1. In a data processing system including a data processor outputting first and second status signals, first and second operating control signals, first clock signals and first memory address signals, a memory system comprising; a dynamic random access memory coupled to said processor for receiving said first memory address signals; generator means coupled to said data processor for generating first and second timing signals in response to receiving said first operating control signals; first gating means coupled to said data processor for outputting an opcode fetch signal in response to receiving said first and second status signals; a plurality of bistable devices coupled to said generator means and said first gating means for generating a first control signal in response to receiving said opcode fetch signal and said first timing signals; first logic circuit means coupled to said bistable devices for outputting a first refresh signal in response to the generation of said first control signal; first multiplexer means coupled to said first logic circuit means, said generator means and said memory for outputting a second refresh signal, an address clock signal and first and second select signals in response to the outputting of said first refresh signal and the generation of said second timing signals to refresh one of a plurality of predetermined portions of said memory identified by the first memory address signals during an opcode fetch cycle of each instruction being executed by said processor; counter means coupled to said first multiplexer means for developing second memory address signals in response to the outputting of said address clock signal; second multiplexer means coupled to said counter means, said processor, said generator means and said first multiplexer means for transmitting the second memory address signals to said memory so that at the time of the generation of the next second refresh signal, a refresh operation can be performed on that portion of said memory identified by the second memory address signals in response to the outputting of said first select signal and for selecting address signals from said processor to enable read-write operations to be performed on data in said memory in response to the outputting of said second select signal; a first one-shot circuit coupled to said processor for outputting a second control signal upon the elapsing of a predetermined time period, said one-shot circuit being disabled from operation, said one-shot circuit being disabled from operation in response to receiving said second operating control signal; and second logic circuit means coupled to said first logic circuit means, said one-shot circuit and said processor for outputting a plurality of third control signals to said first logic circuit means in response to the outputting of said second control signal and said first clock signals enabling said first logic circuit means to output said first refresh signal to said first multiplexer means whereby the first multiplexer means will output a plurality of said second refresh signals and an associated sequence of address clock signals to the memory causing all of the portions in said memory to be sequentially refreshed upon failure of the processors to start processing before the expiration of said predetermined time period.