The invention is directed to an electrically/electronically controllable braking system including: a brake actuating device 6, at least two brake circuits (2, 4) and two processors (8a, 8b; 10a, 10b) for each brake circuit (2, 4) for driving the actuators (12a to 12d) and for the control of further functions such as slip control functions. The processors (8a, 8b) of the rear brake control are joined in a rear brake control apparatus 16 and the processors (10a, 10b) of the front wheel brake control are joined in a front brake control apparatus 18. The allocations of the functions of the electric control apparatus for both brake circuits are optimized especially while considering reliability. The brake actuating device 6 outputs its actuating function via signal lines 7 to all processors (8a, 8b; 10a, 10b). In order to do with a minimal number of processors, the processors (8a, 8b) of the rear axis circuit 4 assume additional functions (14a, 14b) of the overall vehicle control, such as ABS reference speed formation, driving dynamic control, et cetera. Preferably, the highly-integrated processors (8a, 8b) at the rear axis are operatively connected to each other via line 20 for the purpose of mutual control and switchoff in the event of a fault.