An integrated circuit includes a memory core and a built-in self-test (BIST) controller. The memory core has an array of memory cells located at intersections of a plurality of word lines and a plurality of bit line pairs. The BIST controller is coupled to the memory core and has a mission mode and a built-in self-test mode. When in the mission mode, the BIST controller performs read and write accesses using precharge on demand. When in the built-in self-test mode, the BIST controller performs a floating bit line test by draining a voltage on true and complement bit lines of a selected bit line pair and subsequently precharging the true and complement bit lines of the selected bit line pair, before reading or writing data using the true and complement bit lines of the selected bit line pair.