A memory system including a content addressable memory having an array of content addressable memory elements including a plurality of rows of content addressable memory elements and a plurality of columns of content addressable memory elements is provided. Each of the content addressable memory elements further includes a first superconducting quantum interference device (SQUID) and a second superconducting quantum interference device (SQUID), where an input bit to each of the content addressable memory elements is compared with: (1) a first state of the first SQUID and (2) a second state of the second SQUID to generate an output signal. The memory system further includes a Josephson magnetic random access memory (JMRAM), coupled to the content addressable memory.