{"id":1071,"date":"2014-05-18T14:44:02","date_gmt":"2014-05-18T20:44:02","guid":{"rendered":"http:\/\/www.netjeff.com\/wp\/?p=1071"},"modified":"2015-10-19T22:57:08","modified_gmt":"2015-10-20T04:57:08","slug":"a-computer-built-out-of-dominoes","status":"publish","type":"post","link":"https:\/\/www.netjeff.com\/wp\/?p=1071","title":{"rendered":"A computer built out of dominoes?"},"content":{"rendered":"<p>In the video below, a team built two computers out of dominoes.\u00a0 The first was capable of adding any two numbers between 0 (zero) and 7 (seven).\u00a0 The second computer they built was capable of adding any two numbers between 0 (zero) and 15 (fifteen).<\/p>\n<p><iframe loading=\"lazy\" src=\"\/\/www.youtube.com\/embed\/OpLU__bhu2w?rel=0\" width=\"640\" height=\"360\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>The computer you are using right now, deep under the covers, does everything in terms of binary <strong>addition<\/strong>.\u00a0 What about the other operations you ask?\u00a0 <!--more--><\/p>\n<ul>\n<li><strong>Multiplication<\/strong> is just repeated addition:\u00a0 8 x 4 is the same as 8+8+8+8.<\/li>\n<li><strong>Subtraction<\/strong> is just addition with negative numbers:\u00a0 8-4 is the same as 8+(-4)<\/li>\n<li><strong>Division<\/strong> is just repeated subtraction: 12\/4 is the same as subtracting 4 from 12 until you have nothing left.\u00a0 So if you start with 12, subtract 4 you have 8.\u00a0 Then subtract 4 again (from 8) leaving 4.\u00a0 Then subtract 4 one more time (from 4) leaving 0 (zero).\u00a0 So 3 times you subtracted 4 from 12, so 12\/4=3.<\/li>\n<\/ul>\n<p>So with addition your computer can do everything.\u00a0 Of course, your computer does it much faster than setting up and toppling dominoes.<\/p>\n<p>For more about computers built out of dominoes, <a href=\"http:\/\/youtu.be\/lNuPy-r1GuQ\">Domino Addition<\/a> on the <em>Numberphile<\/em> channel.\u00a0 If you're really really interested, stay to the very end of the video for even more.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the video below, a team built two computers out of dominoes.\u00a0 The first was capable of adding any two numbers between 0 (zero) and 7 (seven).\u00a0 The second computer they built was capable of adding any two numbers between 0 (zero) and 15 (fifteen). <a class=\"more-link\" href=\"https:\/\/www.netjeff.com\/wp\/?p=1071\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"video","meta":{"footnotes":""},"categories":[8,3,5],"tags":[],"class_list":["post-1071","post","type-post","status-publish","format-video","hentry","category-fun","category-programming","category-tech","post_format-post-format-video"],"_links":{"self":[{"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1071","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1071"}],"version-history":[{"count":7,"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1071\/revisions"}],"predecessor-version":[{"id":1078,"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1071\/revisions\/1078"}],"wp:attachment":[{"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1071"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1071"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.netjeff.com\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}