{"id":415,"date":"2018-01-22T14:55:22","date_gmt":"2018-01-22T14:55:22","guid":{"rendered":"http:\/\/learnlearn.uk\/gcsecs\/?page_id=415"},"modified":"2018-01-22T14:55:22","modified_gmt":"2018-01-22T14:55:22","slug":"binary-numbers","status":"publish","type":"page","link":"https:\/\/learnlearn.uk\/gcsecs\/binary-numbers\/","title":{"rendered":"Binary Numbers"},"content":{"rendered":"\n<div class=\"arconix-tabs-horizontal\"><ul class=\"arconix-tabs\"><li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-Starter\"><a class=\"\" href=\"#tab-Starter\">Starter<\/a><\/li>\n<li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-DecimaltoBinary\"><a class=\"\" href=\"#tab-DecimaltoBinary\">Decimal to Binary<\/a><\/li>\n<li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-BinarytoDecimal\"><a class=\"\" href=\"#tab-BinarytoDecimal\">Binary to Decimal<\/a><\/li>\n<li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-Practice\"><a class=\"\" href=\"#tab-Practice\">Practice<\/a><\/li>\n<li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-Activity\"><a class=\"\" href=\"#tab-Activity\">Activity<\/a><\/li>\n<li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-Homework\"><a class=\"\" href=\"#tab-Homework\">Homework<\/a><\/li>\n<li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-ClassPlenary\"><a class=\"\" href=\"#tab-ClassPlenary\">Class Plenary<\/a><\/li>\n<li data-arconix-icon=\" \" data-arconix-color=\" \" class=\"arconix-tab tab-Worksheets\"><a class=\"\" href=\"#tab-Worksheets\">Worksheets<\/a><\/li><\/ul>\n<div class=\"arconix-panes\"><div class=\"arconix-pane pane-Starter\">\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-78\" src=\"https:\/\/learnlearn.uk\/binary\/wp-content\/uploads\/sites\/11\/2017\/01\/intro-crossword.png\" alt=\"intro-crossword\" width=\"852\" height=\"574\" \/><\/p>\n<h3>Clues<\/h3>\n<pre><strong>Across<\/strong>\r\n1. Binary can be used to store text, sound, instructions and _________.\r\n4. On a cd this area is counted as a zero valuable.\r\n5. Binary data is easy and ________ to read.\r\n8. Eight binary digits\r\n9. CD Drives use a _______ to read cds.\r\n10. A number system consisting of just two states\r\n<strong>Down<\/strong>\r\n2. The code system used by shipping and telegraphs.\r\n3. Four binary digits\r\n6. One single binary digit\r\n7. The input ________ to a computer system is not very stable.\r\n\r\n<a href='https:\/\/docs.google.com\/document\/d\/1LycktRhGqVuvCTt4wAIfvo3v3qszzJtIeT3qpsXArXs\/edit?usp=sharing' class='arconix-button arconix-button-medium arconix-button-gray'>Printable Google Docs Version<\/a><\/pre>\n<\/div>\n<div class=\"arconix-pane pane-DecimaltoBinary\">\n<h3><strong>Decimal to Binary Conversion<\/strong><\/h3>\n<p>Let&#8217;s suppose we are trying to find the binary for the <strong>decimal number 75.<\/strong><\/p>\n<div class=\"arconix-accordions arconix-accordions-vertical arconix-accordions-1\"><div class=\"arconix-accordion-title accordion-Step1\"><i class=\"fa\"><\/i><p>Step 1<\/p><\/div><div class=\"arconix-accordion-content\">\n<h3><span style=\"color: #0000ff;\">Step 1 &#8211; Write the 128 to 1 numbers<\/span><\/h3>\n<p>Starting on the right hand side, write down the numbers 1, 2,4,8 etc, doubling each time until you reach 128.<\/p>\n<p><strong>Remember smallest number at the right hand side!!!<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-65\" src=\"https:\/\/learnlearn.uk\/binary\/wp-content\/uploads\/sites\/11\/2017\/01\/step-1.png\" alt=\"step-1\" width=\"967\" height=\"91\" \/><\/p>\n<\/div><div class=\"arconix-accordion-title accordion-Step2\"><i class=\"fa\"><\/i><p>Step 2<\/p><\/div><div class=\"arconix-accordion-content\">\n<h3><span style=\"color: #0000ff;\">Step 2 &#8211; Cross out the unused numbers<\/span><\/h3>\n<p>Keeping only the numbers that you need to add up to your decimal number, cross out all other numbers.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-66\" src=\"https:\/\/learnlearn.uk\/binary\/wp-content\/uploads\/sites\/11\/2017\/01\/step2.png\" alt=\"step2\" width=\"928\" height=\"172\" \/><\/p>\n<\/div><div class=\"arconix-accordion-title accordion-Step3\"><i class=\"fa\"><\/i><p>Step 3<\/p><\/div><div class=\"arconix-accordion-content\">\n<h3><span style=\"color: #0000ff;\">Step 3 &#8211; Write the ones or zeros<\/span><\/h3>\n<p>Under each number write a 1 if there is a number and a zero if you crossed out the number. Put the numbers all together and you have your binary number!