A data processing system 2 is described having a central processing unit 4 and a diagnostic mechanism 10. The central processing unit 4 is switchable into a power-down mode from which it may resume into a normal operation mode. When the central processing unit 4 resumes into the normal operation mode, execution of program instructions is inhibited by the diagnostic mechanism 10 to allow the diagnostic mechanism to be appropriately programmed such that the immediate power-up code and operations can be properly diagnosed. The requirement to prevent program instruction execution on power-up is programmed by writing to a latch 16 within the diagnostic mechanism 10 prior to the power-down. The prevention of program execution may be achieved, for example, by generation of a halt request or by extending the time period for which the central processing unit 4 is held in reset following power-up.