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The logic primitive circuit, usually composed of resistive switching memory or memristor units, is the fundamental and kernel element to build a stateful logic family. However, the current stateful logic primitive circuits cannot be configured between the devices from the adjacent layers of the 3D crossbar array (CBA) which largely limited its application in high\u2010density and capacity memory arrays. Herein, a new stateful logic primitive circuit is presented based on the structure of two antiparallel bipolar memristors. The presented logic primitive circuit enables a complete set of stateful logic operation and is compatible with a 3D CBA. The working principle and validity of the logic design were experimentally demonstrated by either a real TiO<jats:sub>2<\/jats:sub>\u2010based memristive circuit or the HSPICE simulation. Furthermore, a space\u2010time\u2010wise cascading method was demonstrated by XOR and the full adder functions based on a CBA, and its merits were further elucidated through comparison with different logic families with various cascading methods.<\/jats:p><\/jats:sec>","DOI":"10.1002\/aisy.201900082","type":"journal-article","created":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T07:44:43Z","timestamp":1573112683000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":47,"title":["A Stateful Logic Family Based on a New Logic Primitive Circuit Composed of Two Antiparallel Bipolar Memristors"],"prefix":"10.1002","volume":"2","author":[{"given":"Nuo","family":"Xu","sequence":"first","affiliation":[{"name":"Institute for Quantum Information &amp; State Key Laboratory of High Performance Computing, and Microelectronics and Microprocessor Institute College of Computer National University of Defense Technology  Changsha Hunan 410073 China"},{"name":"Department of Materials Science and Engineering and Inter-University Semiconductor Research Center Seoul National University  Seoul 151-744 Republic of Korea"}]},{"given":"Tae Gyun","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering and Inter-University Semiconductor Research Center Seoul National University  Seoul 151-744 Republic of Korea"}]},{"given":"Hae Jin","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering and Inter-University Semiconductor Research Center Seoul National University  Seoul 151-744 Republic of Korea"}]},{"given":"Xinglong","family":"Shao","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering and Inter-University Semiconductor Research Center Seoul National University  Seoul 151-744 Republic of Korea"}]},{"given":"Kyung Jean","family":"Yoon","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering and Inter-University Semiconductor Research Center Seoul National University  Seoul 151-744 Republic of Korea"}]},{"given":"Tae Hyung","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering and Inter-University Semiconductor Research Center Seoul National University  Seoul 151-744 Republic of Korea"}]},{"given":"Liang","family":"Fang","sequence":"additional","affiliation":[{"name":"Institute for Quantum Information &amp; State Key Laboratory of High Performance Computing, and Microelectronics and Microprocessor Institute College of Computer National University of Defense Technology  Changsha Hunan 410073 China"}]},{"given":"Kyung Min","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering Korea Advanced Institute of Science and Technology  Daejeon 34141 Republic of Korea"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6254-9758","authenticated-orcid":false,"given":"Cheol Seong","family":"Hwang","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering and Inter-University Semiconductor Research Center Seoul National University  Seoul 151-744 Republic of Korea"}]}],"member":"311","published-online":{"date-parts":[[2019,12,9]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s2-42.1.230"},{"key":"e_1_2_9_3_1","unstructured":"C.Carvalho inProc. of IEEE Int. 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