<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-67\" src=\"https:\/\/learnlearn.uk\/binary\/wp-content\/uploads\/sites\/11\/2017\/01\/step-3.png\" alt=\"step-3\" width=\"962\" height=\"252\" \/><\/p>\n<\/div><\/div>\n<\/div>\n<div class=\"arconix-pane pane-BinarytoDecimal\">\n<p><strong>Binary to decimal Conversion<\/strong><\/p>\n<p>Let&#8217;s suppose we are trying to find the\u00a0decimal for the <strong>binary number 01101011.<\/strong><\/p>\n<div class=\"arconix-accordions arconix-accordions-vertical arconix-accordions-1\"><div class=\"arconix-accordion-title accordion-Step1\"><i class=\"fa\"><\/i><p>Step 1<\/p><\/div><div class=\"arconix-accordion-content\">\n<h3><span style=\"color: #0000ff;\">Step 1 &#8211; Write the 128 to 1 numbers<\/span><\/h3>\n<p>Starting on the right hand side, write down the numbers 1, 2,4,8 etc, doubling each time until you reach 128.<\/p>\n<p><strong>Remember smallest number at the right hand side!!!<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-65\" src=\"https:\/\/learnlearn.uk\/binary\/wp-content\/uploads\/sites\/11\/2017\/01\/step-1.png\" alt=\"step-1\" width=\"967\" height=\"91\" \/><\/p>\n<\/div><div class=\"arconix-accordion-title accordion-Step2\"><i class=\"fa\"><\/i><p>Step 2<\/p><\/div><div class=\"arconix-accordion-content\">\n<h3><span style=\"color: #0000ff;\">Step 2 &#8211; Write the ones and zeros below the numbers<\/span><\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-70\" src=\"https:\/\/learnlearn.uk\/binary\/wp-content\/uploads\/sites\/11\/2017\/01\/binarytodecstep1.png\" alt=\"binarytodecstep2\" width=\"949\" height=\"124\" \/><\/p>\n<\/div><div class=\"arconix-accordion-title accordion-Step3\"><i class=\"fa\"><\/i><p>Step 3<\/p><\/div><div class=\"arconix-accordion-content\">\n<h3><span style=\"color: #0000ff;\">Step 3 &#8211; Add up all the numbers with 1s below them to find your decimal number<\/span><\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-71\" src=\"https:\/\/learnlearn.uk\/binary\/wp-content\/uploads\/sites\/11\/2017\/01\/bintodecstep3.png\" alt=\"bintodecstep3\" width=\"958\" height=\"237\" \/><\/p>\n<\/div><\/div>\n<\/div>\n<div class=\"arconix-pane pane-Practice\">\n<div class=\"arconix-column-one-half\">\n<p><strong>Decimal to Binary<\/strong><\/p>\n<p>Try converting these decimal numbers to binary!<\/p>\n<p>a. 45<\/p>\n<p>b. 12<\/p>\n<p>c. 111<\/p>\n<p>d. 255<\/p>\n<p>e. 0<\/p>\n<\/div>\n<div class=\"arconix-column-one-half\">\n<p><strong>Binary to Decimal<\/strong><\/p>\n<p>Try converting these binary numbers to decimal<\/p>\n<p>f. 11101101<\/p>\n<p>g. 00010010<\/p>\n<p>h. 10101010<\/p>\n<p>i. 00101100<\/p>\n<p>j. 10111010<\/p>\n<\/div>\n<\/div>\n<div class=\"arconix-pane pane-Activity\">\n<p>Log on to Google Classroom and fill out your learning log for the lesson!<\/p>\n<a href='https:\/\/accounts.google.com\/ServiceLogin?service=classroom&#038;continue=https:\/\/classroom.google.com\/?emr%3D0&#038;followup=https:\/\/classroom.google.com\/?emr%3D0&#038;passive=true&#038;go=true#identifier' class='arconix-button arconix-button-medium arconix-button-gray' target=\"_blank\" >Google Classroom<\/a>\n<p>&nbsp;<\/p>\n<\/div>\n<div class=\"arconix-pane pane-Homework\">\n<p>Complete the binary numbers review quiz \u00a0on QuizMaster<\/p>\n<\/div>\n<div class=\"arconix-pane pane-ClassPlenary\">\n<p>Kahoot<\/p>\n<p>Have a go at this plenary as a class<\/p>\n<a href='https:\/\/play.kahoot.it\/#\/k\/b2c7696f-8f61-44ae-90ec-0480f4395313' class='arconix-button arconix-button-medium arconix-button-gray' target=\"_blank\" >Binary Kahoot<\/a>\n<\/div>\n<div class=\"arconix-pane pane-Worksheets\">\n<h3>Worksheet Generator<\/h3>\n<p>You can use this online worksheet generator to create more worksheets to practice converting from Denary to Binary and back again!<\/p>\n<a href='https:\/\/www.worksheetworks.com\/math\/numbers\/systems.html' class='arconix-button arconix-button-medium arconix-button-gray' target=\"_blank\" > Binary Worksheet Generator<\/a>\n<\/div><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.6 - 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