A failure diagnosis circuit includes a multiplexer and a controller. The multiplexer receives address signals, and selectively outputs one of the address signals to an addressable module in response to a selecting signal. The controller generates a first one of address signals and the selecting signal. A built-in self-test circuit generates the second address signal. The addressable module includes addressable components responsive to the address signal. The controller processes the output of the addressable module responsive to the address signal to make a failure diagnosis. The built-in self-test circuit performs signature analysis on the read out output of the addressable module.