A basic associative memory utilizing cryogenic circuitry is described and its functions are compared with those of previously published associative memory descriptions. The ordered-retrieval sorting algorithm is described, along with its implementation by means of a ternary interrogating counter. A sorting example is given. The sorting efficiency is discussed and an efficiency formula is given. The required additions to the basic memory are outlined. Finally, some of the basic cryotron circuits are illustrated and their operation described.