NOVELTY - Method comprises: (a) selectively (310) reacting a first sugar in a mixture which includes at least one second sugar to form a product mixture (320) comprising a product of the first sugar; (b) separating (330) the product of the first sugar from the product mixture; and (c) separating (340) the second sugar from the product mixture.    USE - The method is useful in: a consumer product, a precursor of a consumer product, or an ingredient of a consumer product produced from a conversion product, where the consumer product containing detergent, polyethylene-based products, polypropylene-based products, polyolefin-based products, polylactic acid (polylactide)-based products, polyhydroxyalkanoate-based products or polyacrylic-based products, where the: polyacrylic-based product is plastics, floor polishes, carpets, paints, coatings, adhesives, dispersions, flocculants, elastomers, acrylic glass, absorbent articles, incontinence pads, sanitary napkins, feminine hygiene products or diapers; polyolefin-based products are milk jugs, detergent bottles, margarine tubs, garbage containers, water pipes, absorbent articles, diapers, non-wovens, high density polyethylene (HDPE) toys and HDPE detergent packagings; polypropylene based products are absorbent articles, diapers and non wovens; polylactic acid based products are packaging of agriculture products and of dairy products, plastic bottles, biodegradable products and disposables; polyhydroxyalkanoate based products are packaging of agriculture products, plastic bottles, coated papers, molded or extruded articles, feminine hygiene products, tampon applicators, absorbent articles, disposable nonwovens and wipes, medical surgical garments, adhesives, elastomers, films, coatings, aqueous dispersants, fibers, intermediates of pharmaceuticals and binders; isobutene condensation product, jet fuel, gasoline, gasohol, diesel fuel, drop-in fuel, a diesel fuel additive, and its precursor, where the gasahol is ethanol-enriched gasoline or butanol-enriched gasoline; product comprising diesel fuel, gasoline, jet fuel or drop-in fuels, where the consumer product is ethanol enriched gasoline, jet fuel, or biodiesel (all claimed).    ADVANTAGE - The methods are capable of economically processing the sugar mixture thus achieving a high alcohol concentration which makes it feasible to crystallize sugars that are relatively far from their saturation point.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for:    (1) a method-I comprising selectively reacting a first sugar in a mixture which includes at least one second sugar, to form a product mixture comprising a product of the first sugar, separating the product of the first sugar from the product mixture and reacting (350) the second sugar or at least one second sugar precursor to form at least one second sugar product;    (2) a method-II comprising providing a mixture including a first sugar or at least one second sugar precursor, selectively reacting the first sugar to form a product mixture comprising a product of the first sugar, selectively reacting the second sugar precursor to form the second sugar and separating the product of the first sugar;    (3) a method-III comprising providing a fermentor and fermenting a medium comprising a second sugar to in the fermentor to produce a conversion product;    (4) a method-IV comprising providing an input stream comprising second sugars and the product of the first sugar and converting at least a portion of the input stream to produce a conversion product;    (5) a consumer product, a precursor of a consumer product, or an ingredient of a consumer product comprising at least one conversion product produced by the method, where the conversion product is carboxylic and fatty acids, dicarboxylic acids, hydroxylcarboxylic acids, hydroxyl di-carboxylic acids, hydroxyl-fatty acids, methylglyoxal, mono-, di-, or poly-alcohols, alkanes, alkenes, aromatics, aldehydes, ketones, esters, biopolymers, proteins, peptides, amino acids, vitamins, antibiotics, and pharmaceuticals;    (6) a consumer product comprising an ingredient and an additional ingredient produced from a raw material other than a lignocellulosic material;    (7) a method-V comprising selectively reacting a first sugar in an initial mixture which includes at least one oligosaccharide to form a product mixture comprising a product of the first sugar, producing an oligosaccharide rich sugar fraction with a ratio of at least one of the oligosaccharide to a total sugar concentration greater than a same ratio in the product mixture and hydrolyzing the oligosaccharide rich sugar fraction to produce monomeric sugars;    (8) a method-VI comprising selectively reacting a first sugar in an initial mixture which includes a first sugar and at least one oligosaccharide to form a product mixture comprising a product of the first sugar, separating the product of the first sugar from the product mixture and hydrolyzing the oligosaccharide to produce additional first sugar;    (9) a method-VII comprising fermenting glucose in a portion of an initial mixture which includes at least one additional monomeric sugar and at least one oligosaccharide to form a product mixture comprising ethanol and using ethanol to aid in crystallization of at least one non-glucose sugar in the product mixture;    (10) a system comprising a fermentor adapted to deliver a stream of spent media to a separation unit, separation unit adapted to separate solids from the spent media and deliver a supernatant stream, a still adapted to distill an alcohol from the supernatant stream to produce a modified supernatant, a primary crystallization module adapted to receive at least a portion of the alcohol from the distillation unit and crystallize at least one sugar from the modified supernatant to produce a mother liquor; and    (11) a sugar composition comprising at least 25 wt.% of xylose relative to total sugar concentration, at least one alpha-bonded di-glucose and at least one beta-bonded di-glucose or at least 60 wt.% xylose, at least 100 ppb of a marker molecule and 0.001-10 wt.% of oligosaccharides.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic representation of methods for processing sugar mixtures.    Selectively reacting first sugar in initial mixture containing at least one second sugar (310)    Product mixture with product of first sugar (320)    Separating product of first sugar from product mixture (330)    Separating at least one second sugar from product mixture (340)    Reacting precursor to produce second sugar. (350)