Abstract: Control circuitry in a computer system is responsive to an allow cycle steal signal from an I/O attachment operating in a burst or dedicated data transfer mode and generates control signals whereby the next data storage cycle is made available to an I/O device which is also capable of operating in a cycle steal mode. Upon completion of the next storage cycle, the operation reverts to burst mode and the I/O attachment operating in the burst mode is granted ensuing data storage cycles until it relinquishes a storage cycle to an I/O device capable of using and having a need for it.