A process for the production of books (22, 72) with digital printing on a continuous paper strip (23, 71, 87), in which said strip defines book sections in sequence, each book section (32, 73; 88, 89; 91, 93) is associated to a book (22, 72) and includes a number of signature groups (33, 74; 92, 94), each signature group formed with a given number of basic sheets (34, 76) of the book, and in which said process employs a system for manufacturing books comprising a transversal cutting equipment, in which the strip is transversally cut with respect to its longitudinal direction for separating the signature groups as signature sheets (42, 77; 101, 102), a longitudinal folding equipment, in which sheets of signature are longitudinally folded, forming respective signatures (48, 82; 107, 108) preparatory to a basic book block (53, 84; 112, 113), a perforating equipment for perforating the strip in weakening lines provided for the folds wherein the perforating equipment is provided for perforating the paper strip longitudinally, characterized by the fact that the system for manufacturing books further comprises a transversal folding equipment, in which the signature sheets (42, 77; 101, 102) are transversally folded, while the perforating equipment is provided for perforating the paper strip also transversally, and in which the said process comprises the following steps: a) identifying in said book section (32, 73; 88, 89; 91, 93) sheet sections (35, 75, 96, 97) formed by side by side basic sheets (34, 76), separable from the strip through a single cut, and a reduced signature group (59, 78; 98,99) including a number of sheet sections having at least a page with text and/or figures, for a book in which the part regarding a last signature group has at least a sheet section devoid of text and/or figures; a1) actuating the perforating equipment for perforating the signature groups (33, 74; 92, 94) and, if present, the reduced signature group (59, 78; 98, 99) in weakening lines thereof provided for the folds of the signatures; b) actuating the transversal cutting equipment for cutting the strip (23, 71, 87) so as to separate, with respect to the last signature group, as reduced signature sheet (62, 81; 103, 104), the sheet section (35, 75) or the sheet sections (96, 97) having at least a page with text and/or figures; c) processing the reduced signature sheet (62, 81; 103, 104) by actuating the transversal folding equipment limited to the sheet sections (96, 97) having at least a page with text and/or figures or skipping the actuation of the transversal folding equipment for a single sheet section; d) actuating the longitudinal folding equipment, for longitudinal folding the reduced signature sheet (62, 81; 103, 104), as signature with reduced number of sheets (63, 83; 109, 111); and e) stacking the signature with reduced number of sheets (63, 83; 109, 111) on the other signatures (48, 82; 107, 108) for completing the basic book block (53, 84; 112, 113). a) identifying in said book section (32, 73; 88, 89; 91, 93) sheet sections (35, 75, 96, 97) formed by side by side basic sheets (34, 76), separable from the strip through a single cut, and a reduced signature group (59, 78; 98,99) including a number of sheet sections having at least a page with text and/or figures, for a book in which the part regarding a last signature group has at least a sheet section devoid of text and/or figures; a1) actuating the perforating equipment for perforating the signature groups (33, 74; 92, 94) and, if present, the reduced signature group (59, 78; 98, 99) in weakening lines thereof provided for the folds of the signatures; b) actuating the transversal cutting equipment for cutting the strip (23, 71, 87) so as to separate, with respect to the last signature group, as reduced signature sheet (62, 81; 103, 104), the sheet section (35, 75) or the sheet sections (96, 97) having at least a page with text and/or figures; c) processing the reduced signature sheet (62, 81; 103, 104) by actuating the transversal folding equipment limited to the sheet sections (96, 97) having at least a page with text and/or figures or skipping the actuation of the transversal folding equipment for a single sheet section; d) actuating the longitudinal folding equipment, for longitudinal folding the reduced signature sheet (62, 81; 103, 104), as signature with reduced number of sheets (63, 83; 109, 111); and e) stacking the signature with reduced number of sheets (63, 83; 109, 111) on the other signatures (48, 82; 107, 108) for completing the basic book block (53, 84; 112, 113).