NOVELTY - Co-producing pulp and hemicellulosic sugars from biomass, involves digesting lignocellulosic biomass comprising cellulose, hemicellulose, and lignin in the presence of steam and/or hot water to extract hemicellulose into a liquid phase, to generate extracted solids; washing the extracted solids to generate a liquid wash filtrate and washed solids; separating liquid wash filtrate; refining the washed solids at a refining pH of greater than or equal to 4 to generate pulp; and hydrolyzing the hemicellulose in the liquid phase in the presence of a hydrolysis catalyst, to generate hemicellulosic sugars.    USE - For co-producing pulp and hemicellulosic sugars from biomass (claimed).    ADVANTAGE - The method is economical method; minimizes cooling water requirements; increases yield of pulp; recovers hemicellulose which may be converted to value-added products; removes chemicals from the pulping process; eliminates chemical-recovery plant operations; reduces number of evaporation stages required; and reduces environmental footprint.    DETAILED DESCRIPTION - Co-producing pulp and hemicellulosic sugars from biomass, involves a) providing lignocellulosic biomass comprising cellulose, hemicellulose, and lignin; b) digesting the biomass in the presence of steam and/or hot water to extract at least a portion of the hemicellulose into a liquid phase, to generate extracted solids; c) optionally separating at least some of the liquid phase from the extracted solids; d) washing the extracted solids with water at a washing pH of less than or equal to 7 to generate a liquid wash filtrate and washed solids; e) separating at least some of the liquid wash filtrate from the washed solids; f) optionally further digesting the extracted solids and/or the washed solids using a chemical pulping method, to generate digested solids; g) refining the washed solids at a refining pH of greater than or equal to 4 to generate pulp; and h) hydrolyzing the hemicellulose contained in the liquid phase and/or in the liquid wash filtrate, in the presence of a hydrolysis catalyst, to generate hemicellulosic sugars.