing centres (C1 on glucose and C2 on fructose) so neither can undergo ring opening (unless the disaccharide link is hydrolysed) to expose the aldehydic or ketonic function and sucrose is a non-reducing sugar. The only remaining functional groups are then the primary and secondary alcoholic groups.
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