The report has two aspects. One is the design of a versatile cryogenic associative memory; the other is the analytical survey of existing algorithms for associative memories, the description of certain new algorithms, and the discussion of the implementation of these algorithms in the as sociative memory of this report. The cryogenic associative memory described herein gains its versatility from the presence of a small number of tag bits of special design in each word. These tag bits may be used for the marking of words which satisfy certain criteria; thus, they serve to store intermediate and final results of various operations in the words concerned. In the discussion of associative memory algorithms, the basic features of these algorithms are analyzed. From this analysis, new variations of algorithms are developed in several instances which are in various ways superior to the existing ones. The implementation of the algorithms in the general-purpose associative memory of this report is also discussed and a number of new applications of associative memory techniques are described. (Author).