I take it that the plc is no longer functioning?
Usually a "checksum failure" means that the program has gone belly up and/or there is something fatally wrong with the plc. Most often this is either that the battery has died (I am assuming that the 315 had battery backed memory, I've never used one) and power was lost to the plc causing the memory to corrupt, or the capacitors on the internal power supply have degraded to the point that the plc is running on too low of a voltage to support communications.
Most often it is the power supply. As far as I know there is not a readily available processor to directly replace the TI315. You might hunt around some of the remanufacturers to see if any of them have one laying around that works, but the best bet is just to replace is with something more modern, after all it is over 15 years old.