The present invention is a computer system which can perform master unit controlled memory accesses at a first rate, DMA controlled operations at a second rate and burst operations of both types at a higher third rate. The burst operation is set up by performing a standard access cycle, thus setting up the dynamic random access memory row address, and then performing a series of fast, column address-only accesses to the same page of memory. The fast mode must be exited to a standard rate access whenever a page boundary is crossed, with burst operations recommencing thereafter. Wait states can be inserted in all type operations. Thirty-two bit master units can downshift or step down to 16 bit operation to respond to 16 bit burstable responding units.