The present invention discloses a discrete three-dimensional memory (3D-M). Its 3D-M arrays are located on at least one 3D-array die, while its address-data translator (A/D-translator) is located on a separate peripheral-circuit die. The A/D-translator converts at least an address and/or data between logical space and physical space for the 3D-array die. A single A/D-translator die can support multiple 3D-array dies.