A high-speed digital printing system for a continuous paper web (39, 42) comprising a web unwinding and splicing installation and a printing station, in which the unwinding and splicing installation includes two unwinding machines (32 and 33) for two input web coils (38 and 41) and an input cutting and splicing equipment and in which the input cutting and splicing equipment supplies, in turn, the printing station with the web of the two coils for printing on an outgoing web, the said system being characterized in that it further comprises a splicing and rewinding installation which includes an output cutting and splicing equipment, two rewinding machines (148 and 149) with two respective output coils (151 and 152) and an electronic controller, wherein the output cutting and splicing equipment receives the outgoing web from the printing station as an incoming web and can be activated for feeding the rewinding machines (148 and 149) by cutting the incoming web and splicing the incoming web with a web (154, 156) of the two output coils without stopping printing, the output cutting and splicing equipment, and the rewinding machines (148 and 149) are switchable between a reference configuration in which a first output coil (151, 152) is an operating coil and the second coil (152, 151) is a waiting coil and a switched configuration in which the second output coil (152, 151) is an operating coil and the first coil (151, 152) is a waiting coil, and wherein the electronic controller responds to an operative change of the system from a reference condition to a modified condition for switching the functionality of the output cutting and splicing equipment and of the rewinding machines (148 and 149) from the reference configuration to the switched configuration and responds to an operative change of the system from the modified condition to the reference condition to restore the functionality of the output cutting and splicing equipment (148 and 149) and of the rewinding machines (148 and 149) to the reference configuration. a splicing and rewinding installation which includes an output cutting and splicing equipment, two rewinding machines (148 and 149) with two respective output coils (151 and 152) and an electronic controller, wherein the output cutting and splicing equipment receives the outgoing web from the printing station as an incoming web and can be activated for feeding the rewinding machines (148 and 149) by cutting the incoming web and splicing the incoming web with a web (154, 156) of the two output coils without stopping printing, the output cutting and splicing equipment, and the rewinding machines (148 and 149) are switchable between a reference configuration in which a first output coil (151, 152) is an operating coil and the second coil (152, 151) is a waiting coil and a switched configuration in which the second output coil (152, 151) is an operating coil and the first coil (151, 152) is a waiting coil, and wherein the electronic controller responds to an operative change of the system from a reference condition to a modified condition for switching the functionality of the output cutting and splicing equipment and of the rewinding machines (148 and 149) from the reference configuration to the switched configuration and responds to an operative change of the system from the modified condition to the reference condition to restore the functionality of the output cutting and splicing equipment (148 and 149) and of the rewinding machines (148 and 149) to the reference configuration.